" 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 "

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.

Find the centre of mass of a uniform semicircular ring of radius R and mass M .

The potential energy of interaction between the semi-circular ring of mass M and radius R, and the particle of mass M placed at the centre of curvature of the semi-circular arc is:

Find the coordination of the centre of mass of a uniform semicircular wire of radius R and mass M.

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.

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

A thin rod of mass M and length L is bent in a semicircle as shown in figure (a). What is its gravitational force (both magnitude and direction) on a particle with mass m at O the centre of curvature ? (b) what would be the force on m if the rod is in the form of complete circle?

A small point mass m is placed at the centre of curvature of acircular are of radius R and mass 3 m as shown in figure -6.31. Find the net gravitational force acting on the point mass.

Four particles each of mass m are placed at the vertices of a square of side l. the potential at the centre of square is

find the gravitational force of attraction between a uniform sphere of mass M and a uniform rod of length L and mass m, placed such that r is the distance between the centre of the sphere and the near end of the road.