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The normal force is the specific contact force exerted by a surface perpendicular to its plane to support an object resting upon it. This force arises from the electromagnetic repulsion between the atoms of the surface and the object, effectively preventing them from passing through each other. It acts directly opposite to the component of gravity pulling the object down, ensuring the object remains stationary on the surface. Without this perpendicular support, the object would accelerate downward due to gravity. Therefore, it is the precise term for the surface's reaction to the weight of the resting object.

Question 2 Easy Mcq

✓ Correct ✗ Incorrect

A ball is dropped from a height of 2.25 m on a smooth floor and rises to a height of 1.00 m after the bounce. The coefficient of restitution between the ball and the floor is

0.33

0.44

0.57

0.67

Explanation:

The coefficient of restitution is determined by the square root of the ratio of the rebound height to the initial drop height, as kinetic energy is proportional to height. By taking the square root of 1.00 m divided by 2.25 m, we calculate the ratio of the velocities just after and before impact. This mathematical relationship directly yields a value of approximately 0.67, confirming that the ball retains about two-thirds of its impact speed after the collision.

Question 3 Easy Mcq

✓ Correct ✗ Incorrect

The shape of a suspended cable under its own weight is

Parabolic

Circular

Catenary

Elliptical

Explanation:

A suspended cable hanging freely under its own uniform weight assumes a specific curve known as a catenary. This shape arises because the tension in the cable balances the gravitational force acting vertically along its length, resulting in a hyperbolic cosine function rather than a simple parabola. Unlike a parabolic arc which forms when the load is distributed horizontally, the catenary accounts for the cable's linear mass density. Consequently, the resulting geometry is mathematically defined by the catenary equation, making it the precise description of the cable's natural form.

Question 4 Easy Mcq

✓ Correct ✗ Incorrect

A uniform pyramid and a uniform prism of same height lie with their base on the surface. Which is more stable ?

Pyramid

Prism

Both equally stable

None of the above

Explanation:

Stability is primarily determined by the relationship between an object's center of gravity and its base area. A pyramid has a significantly smaller top surface area compared to a prism, which causes its center of gravity to be positioned lower relative to its footprint. This lower center of gravity combined with a wide base makes the pyramid much harder to tip over, resulting in greater stability than the prism under the given conditions.

Question 5 Easy Mcq

✓ Correct ✗ Incorrect

What is the primary objective of risk assessment in applied engineering?

Identifying potential hazards and their impacts

Optimizing project schedules

Estimating project costs

Ensuring regulatory compliance

Explanation:

Risk assessment fundamentally focuses on the systematic identification of potential hazards and the analysis of their possible impacts on a system or project. By pinpointing these risks early, engineers can implement necessary controls to prevent accidents or minimize damage. This proactive approach forms the core safety foundation in applied engineering, distinguishing it from secondary concerns like scheduling or cost estimation. Consequently, understanding and managing these hazards is the essential first step in ensuring overall operational safety and reliability.

Question 6 Easy Mcq

✓ Correct ✗ Incorrect

The force acting on a point on the surface of a rigid body may be considered to act

At the centre of gravity of the body

On the periphery of the body

At any point in the line of action of the force

At any point on the surface normal to the line of action of the force

Explanation:

In rigid body mechanics, a force is a sliding vector, meaning its point of application can be moved anywhere along its line of action without changing the external effect on the body. This property allows us to treat the force as acting at any specific point within that line to simplify calculations or visualize equilibrium conditions. Consequently, the exact location on the surface is less critical than the geometric path defined by the force's direction and magnitude. This principle ensures that the resulting translational and rotational effects remain consistent regardless of the chosen point on the line. Therefore, considering the force at any point along its line of action is the standard and correct approach for analysis.

Question 7 Easy Mcq

✓ Correct ✗ Incorrect

Williot-Mohr diagram is used to determine deflection in

Trusses only

Beam only

Rigid frames only

Any type of structure

Explanation:

The Williot-Mohr diagram is a graphical technique specifically designed to calculate joint displacements in truss structures by combining geometric compatibility with equilibrium conditions. It relies on the assumption that members remain straight and only experience axial deformation, which is the fundamental behavior of trusses where joints are pinned. By constructing a vector polygon based on member length changes, the method directly maps out the deformed shape of the truss without needing complex integration used for beams or frames. This makes it the ideal and most efficient tool for analyzing deflection in truss systems where bending moments are negligible. Consequently, it provides precise displacement values that are essential for verifying serviceability limits in truss design.

