(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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?

2. Relevant equations

Torque=I*alpha

Icylinder=1/2*mass*radius^2

F=ma

a=alpha*radius

3. 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:

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# Homework Help: Rolling Motion Question

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