A particle of mass `m` is placed at a distance `x` from the centre of ring along the line through the centre of the ring and perpendicular to its plane.

The force, when `x=0` :

A particle of mass m is placed at a distance x from the centre of ring along the line through the centre of the ring and perpendicular to its plane. if xlt lta , the particle of mass m will:

A particle of mass m is placed at a distance x from the centre of ring along the line through the centre of the ring and perpendicular to its plane. Gravitational potential energy of this system.

Calculate the moment of inertia of a ring about an axis passing through centre of the ring and perpendicular to the plane of the ring.

A particle of mass m is placed at a distance R from centre of a uniformly dense thin ring of mass m rand radius R on a axis passing through its centre and perpendicular to its plane. Find the speed of the particle when it reaches at the centre fo the ring due to their mutual gravitation force.

A particle of mass m is placed at a distance R from centre of a uniformly dense thin ring of mass m rand radius R on a axis passing through its centre and perpendicular to its plane. Find the speed of the particle when it reaches at the centre fo the ring due to their mutual gravitation force.

What is the radius of gyration of the ring about an axis passing through its centre mass and perpendicular to its plane?

(a) A tunnel is dug along a diameter of the earth. Find the force on the a particle of mass m placed in the tunnel at a distance x from the centre. (b) A tunnel is dug along a chord of the earth at a perpendicular distance R//2 from the earth's centre. the wall of the tunnel may be assumed to be frictionless. Find the force exerted by the wall on a particle of mass m when it is at a distance x from the centre of the tunnel.

From a complete ring of mass M and radius R , a 30^@ sector is removed. The moment of inertia of the incomplete ring about an axis passing through the centre of the ring and perpendicular to the plane of the ring is ,

From a complete ring of mass M and radius R , a 30^@ sector is removed. The moment of inertia of the incomplete ring about an axis passing through the centre of the ring and perpendicular to the plane of the ring is ,