Three uniform spheres of mass M and radius R each are kept in such a way that each touches the other two. The magnitude of the gravitational force on any of the spheres due to the other two is
Force between any two spheres will be :
F = G(M)(M)2R2 = GM4R2
The two forces of equal magnitude F are acting at angle 60∘ on any of the sphere
∴ Fnet = √F2+F2+2(F)(F)cos60∘ = √3F
or Fnet = √34 GM2R2