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Applied Mechanics and Graphic Statics MCQs

Free 119+ Applied Mechanics and Graphic Statics MCQs for PPSC, FPSC, NTS, and Pakistan government job tests. Practise below with answers and explanations.

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119 questions in this list. Select an option to practice, or open a question for the full page with explanation.

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Applied Mechanics and Graphic Statics

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1.Which of the following statements is accurate regarding centrodes?

The body centrode rolls along the space centrode.The space centrode rolls along the body centrode.Both the body and space centrodes roll over each other.The body centrode does not come into contact with the space centrode.

2.Two forces, P and Q, act perpendicular to each other. Force P has a magnitude of 50 N, while force Q is unknown. They are counteracted by a single force of 130 N. What is the magnitude of force Q?

60 N80 N100 N120 N140 N

3.What is the angle between two forces if their resultant force equals the magnitude of one of the forces?

30 degrees45 degrees60 degrees120 degrees90 degrees

4.What are the angles between two forces that result in the minimum and maximum magnitude of their resultant force, respectively?

0° and 90°180° and 90°90° and 180°180° and 0°90° and 0°

5.Two forces, P and Q, combine to produce a resultant force R. If the magnitude of Q is doubled and the new resultant becomes perpendicular to P, what can be concluded?

The magnitude of P equals RThe magnitude of Q equals RThe magnitudes of P and Q are equalNone of the above statements are true

6.A disc with a mass of 4 kg, radius of 0.5 m, and a moment of inertia of 3 kg·m² rolls on a flat surface with its center moving at 5 m/s. What is the total kinetic energy of the disc?

50 joules150 joules200 joules400 joulesNone of the above

7.Which of the following represents a state of unstable equilibrium?

A uniform solid cone positioned on its slant edge on a frictionless flat surfaceA uniform solid cone standing upright on its base on a flat surfaceA solid cube balanced on one of its edgesA satellite orbiting around the Earth

8.A uniform pyramid and a uniform prism, both having the same height, are placed on a flat surface with their bases down. Which of the two is more stable?

The pyramidThe prismBoth have equal stabilityNeither is stableCannot be determined

9.A rigid body is considered to be in stable equilibrium if any applied force__________________?

is capable of increasing the body's center of gravity but cannot decrease itcauses the center of gravity of the body to lowerdoes not change the height of the center of gravitynone of the above

10.Two circular metal discs have identical weight and thickness but are composed of materials with different densities. Which disc possesses the greater moment of inertia about its central axis?

The disc made from the metal with higher densityThe disc made from the metal with lower densityBoth discs have equal moments of inertiaNone of the given choicesCannot be determined from the information provided

11.A symmetric object is spinning around its symmetry axis with a moment of inertia of 2 kg·m² and an angular velocity of 2 revolutions per second. What is the angular momentum of the object in kg·m²/s?

46.7i81012

12.Torque generated by a force is influenced by which of the following factors?

Only factor (1)Factors (1) and (2) onlyFactors (1) and (3) onlyFactors (1), (2), and (3) altogether

13.A sphere and a cylinder, each having identical mass and radius, start rolling down the same incline from rest. Which object will reach the bottom first?

The sphere, because it possesses more rotational energy at the bottom than the cylinderThe sphere, as it has less rotational energy at the bottom compared to the cylinderThe cylinder, since it has greater rotational energy at the bottom than the sphereBoth arrive at the bottom simultaneously with equal rotational energyThe cylinder, because it rolls without slipping

14.A solid cylinder with mass M and radius R rolls down an inclined plane without slipping. What is the acceleration of its center of mass?

One-third of g times sine of the incline angleTwo-thirds of g multiplied by cosine of the incline angleTwo-thirds of g multiplied by sine of the incline angleg times sine of the incline angleNone of the above

15.Under what condition will a cylinder begin to slip on an inclined plane with an angle of inclination θ, given the static friction coefficient between the cylinder and the plane?

If the coefficient of static friction is less than (1/3) times tan θIf the coefficient of static friction is less than (2/3) times tan θIf the coefficient of static friction is less than (1/3) times sin θIf the coefficient of static friction is less than (2/3) times sin θIf the coefficient of static friction is greater than tan θ

16.Given the angular displacement θ = 2t³ – 3t², what is the angular acceleration at t = 1 second?

1 rad/s²4 rad/s²6 rad/s²12 rad/s²None of the above

17.A particle travels along a straight path with its position given by x = 6t² – t³, where t is in seconds and x in meters. What is the highest velocity reached by the particle during its motion?

6 meters per second12 meters per second24 meters per second48 meters per secondNone of the above

18.When does the instantaneous center lie at infinity in relation to angular velocity?

When the angular velocity remains steadyWhen the angular velocity equals zeroWhen the angular velocity reaches its peakWhen the angular velocity is at its lowestNone of the above

19.A 2-meter ladder is leaning against a wall, forming a 30° angle with the horizontal ground. At the moment the ladder begins to slip, where is the instantaneous center of rotation located?

Positions (1) and (3)Positions (1) and (4)Positions (2) and (3)Positions (2) and (4)None of the above

20.At what angle of projection are the horizontal range and the maximum height of a projectile equal?

36 degrees45 degrees56 degrees76 degreesNone of the above

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