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Physics Homework Question - Cylinder on a frictional conveyor belt

1. Homework Statement

A solid, uniform cylinder with mass M and radius R is initially at rest. It is gently placed on a conveyor belt moving at constant velocity V as shown above. The cylinder's axis is perpendicular to the belt's velocity. The coefficients of static and kinetic friction are nonzero constants. (Ignore other energy losses such as rolling resistance)

Basically a cylinder on its curvy side is placed on a frictional conveyor belt

What is the final speed of the cylinder's center of mass? (in terms of M, R, and v i guess?)

2. Homework Equations

Torque = r * f
r * f = I(alpha)

Fnet = ma
Ffriction = ma


3. The Attempt at a Solution

Ffriction = ma
umg = ma
a = ug

rf = i*alpha
rumg = 1/2 mr^2 * (a / r)
ug = 1/2 a

after that i dont know wat to do. i actually i dont really know wat im doing at all =/
 

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