HARD
11th West Bengal Board
IMPORTANT
Earn 100

A small sphere of radius is held against the inner surface of a larger sphere of radius The 
masses of large and small spheres are and respectively. The arrangement is placed on a horizontal table. There is no friction between any surfaces of contact. The small spheres is now released. Find the coordinates of the centre of the larger sphere when the smaller sphere reaches the other extreme position.


Important Questions on Motion of System of Particles and Rigid Body
HARD
11th West Bengal Board
IMPORTANT
A bowling ball of mass and radius is thrown so that the instant it touches the floor it is moving with a velocity horizontally and is not rotating. The coefficient of friction between the ball and the floor is . Find the time the ball slides.

HARD
11th West Bengal Board
IMPORTANT
A bowling ball of mass and radius is thrown so that the instant it touches the floor it is moving with a velocity horizontally and is not rotating. The coefficient of friction between the ball and the floor is . Find the distance the ball slides before it rolls without slipping.

HARD
11th West Bengal Board
IMPORTANT
A bowling ball of mass and radius is thrown so that the instant it touches the floor it is moving with a velocity horizontally and is not rotating. The coefficient of friction between the ball and the floor is . Find the velocity at which it begins to roll.

HARD
11th West Bengal Board
IMPORTANT
A horizontal disc rotating freely about a vertical axis makes . A small price of wax of mass falls vertically on the disc and adheres to it at a distance of from the axis. If the number of revolutions per minute is thereby reduced to , Calculate the moment of inertia of the disc.

HARD
11th West Bengal Board
IMPORTANT
Show that the energy of a rolling body which is not slipping is equivalent to that of pure rotation with the same angular speed about an axis through the point of contact of the rolling body.

HARD
11th West Bengal Board
IMPORTANT
A ball is thrown onto a floor in such a way that it initially slides with a speed without rolling. It gradually picks up rotational motion. Prove that it will roll without sliding when its speed reduces to .

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 the angular momentum.

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 angular velocity.
