A smooth sphere of radius R is moving in a straight line with an acceleration a. A particle is released from top of the sphere from rest. Find the speed of the particle when it is at an angular position `theta` from the initial position relative to the sphere.

A smooth sphere of radius R is made to translate in a straight line with a constant acceleration a=g . A particle kept on the top of the sphere is released from there at zero velocity with respect to the sphere. The speed of particle with respect to the sphere as a function of angle theta as it slides down is

A smooth spehre of radius R is made to translate oin a straight line with a constant acceleration a. A particle kept on the top of the sphere is released rom there at zero velocity with respect to the sphere. Find the speed of the particle with respect to the sphere as a functon of the angle theta it slides.

A particle is released from the top of the smooth hemisphere R as shown. the normal contact between the particle and the hemisphere in position theta is

A particle starts moving from rest on a straight line. Its acceleration a verses time t is shown in the figure. The speed of the particle is maximum at the instant

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 starts moving from rest in a from rest in a straight line. Its acceleration vs time (a - t) graph is shown in figure. The speed of particle is maximum at.

A particle of mass m is kept on a fixed , smooth sphere of radius R at a position, where the rdius thrugh the particle makes an angle of 30^0 with the vertical. The particle is releases from this positon. a. What is the force exerted by the sphere on teh particle just after the release? b. Find the distance travelled by the particle before it leaves contact with the sphere.

A particle slides on the surface of a fixed smooth sphere starting from the topmost pont. Find the angle rotated by the radius through the particle, when it leaves contact with the sphere.

A solid sphere rolls down a smooth inclined plane of height h. If it stats from rest then the speed of the sphere when it reaches the bottom is given by

The figure shows the v - t graph of a particle moving in a straight line. Starting from rest, the time after which the particle returns to its starting position is