Find the force of attraction on a particle of mass m placed at the centre of a quarter ring of mass mand radius R as shown in figure.

" The force of attraction on a particle of mass "m" placed at the centre of curvature of a semicircular wire of length L and mass "M" is "

For a uniform ring of mass M and radius R at its centre

The escape velocity form the centre of a unifrom ring of mass M and radius R is :

A point particle of mass m is released from a distance sqrt(3)R along the axis of a fixed ring of mass M and radius R as shown in figure. Find the speed of particle as it passes through the centre of the ring.

Find the force of attraction between a solid sphere of mass M and a ring of mass m as shown.

The gravitational force of attraction between a uniform sphere of mass M and a uniform rod of length l and mass in as shown in figure is

A particle of mass m is placed on centre of curvature of a fixed, uniform semi-circular ring of radius R and mass M as shown in figure. Calculate: (a) interaction force between the ring and the particle and (b) work required to displace the particle from centre of curvature to infinity.

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 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