A body of mass M (figure) with a small disc of mass m placed on it rests on a smooth horizontal plane. The disc is set in motion in the horizontal direction with velocity v. To what height (relative to the initial level) will the disc rise after breaking off the body M? The friction is assumed to be absent.

A body of mass M with a small block m placed on it rests on a smooth horizontal surface. The block is set in motion in the horizontal direction with a velocity v . To what height relative to the initial level will the block rise after breaking off from the body M . Friction can be assumed to be absent.

A body of mass M with a small box of mass m placed on it rests on a smooth horizontal surface. The box is set in motion in the horizontal direction with a velocity u as shown in figure. To what height relative to the initial level will the box rise after breaking off from the body M? Assume all surfaces are frictionless.

A small disc and a thin uniform rod of length l, whose mass is eta times greater than the mass of the disc, lie on a smooth horizontal plane. The disc is set in motion, in horiozontal direction and perpendicular to the rod, with velocity v, after which it elastically collides with the end of the rod. Find the velocity of the disc and the angular velocity of the rod after the collision. At what value of eta will the velocity of the disc after the collision be equal to zero? reverse its direction?

At the moment t=0 the force F=at is applied to a small body of mass m resting on a smooth horizontal plane (a is constant). The permanent direction of this force forms an angle alpha with the horizontal (figure). Find: (a) the velocity of the body at the moment of its breaking off the plane, (b) the distance traversed by the body up to this moment.

A point mass m collides with a disc of mass m and radius R resting on a rough horizontal surface as shown . Its collision is perfectly elastic. Find angular velocity of the disc after pure rolling starts

A disc of mass M and radius R rolls on a horizontal surface and then rolls up an inclined plane as shown in the figure. If the velocity of the disc is v, the height to which the disc will rise will be :-

A disc of mass M and radius R rolls on a horizontal surface and then rolls up an inclined plane as shown in the figure. If the velocity of the disc is v, the height to which the disc will rise will be: