A circular plate of uniform thickness has a diameter of 56 cm . A circular portion of diameter 42 cm is removed from one edge of the plate as shown in the figure below. The position of centre of mass of the remaining portion is

9 cm to the left of the centre of plate.

7 cm to the left of the centre of plate.

8 cm to the left of the centre of plate.

10 cm to the left of the centre of plate.

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IMPORTANT

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A two particle system having masses, $M_{1}$ and $M_{2}$ are placed in a gravity-free space.If the first particle is shifted towards the centre of mass of the system by a distance $d$ , by how much distance should the second particle be shifted so that the centre of mass remains at its initial position?

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Important Questions on Rotational Motion

EASY

JEE Main

IMPORTANT

Physics Crash Course JEE Main>Chapter 5 - Rotational Motion>Level 1>Q 10

Two blocks of masses

10 kg

and

4 kg

are connected by a spring of negligible mass and are placed on a frictionless horizontal surface. An impulse gives a speed of

14 m s^{- 1}

to the heavier block in the direction of the lighter block. Then, the velocity of the centre of mass is

EASY

JEE Main

IMPORTANT

Physics Crash Course JEE Main>Chapter 5 - Rotational Motion>Level 1>Q 11

A rigid body is rotating with angular velocity

ω

about an axis of rotation. Let

v

be the linear velocity of particle which is at perpendicular distance

r

from the axis of rotation. Then the relation

v = ω r

implies that

EASY

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IMPORTANT

Physics Crash Course JEE Main>Chapter 5 - Rotational Motion>Level 1>Q 12

The moment of inertia of a body about a given axis is

1.2 kg m^{2}

. Initially, the body is at rest. In order to produce rotational kinetic energy of

1500 J

, the angular acceleration of

25 rad s^{- 2}

must be applied about the axis for a duration of

EASY

JEE Main

IMPORTANT

Physics Crash Course JEE Main>Chapter 5 - Rotational Motion>Level 1>Q 13

A body whose moment of inertia is

3 kg m^{2}

is at rest. It is rotated for

20 s

by a torque of

6 N m

, angular displacement of the body will be

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IMPORTANT

Physics Crash Course JEE Main>Chapter 5 - Rotational Motion>Level 1>Q 14

A particle is moving uniformly along a straight line as shown in the figure. During the motion of the particle from $A$ to $B$ , the angular momentum of the particle about ${}^{'}O^{'}$

Question Image

EASY

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IMPORTANT

Physics Crash Course JEE Main>Chapter 5 - Rotational Motion>Level 1>Q 15

Two bodies have their moments of inertia

I

and

2 I

, respectively, about their axis of rotation. If their kinetic energies of rotation are equal, their angular momenta will be in the ratio,

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Physics Crash Course JEE Main>Chapter 5 - Rotational Motion>Level 1>Q 16

A solid sphere and a thin spherical shell of the same radius rotate about their diameters with same angular momentum but with different angular velocities. If

M_{1}

and

M_{2}

are the masses of a solid sphere and a hollow sphere and if their angular velocities are in the ratio

1 : 2

, then

(\frac{M_{1}}{M_{2}})

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Physics Crash Course JEE Main>Chapter 5 - Rotational Motion>Level 1>Q 18

When the mass is rotated in a plane about a fixed point its angular momentum is directed along the

A two particle system having masses, M1 and M2 are placed in a gravity-free space. If the first particle is shifted towards the centre of mass of the system by a distance d, by how much distance should the second particle be shifted so that the centre of mass remains at its initial position?

Important Questions on Rotational Motion

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