Question 8 Easy Mcq

✓ Correct ✗ Incorrect

Which engineering discipline is concerned with the design and construction of physical structures?

Civil engineering

Mechanical engineering

Electrical engineering

Chemical engineering

Explanation:

Civil engineering is the specific discipline dedicated to planning, designing, and constructing the physical infrastructure that supports modern society. This field encompasses the creation of essential structures such as bridges, roads, skyscrapers, dams, and tunnels, ensuring they are safe and functional. Engineers in this domain apply principles of physics and mathematics to analyze loads and materials, guaranteeing that buildings and public works can withstand environmental forces. Consequently, any project focused on the tangible erection of large-scale physical structures falls squarely within the scope of civil engineering practice.

Question 9 Easy Mcq

✓ Correct ✗ Incorrect

Which engineering discipline deals with the design and development of medical devices and technologies?

Biomedical engineering

Electrical engineering

Mechanical engineering

Aerospace engineering

Explanation:

Biomedical engineering is the specialized field that directly integrates engineering principles with medical science to create innovative devices and technologies. This discipline focuses specifically on designing tools like artificial organs, imaging systems, and surgical robots to improve patient care and diagnostic accuracy. By combining knowledge of biology with mechanical, electrical, and materials science, this field ensures that medical solutions are both functional and safe for human use. It serves as the primary bridge between advanced engineering concepts and practical healthcare applications. Consequently, it is the definitive answer for the design and development of medical technologies.

Question 10 Easy Mcq

✓ Correct ✗ Incorrect

The maximum velocity of a body vibrating with a simple harmonic motion of amplitude 150 mm and frequency 2 vibrations/sec, is

0.18845 m/sec

188.5 m/sec

18.85 m/sec

1.885 m/sec

Explanation:

The maximum velocity in simple harmonic motion is calculated using the formula v_max = ωA, where angular frequency ω equals 2πf and A is the amplitude. Substituting the given values (f = 2 Hz and A = 0.15 m) yields v_max = 2π(2)(0.15), which simplifies to approximately 1.885 m/sec. This result directly matches the correct option, demonstrating that the peak speed occurs at the equilibrium position where the restoring force is zero but momentum is highest. The calculation confirms the relationship between oscillation frequency, displacement magnitude, and the resulting maximum linear speed.

Question 11 Easy Mcq

✓ Correct ✗ Incorrect

Which one of the following laws is not applicable to a simple pendulum?

The time period is proportional to its length l

The time period is inversely proportional to g where g is the acceleration due to gravity

The time period is proportional to l where l is length

The time period does not depend on its magnitude

Explanation:

The time period of a simple pendulum is directly proportional to the square root of its length, meaning a longer pendulum swings more slowly. Conversely, the time period is inversely proportional to the square root of gravitational acceleration, not directly inversely proportional to g itself. Therefore, the statement claiming direct proportionality to length without the square root relationship is incorrect, while the claim about independence from mass is a fundamental property of simple harmonic motion in this context.

Question 12 Easy Mcq

✓ Correct ✗ Incorrect

The ratio of the moment of inertia of a rectangle about its centroidal axis to the moment of inertia about its base is

1/4

1/2

3/4

Explanation:

The moment of inertia of a rectangle about its centroidal axis is given by bh³/12, while about its base it is bh³/3. Dividing the first by the second yields (bh³/12) ÷ (bh³/3) = 3/12, which simplifies to 1/4. This result reflects how mass distribution affects rotational resistance, being significantly lower when calculated about the center compared to the edge. The factor of four difference arises directly from the parallel axis theorem applied to rectangular sections. Understanding this ratio helps in analyzing structural bending and stability efficiently.

