A sphere of radius R is supported by a rope attached to the wall. The rope makes an angletheta = 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 thewall. Find the minimum coefficient of friction (mu)between the wall and the sphere for this equilibrium to be possible.

A sphere of radius R is supported by a rope attached to the wall. The

1.	A sphere of radius R is supported by a rope attached to the wall. The rope makes an angletheta = 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 thewall. Find the minimum coefficient of friction (mu)between the wall and the sphere for this equilibrium to be possible.
Answer» ANSWER :`mu_("MIN") = (1)/(2)`