HARD
11th West Bengal Board
IMPORTANT
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A thin uniform rod of mass m and length l is free to rotate about its upper end. When it is at rest, it receives an impulse J 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 m and length l is free to rotate about its upper end. When it is at rest, it receives an impulse J at its lowest point perpendicular to its length. Calculate kinetic energy.
HARD
11th West Bengal Board
IMPORTANT
A thin uniform rod of mass m and length l is free to rotate about its upper end. When it is at rest, it receives an impulse J 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 0.2 kg.m2 and radius 0.15 m is mounted on a horizontal cylindrical axle of radius 0.015 m and negligible mass. Calculate the angular velocity acquired from rest by the application for 12 seconds of force of 20 N tangential to the axle.
HARD
11th West Bengal Board
IMPORTANT
A uniform circular disc of the moment of inertia 0.2 kg.m2 and radius 0.15 m is mounted on a horizontal cylindrical axle of radius 0.015 m and negligible mass. Calculate the kinetic energy acquired from rest by the application for 12 seconds of a force of 20 N tangential to the axle.
HARD
11th West Bengal Board
IMPORTANT
A uniform circular disc of moment of inertia 0.2 kg.m2 and radius 0.15 m is mounted on a horizontal cylindrical axle of radius 0.015 m and negligible mass. Calculate the time required to bring the disc to rest if a constant braking force of 1 N were applied tangentially to its rim. Neglect frictional loss.
HARD
11th West Bengal Board
IMPORTANT
A cord 3 m long is coiled around the axle of a wheel. The cord is pulled with a constant force of 40 N. When the cord leaves the axle, the wheel is rotating at 2 rev/s. 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 R and the impulse given is purely horizontal.
HARD
11th West Bengal Board
IMPORTANT
A bullet of mass 10 g and speed 500 m/s is fired into a door and gets embedded exactly. at centre of the door. The door is 1.0 m wide and weighs 12 kg. 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.