A large sphere of radius R=1m fixed from ground as shown in figure A particle of mass m is released from top point of sphere Height from the ground where particle m will leave contact with surface of sphere is `(XR)/(3)` Find the value of x (Assume all surfaces are frictionless.) Fixed

A particle of mass m starts to slide down from the top of the fixed smooth sphere. What is the tangential acceleration when it break off the sphere ?

a solid sphere of mass m and radius r is placed inside a hollow thin spherical shell of mass M and radius R as shown in figure. A particle of mass m is placed on the line joining the two centers as a distance x from the point of contact of the sphere and the shell. Find the magnitude of the resultant gravitational force on this particle due to the sphere and the shell if a). rltxlt2r, b). 2rltxlt2R and c). xgt2R .

A solid sphere of mass m and radius r is placed inside a hollow thin spherical shell of mass M and radius R as shown in the figure. A particle of mass m' is placed on the line joining the two centres at a distance x from the point of contact of the sphere and the shell. Find the magnitude of the resultant gravitational force on this particle due to the sphere and the shell if rltxlt2r

A solid sphere of mass m and radius r is placed inside a hollow thin spherical shell of mass M and radius R as shown in the figure. A particle of mass m' is placed on the line joining the two centres at a distance x from the point of contact of the sphere and the shell. Find the magnitude of the resultant gravitational force on this particle due to the sphere and the shell if xgt2R

A fixed spherical shell of inner radius R and outer radius 2R has mass M, A particle of mass m is held at rest at a distance 2R from the surface of the body. If the particle is released from that point, with what speed will it hit surface of the spherical body ?

A solid sphere of mass M and radius R is pulled by a force F as shown in figure . If the sphere does not slip over the surface , then frictional force acting on the sphere is

A solid sphere of mass M and radius R is surrounded by a spherical shell of same mass M and radius 2R as shown. A small particle of mass m is released from rest from a height h(ltltR) above the shell. There is a hole in the shell. What time will it take to move from A to B?

Inside a fixed sphere of radius R and uniform density rho , there is spherical cavity of radius (R )/(2) such that surface of the cavity passes through the centre of the sphere as shows in figure. A particle of mass m_(0) is released from rest at centre B of the cavity. Caculate velocity with which particle strikes the centre A of the sphere. Neglect earth's gravity. Initially sphere and particle are at rest.

A solid sphere of mass M and radius R is surrounded by a spherical shell of same mass M and radius 2R as shown. A small particle of mass m is released from rest from a height h(ltltR) above the shell. There is a hole in the shell. What speed will it collide at B?

Three solid sphere of mass M and radius R are placed in contact as shown in figure. Find the potential energy of the system ?