An uniform hollow hemisphere of mass m and radius r is released from rest on a smooth horizontal surface with its open face vertical initially. Maximum normal reaction between hemisphere and ground during motion is -

A block of mass m is placed at rest on a smooth wedge of mass M placed at rest on a smooth horizontal surface. As the system is released

A uniform cylinder of mass M and radius R is released from rest on a rough inclined surface of inclination theta with the horizontal as shown in figure. As the cylinder rolls down the inclined surface, the maximum elongation it the spring stiffness k is

A tiny ball of mass m is released from the state of rest over a large smooth sphere of mass M and radius R , which is at rest on a smooth horizontal surface. If the ball strikes the sphere perfectly inelastically, find their velocities after collision.

A hollow cylinder of mass m and radius r is kept on a smooth horizontal surface. Horizontal force F is applied at a height above the centre. Find the value of h/R so that ring performs pure rolling on the surface.

A block of mass as shown is released from rest from top of a fixed smooth hemisphere. Find angle made by this particle with vertical at the instant when it looses contact with hemisphere.

A small sphere of radius r = 2cm and mass ‘m’ is placed on a big sphere of mass 2m and radius R = 10 cm, which is kept on a smooth horizontal surface as shown in figure. The displacement (in cm) of hemisphere when line joining between centre of small sphere and hemisphere make angle 30^(@) with vertical is (Assuming that small spheres does not break-off the surface of hemisphere) -

A sphere of mass m and rdius r is released from rest at point A on a track in vertical plane. The track is rough enough to support rolling between A and B and from B onwards it is smooth. The maximum height attained by sphere from ground on its journey from B onwards is

A small solid sphere of mass m and radius r starting from rest from the rim of a fixed hemispherical bowl of radius R(gt gtr) rolls inside it without sliding. The normal reaction exerted by the sphere on the hemisphere when it reaches the bottom of hemisphere is