Question 13 Easy Mcq

✓ Correct ✗ Incorrect

The tension in a cable supporting a lift

Is more when the lift is moving downwards

Is less when the lift is moving upwards

Remains constant whether its moves downwards or upwards

Is less when the lift is moving downwards

Explanation:

The tension in the cable is determined by the net force required to accelerate the lift and counteract gravity. When the lift moves downwards, it typically accelerates in the direction of gravity, meaning the cable only needs to support a portion of the lift's weight to allow this downward acceleration. Consequently, the upward tension force is less than the full weight of the lift, making option D the correct physical description of this scenario.

Question 14 Easy Mcq

✓ Correct ✗ Incorrect

For perfectly elastic bodies, the value of the

Coefficient of restitution is

Zero

0.5

1.0

Explanation:

For perfectly elastic bodies, collisions conserve both kinetic energy and momentum without any loss to heat or deformation. The coefficient of restitution quantifies this energy retention by comparing relative velocities before and after impact. Since no energy is dissipated in an ideal elastic collision, the bodies rebound with the same speed they approached, resulting in a coefficient of restitution exactly equal to 1.0. This value signifies a perfect, energy-conserving bounce where the objects separate completely after contact.

Question 15 Easy Mcq

✓ Correct ✗ Incorrect

A 50 kg boy climbs up an 8 m rope in the gymnasium in 10 sec. The average power developed by the boy is approximately

400 watts

500 watts

4000 watts

None of these

Explanation:

To find the average power, we first calculate the work done against gravity using the formula Work = mass × gravity × height, which equals 50 kg × 9.8 m/s² × 8 m, resulting in approximately 3920 Joules. Power is defined as the rate at which work is performed, so we divide the calculated work by the time taken of 10 seconds. This division yields a power output of roughly 392 Watts, which is closest to the 400 watts option provided.

Question 16 Easy Mcq

✓ Correct ✗ Incorrect

Which engineering discipline focuses on the design and development of software systems?

Software engineering

Civil engineering

Mechanical engineering

Biomedical engineering

Explanation:

Software engineering is the specific discipline dedicated to the systematic design, development, testing, and maintenance of computer software systems. It applies rigorous engineering principles to manage the complexity of large-scale applications and ensure they meet user requirements efficiently. This field encompasses the entire software lifecycle, from initial conceptualization to deployment and ongoing updates. By focusing exclusively on code architecture and system logic, it distinguishes itself from other engineering branches that deal with physical infrastructure or biological systems. Consequently, it is the definitive answer for any query regarding the creation of software solutions.

Question 17 Easy Mcq

✓ Correct ✗ Incorrect

Two circular discs of same weight and thickness are made from metals having different densities. Which disc will have the larger rotational inertia about its central axis ?

Disc with larger density

Disc with smaller density

Both discs will have same rotational inertia

None of the above

Explanation:

Rotational inertia depends on mass distribution relative to the axis, which is determined by the disc's volume and density. Since both discs have identical weight and thickness, the one with smaller density must have a larger volume to compensate. A larger volume implies a larger radius, causing more mass to be distributed farther from the central axis. This increased distance significantly raises the rotational inertia compared to the denser, smaller disc.

Question 18 Easy Mcq

✓ Correct ✗ Incorrect

Parallelogram Law of Forces states, "if two forces acting simultaneously on a particle be represented in magnitude and direction by two adjacent sides of a parallelogram, their resultant may be represented in magnitude and direction by

The diagonal of the parallelogram which does not pass through the point of intersection of the forces"

The diagonal of the parallelogram which passes through the point of intersection of the forces"

Its longer side"

Its shorter side"

Explanation:

The Parallelogram Law of Forces states that when two forces act simultaneously on a particle, they are represented by the adjacent sides of a parallelogram drawn from that particle. The resultant force is geometrically represented by the diagonal that originates from the same point where the two force vectors intersect. This specific diagonal captures both the combined magnitude and the correct direction of the net effect, distinguishing it from the opposite diagonal which represents the difference between the forces rather than their sum. Therefore, the resultant must always be the diagonal passing through the point of intersection of the original forces.

Question 19 Easy Mcq

✓ Correct ✗ Incorrect

What is the primary purpose of cost estimation in applied engineering?

