HARD
11th West Bengal Board
IMPORTANT
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A thin uniform rod of mass and length is free to rotate about its upper end. When it is at rest, it receives an impulse at its lowest point perpendicular to its length. Calculate angular velocity.

Important Questions on Motion of System of Particles and Rigid Body
HARD
11th West Bengal Board
IMPORTANT
A thin uniform rod of mass and length is free to rotate about its upper end. When it is at rest, it receives an impulse at its lowest point perpendicular to its length. Calculate kinetic energy.

HARD
11th West Bengal Board
IMPORTANT
A thin uniform rod of mass and length is free to rotate about its upper end. When it is at rest, it receives an impulse at its lowest point perpendicular to its length. Calculate linear velocity of the mid point of the rod, immediately after the impact.

HARD
11th West Bengal Board
IMPORTANT
A uniform circular disc of moment of inertia and radius is mounted on a horizontal cylindrical axle of radius and negligible mass. Calculate the angular velocity acquired from rest by the application for seconds of force of tangential to the axle.

HARD
11th West Bengal Board
IMPORTANT
A uniform circular disc of the moment of inertia and radius is mounted on a horizontal cylindrical axle of radius and negligible mass. Calculate the kinetic energy acquired from rest by the application for seconds of a force of tangential to the axle.

HARD
11th West Bengal Board
IMPORTANT
A uniform circular disc of moment of inertia and radius is mounted on a horizontal cylindrical axle of radius and negligible mass. Calculate the time required to bring the disc to rest if a constant braking force of were applied tangentially to its rim. Neglect frictional loss.

HARD
11th West Bengal Board
IMPORTANT
A cord long is coiled around the axle of a wheel. The cord is pulled with a constant force of . When the cord leaves the axle, the wheel is rotating at . Determine the moment of inertia of the wheel. Neglect friction.

HARD
11th West Bengal Board
IMPORTANT
How far above its centre should a billiard ball be struck in order to make it roll without any initial slipping. Radius of ball is and the impulse given is purely horizontal.

HARD
11th West Bengal Board
IMPORTANT
A bullet of mass and speed is fired into a door and gets embedded exactly. at centre of the door. The door is wide and weighs . It is hinged at one end and rotates about a vertical axis practically without friction. Find the angular speed of the door just after the impact.
