In the arrangement shown in figure the cylinder of mass M is at rest on an incline. The string between the cylinder and the pulley (P) is horizontal. Find the minimum coefficient of friction between the incline and the cylinder which can keep the system in equilibrium. Also find the mass of the block. Assume no friction between the pulley (P) and the string.

Answer

`mu_("min") = (sin theta)/(1 + cos theta); m_("block") = (M sin theta)/(1 + cos theta)`