To determine the financial feasibility of a project

To evaluate the environmental impact of a project

To identify potential risks and their impacts

To optimize project schedules

Explanation:

Cost estimation serves as a foundational tool in applied engineering to predict the total financial resources required for a project before it begins. By calculating anticipated expenses for materials, labor, and equipment, engineers can determine if the project aligns with budgetary constraints and investment goals. This financial projection is essential for securing funding and ensuring that the proposed solution is economically viable. Without accurate cost estimates, organizations risk undertaking projects that exceed their financial capacity, leading to potential failure. Therefore, establishing financial feasibility is the primary objective that guides all subsequent engineering and management decisions.

Question 20 Easy Mcq

✓ Correct ✗ Incorrect

A Seconds pendulum executes

3 beats per second

2.5 beats per second

1.0 beat per second

2.0 beats per second

Explanation:

A seconds pendulum is defined as a pendulum with a period of exactly two seconds, meaning it takes one second to swing from one extreme to the other and another second to return. Consequently, it completes one full oscillation every two seconds, which corresponds to two beats per second since a beat is counted each time the pendulum passes through its mean position. This specific timing ensures that the pendulum ticks once every half-second, resulting in a total of two beats within a single second interval. Therefore, the rate of oscillation is precisely 2.0 beats per second, making this the correct physical description.

Question 21 Easy Mcq

✓ Correct ✗ Incorrect

What is the principle stating that an object at rest tends to stay at rest, and an object in motion tends to stay in motion unless acted upon by an external force?

Newton's first law of motion

Newton's second law of motion

Newton's third law of motion

Law of conservation of momentum

Explanation:

This principle is known as Newton's first law of motion, also called the law of inertia. It states that an object will maintain its current state of motion, whether at rest or moving at a constant velocity, unless an unbalanced external force interferes. This fundamental concept explains why objects do not spontaneously start moving or stop on their own without a cause. It forms the foundational basis for classical mechanics by defining the natural behavior of matter in the absence of forces. Therefore, it is the precise definition provided in the question.

Question 22 Easy Mcq

✓ Correct ✗ Incorrect

What is expressed as a term that gives a fractional relation of change in the object's position concerning a reference frame with time?

Angular momentum

Moment of inertia

Velocity

Acceleration

Explanation:

Velocity is defined as the rate of change of an object's position with respect to time, mathematically expressed as the derivative of displacement. This concept directly quantifies how much the position changes over a specific time interval, providing a fractional or instantaneous relationship between movement and time. Unlike scalar speed, velocity includes direction, making it a vector quantity that fully describes the motion relative to a reference frame. Therefore, it is the precise term for describing the fractional relation of positional change occurring over time.

Question 23 Easy Mcq

✓ Correct ✗ Incorrect

When a circular wheel rolls on a straight track, then the shape of the body centrode and space

Centrode respectively are

Straight line and parabola

Straight line and circle

Circle and straight line

Explanation:

When a circular wheel rolls without slipping on a straight track, the path traced by the center of the wheel relative to the wheel itself forms a straight line, known as the body centrode. Conversely, the path traced by the center relative to the fixed track is a circle, which defines the space centrode. Therefore, the correct pairing describes the body centrode as a straight line and the space centrode as a circle, making option D the accurate choice.

Question 24 Easy Mcq

✓ Correct ✗ Incorrect

What term is used for a negative magnitude of acceleration?

Magnitude

Acceleration

Deceleration

Velocity

Explanation:

Acceleration describes the rate of change in velocity, and its sign indicates the direction relative to motion. When this change opposes the current direction of travel, the magnitude becomes negative, representing a slowing down effect. This specific scenario is scientifically termed deceleration, which directly corresponds to the concept of negative acceleration in everyday contexts. Therefore, the term accurately identifies the physical situation where an object loses speed over time. This makes it the precise and correct choice for describing such a magnitude.

Question 25 Easy Mcq

✓ Correct ✗ Incorrect

What is the second derivative of displacement concerning time called?

Velocity

Impulse

Acceleration

Jerk

Explanation:

Displacement represents an object's position in space, and its first derivative with respect to time defines velocity, which measures the rate of change of that position. Taking the derivative of velocity with respect to time yields the second derivative of displacement, which is fundamentally defined as acceleration. This quantity describes how quickly an object's velocity is changing at any given instant. Therefore, acceleration is the precise physical term for the rate of change of velocity or the second-order time derivative of position.

