Four point masses each of mass m are placed on vertices of a regular tetrahedron. Distance between any two masses is `r`.

Four point masses easch of mass 'm' are placed at four vertieces A, B, C, nd D of a regular hexagon of side 'a' as shown in figure , Find gravitational potential and field strength at the centre O of the hexagon. .

Four point masses easch of mass 'm' are placed at four vertieces A, B, C, nd D of a regular hexagon of side 'a' as shown in figure , Find gravitational potential and field strength at the centre O of the hexagon. .

(n-1) equal point masses each of mass m are placed at the vertices of a regular n-polygon. The vacant vertex has a position vector a with respect to the centre of the polygon. Find the position vector of centre of mass.

(n-1) equal point masses each of mass m are placed at the vertices of a regular n-polygon. The vacant vertex has a position vector veca with respect to the center of the polygon. Find the position vector of centre of mass.

Six point masses of mass m each are at the vertices of a regular hexagon of side l. Calculate the force on any of the masses.

Six point masses of mass m each are at the vertices of a regular hexagon of side l. Calculate the force on any of the masses.

Five point masses m each are kept at five vertices of a regular pentagon. Distance of center of pentagon from any one of the vertice is 'a'. Find gravitational potential and filed strength at center.

Five point masses m each are kept at five vertices of a regular pentagon. Distance of centre of pentagon from any one of the verticle is 'a'. Find gravitational potential and filed strength at centre.