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.

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Question

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 and
the incline is µ. (Reminder: a cylinder of mass M and radius R has a moment of inertia I = (1/2) MR2
about 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.

Definition Definition Force that opposes motion when the surface of one item rubs against the surface of another. The unit of force of friction is same as the unit of force.

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