Question 26 Easy Mcq

✓ Correct ✗ Incorrect

Minimum pull in a suspended cable with supports at two ends is equal to

Horizontal thrust

Support reactions

Resultant of horizontal thrust and support reaction

Half the weight of the cable

Explanation:

In a cable suspended between two supports, the minimum pull occurs at the lowest point where the cable is perfectly horizontal. At this specific location, the vertical shear force is zero, meaning the internal tension is entirely composed of the horizontal component known as horizontal thrust. Consequently, the magnitude of the pull at the bottom is equal to the horizontal thrust, as no vertical force contributes to the tension at that exact point.

Question 27 Easy Mcq

✓ Correct ✗ Incorrect

The angles between two forces to make their resultant a minimum and a maximum respectively are

0° and 90°

180° and 90°

90° and 180°

180° and 0°

Explanation:

The resultant force is minimized when the two forces act in exactly opposite directions, creating an angle of 180° which causes them to partially cancel each other out. Conversely, the resultant force reaches its maximum value when both forces act in the same direction, resulting in an angle of 0° where their magnitudes simply add together. Therefore, the specific angles required to achieve a minimum and maximum resultant are 180° and 0° respectively.

Question 28 Easy Mcq

✓ Correct ✗ Incorrect

What discipline is concerned with the motion of any substance that can be experienced or perceived by humans without the help of instruments?

Mathematics

Physics

Geology

Applied Mechanics

Explanation:

Applied Mechanics is the specific discipline that studies the motion and forces acting on tangible substances observable by human senses without instruments. It focuses on practical applications of mechanics to real-world objects like vehicles, structures, and machines that we can see and touch. This field bridges theoretical physics with engineering practice by analyzing how everyday materials respond to motion and stress. Unlike pure mathematics or abstract geology, it directly addresses the behavior of physical entities in our immediate environment. Therefore, it is the correct choice for understanding motion of perceivable substances.

Question 29 Easy Mcq

✓ Correct ✗ Incorrect

If the resultant of two forces has the same magnitude as either of the force, then the angle between the two forces is

30°

45°

60°

120°

Explanation:

When two forces act together, their resultant magnitude depends on both their individual strengths and the angle between them. If the resultant equals the magnitude of one of the original forces, the vector addition forms an isosceles triangle where the two sides represent the forces and the third side represents the resultant. Using the law of cosines for this specific geometric configuration, the angle between the two force vectors must be 120 degrees to satisfy the condition that the resultant length matches one of the component forces.

Question 30 Easy Mcq

✓ Correct ✗ Incorrect

The total time of collision and restitution of two bodies, is called

Period of impact

Period of collision

All these

Time of collision

Explanation:

The total duration encompassing both the deformation phase (collision) and the recovery phase (restitution) is technically defined as the period of impact. This term accurately describes the brief interval during which two bodies interact, exchange momentum, and separate. While synonyms like "time of collision" are sometimes used colloquially, "period of impact" is the precise standard terminology in mechanics. Therefore, options referring to this specific duration are all valid descriptions of the same physical concept.

Question 31 Easy Mcq

✓ Correct ✗ Incorrect

The C.G. of a right circular cone lies on its axis of symmetry at a height of

H/3

H/6

H/5

H/4

Explanation:

The center of gravity of a right circular cone is located on its axis of symmetry at one-third of the height from the base. This result is derived by integrating the mass distribution of the cone, showing that the centroid shifts upward from the base as the cone tapers to a point. Consequently, the correct position is exactly H/3 above the base, making option A the accurate choice for this geometric property.

Question 32 Easy Mcq

✓ Correct ✗ Incorrect

What is the purpose of documentation in applied engineering projects?

Ensuring effective knowledge transfer

Providing legal protection

Facilitating project collaboration

All of the above

Question 33 Easy Mcq

✓ Correct ✗ Incorrect

What is the term for the force that opposes the relative motion of objects in contact?

