**Centre of Mass MCQ**. We covered all the Centre of Mass MCQ in this post for free so that you can practice well for the exam.

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**Questions**hide

## MCQ on Centre of Mass for Students

## Which of the following statements about angular momentum is correct?

(a) It is directly proportional to the moment of inertia

(b) It is a scalar quantity

(c) both (a) and (b)

(d) None of these

Option a – It is directly proportional to the moment of inertia

## A disc is given a linear velocity on a rough horizontal surface then its angular momentum is

(a) conserved about COM only

(b) conserved about the point of contact only

(c) conserved about all the points

(d) not conserved at any point.

Option b – conserved about the point of contact only

## A body is projected from the ground with some angle to the horizontal. The angular momentum about the initial position will

(a) decrease

(b) increase

(c) remains the same

(d) first, increase then decrease

Option b – increase

## A gymnast takes turns with her arms & legs stretched. When she pulls her arms & legs in

(a) the angular velocity decreases

(b) the moment of inertia decreases

(c) the angular velocity stays constant

(d) the angular momentum increases

Option b – the moment of inertia decreases

## Angular momentum is

(a) a polar vector

(b) an axial vector

(c) a scalar

(d) None of these

Option b – an axial vector

## A man standing on a rotating table is holding two masses at arm’s length. Without moving his arms, he drops the two masses. His angular speed will

(a) increase

(b) decrease

(c) become zero

(d) remains constant

Option a – increase

## In rotatory motion, linear velocities of all the particles of the body are

(a) the same

(b) different

(c) zero

(d) cannot say

Option b – different

## The rotational analogue of force in linear motion is

(a) weight

(b) angular momentum

(c) moment of inertia

(d) torque

Option d – torque

## A boy comes and sits suddenly on a circular rotating table. What will remain conserved for the table-boy system?

(a) Angular velocity

(b) Angular momentum

(c) Linear momentum

(d) Angular acceleration

Option b – Angular momentum

## According to the principle of conservation of angular momentum, if the moment of inertia of a rotating body decreases, then its angular velocity

(a) decreases

(b) increases

(c) remains constant

(d) becomes zero

Option b – increases

## A cylinder of water is rotating about its own axis with uniform angular velocity co. The shape of the free surface of the water will be

(a) parabola

(b) elliptical

(c) circular

(d) spherical

Option a – parabola

## If the resultant of all external forces is zero, then the velocity of the centre of mass will be

(a) zero

(b) constant

(c) either (a) or (b)

(d) neither (a) nor (b)

Option c – either (a) or (b)

## A stick is thrown in the air and lands on the ground at some distance from the thrower. The centre of mass of the stick will move along a parabolic path

(a) in all cases

(b) only if the stick is uniform

(c) only if the stick has linear motion but no rotational motion

(d) only if the stick has a shape such that its centre of mass is located at some point on it and not outside it

Option a – in all cases

## A ball tied to a string is swung in a vertical circle. Which of the following remains constant?

(a) tension in the string

(b) speed of the ball

(c) centripetal force

(d) earth’s pull on the ball

Option d – earth’s pull on the ball

## Statement 1: When you lean behind over the hind legs of the chair, the chair falls back after a certain angle. Statement 2: Centre of mass lying outside the system makes the system unstable.

(a) Statement -1 is false, Statement 2 is true

(b) Statement -1 is true, Statement-2 is true; Statement -2 is a correct explanation for Statement-1

(c) Statement -1 is true, Statement-2 is true; Statement – 2 is not a correct explanation for Statement-1

(d) Statement -1 is true, Statement 2 is false

Option d – Statement -1 is true, Statement 2 is false

## The Centre of mass of the earth and the moon system lies

(a) closer to the earth

(b) closer to the moon

(c) at the mid-point of the line joining the earth and the moon

(d) cannot be predicted

Option a – closer to the earth

## A shell following a parabolic path explodes somewhere in its flight. The centre of mass of fragments will continue to move in

(a) vertical direction

(b) any direction

(c) horizontal direction

(d) the same parabolic path

Option d – the same parabolic path

## Two particles of mass m and m₂ (m₁ > m₂) attract each other with a force inversely proportional to the square of the distance between them. If the particles are initially held at rest and then released, the centre of mass will

(a) move towards m₁

(b) move towards m₂

(c) remains at rest

(d) None of these

Option c – remains at rest

## In which case application of angular velocity is useful?

(a) when a body is rotating

(b) when the velocity of the body is in a straight line

(c) when the acceleration of a body is in a straight line

(d) none of these

Option a – when a body is rotating

## The centre of mass of a rigid body lies

(a) inside the body

(b) outside the body

(c) neither (a) nor (b)

(d) either (a) or (b)

Option d – either (a) or (b)

## The motion of the centre of mass depends on

(a) total external forces

(b) total internal forces

(c) the sum of (a) and (b)

(d) None of these

Option a – total external forces

## The sum of moments of all the particles in a system about the centre of mass is always

(a) maximum

(b) minimum

(c) infinite

(d) zero

Option d – zero

## The centre of mass of two particles lies on the line

(a) joining the particles

(b) perpendicular to the line joining the particles

(c) at any angle to this line

(d) None of these

Option a – joining the particles

## A system consists of three particles, each of mass m and located at (1, 1), (2, 2) and (3, 3). The coordinates of the centre of mass are

(a) (1,1)

(b) (2,2)

(c) (3,3)

(d) (6,6)

Option b – (2,2)

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