Match List I with List II. List I List II (A) Torque (I) N m s - 1 (B) Stress (II) J kg - 1 (C) Latent Heat (III) N m (D) Power (IV) N m - 2 Choose the correct answer from the options given below:

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

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

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

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

EASY

JEE Main

IMPORTANT

Earn 100

The radius of gyration of a cylindrical rod about an axis of rotation perpendicular to its length and passing through the center will be _____ $m .$ Given, the length of the rod is $10 \sqrt{3} m$ .

80% studentsanswered this correctly

Important Questions on Rotational Motion

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 5 - Rotational Motion>JEE Main - 27 July 2022 Shift 1>Q 148

Two cylindrical vessels of equal cross-sectional area

16 {cm}^{2}

contain water upto heights

100 cm

and

150 cm

respectively. The vessels are interconnected so that the water levels in them become equal. The work done by the force of gravity during the process, is [Take density of water

= 10^{3} kg m^{- 3}

and

g = 10 {ms}^{- 2}

]

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 5 - Rotational Motion>JEE Main - 27 July 2022 Shift 1>Q 149

A pulley of radius

1.5 m

is rotated about its axis by a force

F = (12 t - 3 t^{2}) N

applied tangentially (while

t

is measured in seconds). If moment of inertia of the pulley about its axis of rotation is

4.5 kg m^{2}

, the number of rotations made by the pulley before its direction of motion is reversed, will be

\frac{K}{π}

. The value of

K

is _____ .

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 5 - Rotational Motion>JEE Main - 27 July 2022 Shift 2>Q 150

A solid cylinder length is suspended symmetrically through two massless strings, as shown in the figure. The distance from the initial rest position, the cylinder should be unbinding the strings to achieve a speed of $4 m s^{- 1}$ , is _____ $cm$ .

(take $g = 10 m s^{- 2}$ )

Question Image

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 5 - Rotational Motion>JEE Main - 28 July 2022 Shift 1>Q 151

Four identical discs each of mass ' $M$ ' and diameter ' $a$ ' are arranged in a small plane as shown in figure. If the moment of inertia of the system about $O O^{'}$ is $\frac{x}{4} M a^{2}$ . Then, the value of $x$ will be _____ .

Question Image

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 5 - Rotational Motion>JEE Main - 28 July 2022 Shift 2>Q 152

The distance of centre of mass from end

A

of a one dimensional rod

(A B)

having mass density

ρ = ρ_{0} (1 - \frac{x^{2}}{L^{2}}) kg m^{- 1}

and length

L

(in meter) is

\frac{3 L}{α} m

. The value of

α

is _____ (where

x

is the distance form end

A

)

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 5 - Rotational Motion>JEE Main - 29 July 2022 Shift 1>Q 153

Two bodies of mass

1 kg

and

3 kg

have position vectors

\hat{i} + 2 \hat{j} + \hat{k}

and

- 3 \hat{i} - 2 \hat{j} + \hat{k}

respectively. The magnitude of position vector of centre of mass of this system will be similar to the magnitude of vector :

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 5 - Rotational Motion>JEE Main - 29 July 2022 Shift 2>Q 154

Match List I with List II.

	List I		List II
(A)	Torque	(I)	$N m s^{- 1}$
(B)	Stress	(II)	$J {kg}^{- 1}$
(C)	Latent Heat	(III)	$N m$
(D)	Power	(IV)	$N m^{- 2}$

Choose the correct answer from the options given below:

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 5 - Rotational Motion>JEE Main - 29 July 2022 Shift 2>Q 155

The torque of a force

5 \hat{i} + 3 \hat{j} - 7 \hat{k}

about the origin is

τ

. If the force acts on a particle whose position vector is

2 \hat{i} + 2 \hat{j} + \hat{k}

, then the value of

τ

will be

The radius of gyration of a cylindrical rod about an axis of rotation perpendicular to its length and passing through the center will be _____ m. Given, the length of the rod is 103 m.

Important Questions on Rotational Motion

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The radius of gyration of a cylindrical rod about an axis of rotation perpendicular to its length and passing through the center will be _____ $m .$ Given, the length of the rod is $10 \sqrt{3} m$ .