Tension

Friction

Normal force

Gravitational force

Explanation:

Friction is the specific force that arises between two surfaces in contact, acting directly against their relative motion or tendency to move. This force originates from microscopic irregularities on the surfaces interlocking and the electromagnetic interactions between molecules, which resist sliding. It is the fundamental mechanism that slows down moving objects or prevents stationary ones from starting to slide when pushed. Without this resistive force, any slight push would cause continuous motion, making controlled movement and stability impossible in our daily lives. Therefore, it is the precise term for the force opposing the relative motion of objects touching each other.

Question 34 Easy Mcq

✓ Correct ✗ Incorrect

What is the term for the ratio of the output force to the input force in a machine?

Efficiency

Work

Power

Mechanical advantage

Explanation:

Mechanical advantage is the specific term used to describe how much a machine multiplies an input force to produce a larger output force. It is calculated by dividing the output force by the input force, providing a direct measure of the machine's force amplification capability. This ratio indicates the effectiveness of the machine in reducing the effort needed to perform a task, regardless of the distance the force is applied. By focusing solely on the relationship between forces, this concept isolates the machine's ability to change force magnitude. It serves as a fundamental metric for understanding simple machines like levers and pulleys. Therefore, this definition precisely matches the description given in the question.

Question 35 Easy Mcq

✓ Correct ✗ Incorrect

A ball moving with a velocity of 5 m/sec impinges a fixed plane at an angle of 45° and its direction after impact is equally inclined to the line of impact. If the coefficient of restitution is 0.5, the velocity of the ball after impact will be

2.5 m/sec

1.5 m/sec

0.5 m/sec

4.5 m/sec

Explanation:

When a ball strikes a fixed plane, the component of velocity parallel to the plane remains unchanged, while the perpendicular component is reduced by the coefficient of restitution. Since the rebound direction is equally inclined to the line of impact as the approach, the ratio of the parallel to perpendicular velocity components stays constant. By resolving the initial 5 m/s velocity at 45° and applying the restitution factor of 0.5 to the normal component, the resulting speed calculates precisely to 2.5 m/sec.

Question 36 Easy Mcq

✓ Correct ✗ Incorrect

Three forces act on a rigid body to keep it in equilibrium. The forces must be coplanar and

Concurrent

Parallel

Concurrent parallel

None of these

Explanation:

For a rigid body to remain in equilibrium under the action of exactly three coplanar forces, the lines of action of these forces must intersect at a single common point, known as being concurrent. This geometric requirement ensures that the net moment about that intersection point is automatically zero, satisfying the rotational equilibrium condition. Consequently, the vector sum of the forces must also equal zero to satisfy translational equilibrium. If the forces were not concurrent, they would create an unbalanced couple causing rotation, violating the equilibrium state. Therefore, the forces must be both coplanar and concurrent to maintain a stable static condition.

Question 37 Easy Mcq

✓ Correct ✗ Incorrect

A rigid body is in a stable equilibrium if the application of any force

Can raise the CG of the body but can not lower it

Tends to lower the CG of the body

Neither raises or lowers the CG of the body

None of above

Explanation:

A rigid body is in stable equilibrium because any small displacement causes the center of gravity to rise, creating a restoring force that returns it to the original position. Consequently, applying a force to move the body away from equilibrium inherently requires raising its center of gravity, while the system naturally resists any motion that would lower it. This unique property ensures that the lowest potential energy state is maintained at the equilibrium point, making option A the correct description of this physical behavior.

Question 38 Easy Mcq

✓ Correct ✗ Incorrect

A force P of 50 N and another force Q of unknown magnitude act at 90° to each other. They are balanced by a force of 130 N. The magnitude of Q is

60 N

80 N

100 N

120 N

Explanation:

When two forces act at right angles, their resultant is found using the Pythagorean theorem, and for equilibrium, the balancing force must equal this resultant magnitude. Here, the balancing force of 130 N represents the hypotenuse of a right triangle where one leg is the known force P (50 N) and the other leg is the unknown force Q. By applying the formula $R^2 = P^2 + Q^2$, we substitute the values to get $130^2 = 50^2 + Q^2$. Solving for Q involves subtracting $50^2$ from $130^2$ and taking the square root, which yields $Q = 120$ N, confirming the correct magnitude.

