In the figure shown below, a uniform cylinder of mass M and radius R sits on a fixed plane inclined at an angle ?. A string is tied to the cylinders rightmost point, and it is desired to hang a mass m hangs from the string. The coefficient of friction between the cylinder and the plane is enough to keep the cylinder from sliding or rolling.

a) Draw free body diagrams for the cylinder and small mass m showing all forces acting on them b) Assuming the situation is static (no motion), write down the equations that govern the balance of forces and torques necessary to make the situation static. (c) What is the value of mass m in terms of M and ??