Match List-I with List-II List-I List-II (A) Moment of inertia of solid sphere of radius R about any tangent. (I) 5 3 MR 2 (B) Moment of inertia of hollow sphere of radius R about any tangent. (II) 7 5 MR 2 (C) Moment of inertia of circular ring of radius R about its diameter. (III) 1 4 MR 2 (D) Moment of inertia of circular disc of radius R about any diameter. (IV) 1 2 MR 2

A - II , B - I , C - IV , D - III

A - I , B - II , C - IV , D - III

A - II , B - I , C - III , D - IV

A - I , B - II , C - III , D - IV

HARD

JEE Main

IMPORTANT

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A hoop of radius $r$ and mass $m$ rotating with an angular velocity $ω_{0}$ is placed on a rough horizontal surface. The initial velocity of the centre of the hoop is zero. What will be the velocity of the centre of the hoop when it ceases to slip?

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Important Questions on Rotational Motion

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 5 - Rotational Motion>JEE Main - 24 June 2022 Shift 1>Q 131

A metre scale is balanced on a knife edge at its centre. When two coins, each of mass

10 g

are put one on the top of the other at the

10.0 cm

mark the scale is found to be balanced at

40.0 cm

mark. The mass of the metre scale is found to be

x \times 10^{- 2} kg

. The value of

x

is _____ .

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 5 - Rotational Motion>JEE Main - 25 June 2022 Shift 2>Q 132

Moment of Inertia (M.I.) of four bodies having same mass

M

and radius

2 R

are as follows

I_{1} =

M.I. of solid sphere about its diameter

I_{2} =

M.I. of solid cylinder about its axis

I_{3} =

M.I. of solid circular disc about its diameter

I_{4} =

M.I. of thin circular ring about its diameter
If

2 (I_{2} + I_{3}) + I_{4} = x I_{1}

then the value of

x

will be _____ .

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 5 - Rotational Motion>JEE Main - 26 June 2022 Shift 2>Q 133

A solid spherical ball is rolling on a frictionless horizontal plane surface about its axis of symmetry. The ratio of rotational kinetic energy of the ball to its total kinetic energy is

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 5 - Rotational Motion>JEE Main - 26 June 2022 Shift 1>Q 134

A thin circular ring of mass

M

and radius

R

is rotating with a constant angular velocity

2 rad s^{- 1}

in a horizontal plane about an axis vertical to its plane and passing through the center of the ring. If two objects each of mass

m

be attached gently to the opposite ends of a diameter of ring, the ring will then rotate with an angular velocity (in

rad s^{- 1}

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 5 - Rotational Motion>JEE Main - 27 June 2022 Shift 1>Q 135

Two blocks of masses

10 kg

and

30 kg

are placed on the same straight line with coordinates

(0, 0) cm

and

(x, 0) cm

respectively. The block of

10 kg

is moved on the same line through a distance of

6 cm

towards the other block. The distance through which the block of

30 kg

must be moved to keep the position of centre of mass of the system unchanged is

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 5 - Rotational Motion>JEE Main - 27 June 2022 Shift 2>Q 136

A rolling wheel of $12 kg$ is on an inclined plane at position $P$ and connected to a mass of $3 kg$ through a string of fixed length and pulley as shown in figure.
Consider $P R$ as friction free surface.
The velocity of centre of mass of the wheel when it reaches at the bottom $Q$ of the inclined plane $P Q$ will be $\frac{1}{2} \sqrt{x g h} m s^{- 1}$ . The value of $x$ (rounded off to the nearest integer) is _____.

Question Image

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 5 - Rotational Motion>JEE Main - 28 June 2022 Shift 1>Q 137

Match List-I with List-II

	List-I		List-II
(A)	Moment of inertia of solid sphere of radius $R$ about any tangent.	(I)	$\frac{5}{3} {MR}^{2}$
(B)	Moment of inertia of hollow sphere of radius $R$ about any tangent.	(II)	$\frac{7}{5} {MR}^{2}$
(C)	Moment of inertia of circular ring of radius $R$ about its diameter.	(III)	$\frac{1}{4} {MR}^{2}$
(D)	Moment of inertia of circular disc of radius $R$ about any diameter.	(IV)	$\frac{1}{2} {MR}^{2}$

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 5 - Rotational Motion>JEE Main - 28 June 2022 Shift 1>Q 138

The position vector of

1 kg

object is

\vec{r} = (3 \hat{i} - \hat{j}) m

and its velocity

\vec{v} = (3 \hat{j} + \hat{k}) m s^{- 1}

. The magnitude of its angular momentum is

\sqrt{x} N m s

, where

x

A hoop of radius r and mass m rotating with an angular velocity ω0 is placed on a rough horizontal surface. The initial velocity of the centre of the hoop is zero. What will be the velocity of the centre of the hoop when it ceases to slip?

Important Questions on Rotational Motion

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A hoop of radius $r$ and mass $m$ rotating with an angular velocity $ω_{0}$ is placed on a rough horizontal surface. The initial velocity of the centre of the hoop is zero. What will be the velocity of the centre of the hoop when it ceases to slip?