Find potential at a point 'P' at a distance 'x' on the axis away from centre of a uniform ring of mass `M` and radius `R` .

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

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

Calculate gravitational field intensity at a distance x on the axis from centre of a uniform disc of mass M and radius R .

Find the intensity of gravitational field at a point lying at a distance x from the centre on the axis of a ring of radius a and mass M .

Find the intensity of gravitational field at a point lying at a distance x from the centre on the axis of a ring of radius a and mass M .

Compound pendulum are made of : (a) A rod of length l suspended through a point located at distance l // 4 from centre of rod. (b) A ring of mass m and radius r suspended through a point on its periphery. (c) A uniform square plate of edge a suspended through a corner. (d) A uniform disc of mass m and radius r suspeneded through a point r//2 away from the centre. Find the time period in each case.

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.

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.

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.