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.

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 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.

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.

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

Mass M is distributed uniformly along a line of length 2L . A particle of mass m is at a point that is at a distance a above the centre of the line on the its perpendicular bisector (Point P in figure). The gravitational force that the line exert on the particle 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 ,

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 ,

A uniform ring of mass m and radius 3a is kept above a sphere of mass M and radius 3a at a distance of 4a (as shown in figure) such that line joining the centres of ring and sphere is perpendicular to the plane of the ring. Find the force of gravitational attraction between the ring and the sphere.