A sphere of radius R is supported by a rope attached to the wall. The rope makes an angle `theta = 45^(@)` with respect to the wall. The point where the rope is attached to the wall is at a distance of `(3R)/(2)` from the point where the sphere touches the wall. Find the minimum coefficient of friction `(mu)` between the wall and the sphere for this equilibrium to be possible.

Answer

`mu_("min") = (1)/(2)`