EASY

JEE Advanced

IMPORTANT

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A cylinder executes pure rolling without slipping with a constant velocity on a plank, whose upper surface is rough enough, but lower surface is smooth. The plank is kept at rest on a smooth horizontal surface by the application of an external force $F$ . Choose the correct alternative.

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Important Questions on Rigid Body Dynamics: Part 2

MEDIUM

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 4 - Rigid Body Dynamics: Part 2>Exercises>Q 70

A horizontal turn table in the form of a disc of radius r carries a gun at G and rotates with angular velocity

ω_{0}

about a vertical axis passing through the centre O. The increase in angular velocity of the system if the gun fire a bullet of mass m with a tangential velocity v with respect to the gun is
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(moment of inertia of gun + table about O is I₀)

EASY

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 4 - Rigid Body Dynamics: Part 2>Exercises>Q 71

A circular platform is mounted on a vertical frictionless axle. Its radius is

r = 2 m

and its moment of inertia is

I = 200 k g m^{2}

. It is initially at rest. A

70 k g

man stands on the edge of the platform and begins to walk along the edge at speed

v_{0} = 10 m s^{- 1}

relative to the ground. The angular velocity of the platform is

EASY

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 4 - Rigid Body Dynamics: Part 2>Exercises>Q 72

In the above problem, when the man has walked once around the platform so that he is at his original position on it, what is his angular displacement relative to ground

MEDIUM

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 4 - Rigid Body Dynamics: Part 2>Exercises>Q 73

A uniform rod

A B

of mass

m

and length

2 a

is falling freely without rotation under gravity with

A B

horizontal. Suddenly the end

A

is fixed when the speed of the rod is v. The angular speed with which the rod begins to rotate is

HARD

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 4 - Rigid Body Dynamics: Part 2>Exercises>Q 74

A ball of radius

r

rolls inside a hemispherical shell of radius

R

. It is released from rest from point

A

as shown in figure. The angular velocity of centre of the ball in position

B

about the centre of the shell is

Question Image

EASY

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 4 - Rigid Body Dynamics: Part 2>Exercises>Q 75

In the previous problem the normal force between the ball and the shell in position

B

HARD

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 4 - Rigid Body Dynamics: Part 2>Exercises>Q 76

A spool of mass

M

and radius

2 R

lies on an inclined plane as shown in figure. A light thread is wound around the connecting tube of the spool and its free end carries a weight of mass

m

. The value of

m

so that system is in equilibrium is
Question Image

HARD

JEE Advanced

IMPORTANT

Physics For Joint Entrance Examination JEE (Advanced): Mechanics II>Chapter 4 - Rigid Body Dynamics: Part 2>Exercises>Q 77

A plank $P$ is placed on a solid cylinder $S$ , which rolls on a horizontal surface. The two are of equal mass. There is no slipping at any of the surfaces in contact. The ratio of the kinetic energy of $P$ to the kinetic energy of $S$ is

Question Image

A cylinder executes pure rolling without slipping with a constant velocity on a plank, whose upper surface is rough enough, but lower surface is smooth. The plank is kept at rest on a smooth horizontal surface by the application of an external force F. Choose the correct alternative.

Important Questions on Rigid Body Dynamics: Part 2

Learn and Prepare for any exam you want !

A cylinder executes pure rolling without slipping with a constant velocity on a plank, whose upper surface is rough enough, but lower surface is smooth. The plank is kept at rest on a smooth horizontal surface by the application of an external force $F$ . Choose the correct alternative.