Question 39 Easy Mcq

✓ Correct ✗ Incorrect

What is the momentum of a system identified?

A product of its mass and velocity

Strength of the gravitational force

The product of its mass and velocity squared

The sum of its mass and velocity

Explanation:

Momentum is a fundamental vector quantity in physics defined as the product of an object's mass and its velocity. This relationship captures how much motion an object possesses, where greater mass or higher speed results in increased momentum. The formula p = mv directly reflects this linear dependence on both variables, making it the precise mathematical identification of a system's momentum. Unlike energy, which involves velocity squared, momentum strictly scales with the first power of velocity. Therefore, calculating mass multiplied by velocity provides the exact value for the system's momentum.

Question 40 Easy Mcq

✓ Correct ✗ Incorrect

Minimum potential energy of a system will be in the position of

Stable equilibrium

Unstable equilibrium

Neutral equilibrium

All of the above

Explanation:

A system naturally seeks the state of lowest potential energy, which corresponds to a stable equilibrium where any small displacement results in a restoring force pushing it back. At this specific position, the potential energy curve reaches a local minimum, ensuring the system remains at rest unless acted upon by an external force. This contrasts with unstable equilibrium, where potential energy is at a maximum, or neutral equilibrium, where potential energy remains constant. Therefore, the minimum potential energy is exclusively found in the position of stable equilibrium.

Question 41 Easy Mcq

✓ Correct ✗ Incorrect

What is the purpose of project management in applied engineering?

Planning and coordinating engineering projects

Designing engineering systems and components

Conducting technical analyses and simulations

Developing engineering prototypes

Explanation:

Project management in applied engineering serves as the essential framework for planning and coordinating all aspects of a project, from initial conception to final delivery. It ensures that resources, timelines, and budgets are effectively aligned to achieve specific engineering goals without unnecessary delays. By establishing clear communication channels and structured workflows, it allows diverse teams to collaborate efficiently while managing complex constraints. This systematic approach guarantees that the project remains on track and delivers value to stakeholders. Ultimately, it transforms abstract engineering ideas into tangible, successful outcomes through disciplined organization.

Question 42 Easy Mcq

✓ Correct ✗ Incorrect

The coefficient of friction depends on

Nature of surfaces only

Area of contact only

Both and

None of the above

Explanation:

The coefficient of friction is fundamentally determined by the roughness and material properties of the interacting surfaces, which dictate how they interlock at a microscopic level. It remains independent of the apparent area of contact because increasing the contact area simply reduces the pressure per unit area, leaving the total frictional force proportional to the normal reaction. Consequently, factors like surface texture and material composition are the sole governing variables for this dimensionless constant in standard dry friction models.

Question 43 Easy Mcq

✓ Correct ✗ Incorrect

To double the period of oscillation of a simple pendulum

The mass of its bob should be doubled

The mass of its bob should be quadrupled

Its length should be quadrupled

Its length should be doubled

Explanation:

The time period of a simple pendulum is determined by the formula T = 2π√(L/g), which shows that the period depends only on the length of the pendulum and gravity, not on the mass of the bob. Since the period is directly proportional to the square root of the length, increasing the length by a factor of four results in the square root of four, which is two, thereby exactly doubling the oscillation period. This fundamental relationship highlights that changing the mass has no effect on the timing, while adjusting the length provides the necessary control to alter the period as intended.

Question 44 Easy Mcq

✓ Correct ✗ Incorrect

The equation of motion of a particle starting from rest along a straight line is x = t3 - 3t2 + 5. The ratio of the accelerations after 5 sec and 3 sec will be

Explanation:

To find the ratio of accelerations, we first determine acceleration by taking the second derivative of the position function x = t³ - 3t² + 5, which yields a(t) = 6t - 6. Evaluating this at t = 5 seconds gives an acceleration of 24 m/s², while at t = 3 seconds it is 12 m/s². The ratio of these two values is simply 24 divided by 12, which equals 2. This straightforward calculation demonstrates how the linear dependence of acceleration on time in this specific cubic motion problem leads directly to the correct option.

