A small particle is placed at the top point A of a fixed smooth hemisphere of radius R. Particle is given small displacement towards right and it starts slipping. Calculate velocity of the particle after hitting horizontal perfectly inelastic surface.

A small ball is placed at the top of a smooth hemispherical wedge of radius R. If the wedge is accelerated with an acceleration a, find the velocity of the ball relative to wedge as a function of theta .

A small ball is placed at the top of a smooth hemispherical wedge of radius R. If the wedge is accelerated with an acceleration a, find the velocity of the ball relative to wedge as a function of theta .

A particle at angular position theta_(0) inside a fixed smooth hemispherical bowl of radius r is projected horizontally with velocity v_(0) . Calculate its value so that the particle may rise to the top.

A particle of mass m is released from the top of a smooth hemisphere of radius R with the horizontal speed mu . Calculate the angle with verticle where it loses contact with the hemisphere.

A particle of mass m is kept on the top of a smooth sphere of radius R. It is given a sharp impulse which imparts it a horizontal speed v. a. find the normal force between the sphere and the particle just after the impulse. B. What should be the minimum value of v for which the particle does not slip on the sphere? c. Assuming the velocity v to be half the minimum calculated in part, d. find the angle made by the radius through the particle with the vertical when it leaves the sphere.

A small particle rest on the top of a hemisphere of radius 20 cm .The smallest horizontal velocity os given to it , if it is to leave the hemisphere without sliding down to its surface ,is

A small particle rests on the top of a hemisphere of radius 20 cm. The smallest horizontal velocity given to it, if it is to leave the hemisphere without sliding down along its surface, is