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Civil Engineering (CE) Exam  >  Civil Engineering (CE) Test  >  Engineering Mechanics  >  Test: Angular Momentum - Civil Engineering (CE) MCQ

Angular Momentum - Free MCQ Practice Test with solutions, GATE Civil Engineering


MCQ Practice Test & Solutions: Test: Angular Momentum (10 Questions)

You can prepare effectively for Civil Engineering (CE) Engineering Mechanics with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Angular Momentum". These 10 questions have been designed by the experts with the latest curriculum of Civil Engineering (CE) 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 30 minutes
  • - Number of Questions: 10

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Test: Angular Momentum - Question 1
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A solid sphere rolls down two different inclined planes of the same heights but different angles of inclination. In each case, the ball will reach the bottom _____

Detailed Solution: Question 1

Acceleration of the rolling sphere,
a = gsinθ/((1+k2/R2))
Velocity of the sphere at the bottom of the inclined plane,
v = √(2gh/((1+k2/R2)))
The sphere will reach the bottom with the same speed v because h is the same in both the cases.

Test: Angular Momentum - Question 2
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A child sits stationary at one end of a long trolley moving uniformly with speed v on a smooth horizontal floor. If the child gets up and runs about on the trolley in any manner, then what is the effect of the speed of the centre of mass of the (trolley+child) system?

Detailed Solution: Question 2

The force involved in the given problem is the internal forces of the system. No external force acts on the system when the child runs So, there will be no change in the speed of the centre of mass of the (trolley+child) system.

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Test: Angular Momentum - Question 3
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A hook of radius 2m weighs 100kg. It rolls along a horizontal floor so that its centre if mass has a speed of 20cm/s. How much work has to be done to stop it?

Detailed Solution: Question 3

vcm = 20cm/s = 0.20ms
Work required to stop the hoop = Rotational kinetic energy+Traslational kinetic energy
Work required = 

Test: Angular Momentum - Question 4
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A solid sphere rolls down two different inclined planes of the same heights but different angles of inclination. In each case, the ball will ______

Detailed Solution: Question 4

Acceleration of the rolling sphere,
a = gsinθ/((1+k2/R2))
Velocity of the sphere at the bottom of the inclined plane,
v = √(2gh/((1+k2/R2)))
The sphere will take a longer time to roll down one plane than the other. It will take a larger time in case if the plane with smaller inclination because the acceleration is proportional to sinθ.

Test: Angular Momentum - Question 5
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Two particles A and B, initially at rest, move towards each other under mutual force of attraction. At the instant when the speed of A is v and the speed of B is 2v, what is the speed of mass of the system?

Detailed Solution: Question 5

No external force is acting on the centre of mass. It remains at rest. The speed of centre of mass is zero.

Test: Angular Momentum - Question 6
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Where does the centre of mass of two particles of an equal mass lie?

Detailed Solution: Question 6

The centre of mass of two particles of equal masses lies midway between them. Its position vector is the average of the position vectors of the two particles.

Test: Angular Momentum - Question 7
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Moment of inertia of a circular wire of mass M and radius R about its diameter is _______

Detailed Solution: Question 7

A circular wire behaves like a ring. By perpendicular axes theorem,
ID + ID = 1/2 MR2
Therefore,
1/4 MR2.

Test: Angular Momentum - Question 8
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A smooth sphere A is moving on a frictionless horizontal plane with angular speed ω and the centre of mass velocity u. It collides elastically and head on with an identical sphere B at rest. Neglect friction everywhere. After the collision, their angular speeds are ω(A) and ω(B) respectively. Then?

Detailed Solution: Question 8

Only their linear velocities are exchanged. The two spheres cannot exert torques on each other, as their surfaces are frictionless, and so that angular velocities of the sphere do not change.

Test: Angular Momentum - Question 9
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During rolling, the force of friction acts in the same direction as the direction of motion of the centre of mass of the body.

Detailed Solution: Question 9

When a body rolls, the force if the friction acts in the same direction as the direction of motion of the centre of mass of the body.

Test: Angular Momentum - Question 10
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One solid sphere ‘A’ and another hollow sphere ‘B’ are of same mass and same outer radii. Their moments of inertia about their diameters are respectively IA and IB, such that _____________

Detailed Solution: Question 10

In a hollow sphere, the mass is distributed away from the axis of rotation. So, its moment of inertia is greater than that of a solid sphere.

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About this Civil Engineering (CE) Practice Test

This test contains 10 MCQs on Angular Momentum with detailed solutions for each question. It is part of the Engineering Mechanics course on EduRev, designed to align with the current Civil Engineering (CE) syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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