Question 45 Easy Mcq

✓ Correct ✗ Incorrect

The phenomenon of collision of two elastic bodies takes place because bodies

Immediately after collision comes momentarily to rest

Tend to compress each other till they are compressed maximum possible

Attempt to regain its original shape due to their elasticities

All the above

Explanation:

When two elastic bodies collide, they first deform and compress against each other until maximum compression is reached. Immediately after this point, the inherent elasticity of the materials causes them to attempt regaining their original shapes. This restorative force pushes the bodies apart, resulting in the separation phase of the collision. Therefore, the phenomenon of collision is fundamentally driven by the bodies' tendency to recover their form after maximum compression. This process ensures that kinetic energy is temporarily stored as elastic potential energy before being released.

Question 46 Easy Mcq

✓ Correct ✗ Incorrect

A stone is whirled in a vertical circle, and the tension in the string is maximum

When the string is horizontal

When the stone is at the highest position

When the stone is at the lowest position

At all the positions

Explanation:

The tension in the string is the sum of the gravitational force and the required centripetal force acting on the stone. At the lowest position, gravity acts downward while the centripetal force points upward toward the center, meaning the string must pull hardest to counteract gravity and provide the necessary inward acceleration. This combination results in the maximum tension value compared to other positions in the vertical circle.

Question 47 Easy Mcq

✓ Correct ✗ Incorrect

What is a field of study that describes the possible motions of a body or system without evaluating the force of motion?

Statics

Kinematics

Dynamics

Thermodynamics

Explanation:

Kinematics is the specific branch of mechanics that focuses exclusively on describing motion through variables like position, velocity, and acceleration. It operates by analyzing the geometric aspects of movement without considering the forces or masses that cause the motion. This approach allows scientists to predict trajectories and understand patterns of motion purely based on mathematical relationships. By isolating the description of movement from its causes, kinematics provides a foundational framework for analyzing complex systems. Consequently, it perfectly matches the definition of studying possible motions without evaluating the underlying forces.

Question 48 Easy Mcq

✓ Correct ✗ Incorrect

A ball that is thrown upwards returns to the ground describing a parabolic path during its flight

Vertical component of velocity remains constant

Horizontal component of velocity remains constant

Speed of the ball remains constant

Kinetic energy of the ball remains constant

Explanation:

In projectile motion, gravity acts solely in the vertical direction, causing a constant downward acceleration that changes the vertical velocity. Since there are no horizontal forces acting on the ball (ignoring air resistance), the horizontal component of velocity experiences no acceleration and therefore remains constant throughout the entire flight. This principle of independence between perpendicular motion components ensures that while the ball speeds up or slows down vertically, its forward speed stays unchanged from launch until impact.

Question 49 Easy Mcq

✓ Correct ✗ Incorrect

A point subjected to a number of forces will be in equilibrium, if

Sum of resolved parts in any two directions at right angles are both zero

Algebraic sum of the forces is zero

Two resolved parts in any two directions at right angles are equal

Algebraic sum of the moments of the forces about the point is zero

Explanation:

For a point to remain in equilibrium under multiple forces, the net force acting on it must be zero, meaning the vector sum of all forces vanishes. This condition is mathematically satisfied when the algebraic sum of the resolved components of these forces in any two mutually perpendicular directions equals zero simultaneously. By resolving forces along orthogonal axes, we ensure that there is no unbalanced acceleration in either the horizontal or vertical direction, thereby maintaining static balance. This fundamental principle of vector resolution confirms that satisfying the zero-sum condition in two right-angle directions is sufficient to guarantee complete equilibrium for a particle.

Question 50 Easy Mcq

✓ Correct ✗ Incorrect

What is the main goal of sustainability engineering?

Minimizing environmental impact

Maximizing profits

Reducing production costs

Improving operational efficiency

Explanation:

Sustainability engineering primarily focuses on designing systems and processes that minimize harm to the natural environment throughout their entire lifecycle. This approach ensures that resource consumption is reduced, waste is managed responsibly, and ecological balance is maintained for future generations. While economic factors like profits or efficiency are important, the core definition centers on environmental stewardship. Therefore, minimizing environmental impact is the fundamental objective that distinguishes this field from traditional engineering practices.

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