A solid cylinder of mass M is placed on the top of an inclined plane of height H and inclination angle θ.It starts rolling down without slipping from rest. The coefficient of friction between the cylinder andthe incline is µ. (Reminder: a cylinder of mass M and radius R has a moment of inertia I = (1/2) MR2about the central axis.)a) Draw the free body diagram.b) Find the acceleration of the cylinder and the force of friction between the cylinder and the incline.c) Find the maximum angle of the incline right before the cylinder starts slipping.

A solid cylinder of mass M is placed on the top of an inclined plane of height H and inclination angle θ.It starts rolling down without slipping from rest. The coefficient of friction between the cylinder andthe incline is µ. (Reminder: a cylinder of mass M and radius R has a moment of inertia I = (1/2) MR2about the central axis.)a) Draw the free body diagram.b) Find the acceleration of the cylinder and the force of friction between the cylinder and the incline.c) Find the maximum angle of the incline right before the cylinder starts slipping.