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 is released from the top of a smooth hemisphere.find the angle rotated by the radius through the particle, when it loses contract with the hemisphere. Also sketch variation of normal contact force with cos theta , where theta is an angle rotated by the radius through the particle.

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 is placed at rest inside a hollow hemisphere of radius R . The coefficient of friction between the particle and the hemisphere is mu = (1)/sqrt(3) . The maximum height up to which the particle can remain stationary is

A particle of mass m is placed in equlibrium at the top of a fixed rough hemisphere of radius R. Now the particle leaves the contact with the surface of the hemisphere at angular position theta with the vertical wheere cos theta""(3)/(5). if the work done against frictiion is (2mgR)/(10x), find x.

A particle of mass m is placed in equilibrium at the top of a fixed rough hemisphere of radius R. Now the particle leaves the contact with the surface of the hemisphere at angular position theta with the vertical where cos theta"="(3)/(5). if the work done against friction is (2mgR)/(10x), find x.