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## Homework Statement

The axle of a uniform solid cylinder of mass m1=7.1 Kg is attached to a string that runs over a massless, frictionless pulley. The other end of the string is attached to a mass m2. The coefficient of static friction between the cylinder and the table is U=0.202. What is the max mass m2 (in Kg) for which the cylinder will roll without slipping?

## Homework Equations

Torque=I*alpha

Icylinder=1/2*mass*radius^2

F=ma

a=alpha*radius

## The Attempt at a Solution

__m2__Tension-m2*g=m2*a

a=(Tension-m2*g)/m2

__m1__Torque=U*m1*g*radius=1/2*m1*radius^2*(a/radius)

a=2*U*g

__System__2*U*g=(Tension-m2*g)/m2

See diagram: