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## Homework Statement

A cylinder with moment of inertia I, mass M, and radius r is being pulled by a string with a tension T.

What is the acceleration of the cylinder? What is the force of friction?

## Homework Equations

Fnet = M*a = T - f

Torque = I*(a/r) = f*r

## The Attempt at a Solution

So a = f*r^2/I

And M*(f*r^2/I) = T- f.

What I don't understand is how "f" (friction) slows the cylinder. It is just causing rotation, not acting on the center of mass. I thought my professor said that rolling friction doesn't slow things down...

Thanks.