Max Angle of Rolling Solid Cylinder on Inclined Plane | CaptFormal

[CaptFormal]

Homework Statement

A block of a certain material begins to slide on an inclined plane when the plane is inclined to an angle of 12.95°. If a solid cyclinder is fashioned from the same material, what will be the maximum angle at which it will roll without slipping on the plane?

Homework Equations

The Attempt at a Solution

I really don't know how to even start this problem. Any help will be appreciated. Thanks.

-CaptFormal

 

[rl.bhat]

Since the block slides when the angle of of inclination θ, the surface is not frictionless.
So what is the expression of frictional force Fr?
If the block remains at rest on the inclined plane, what is the condition?
In the case of cylinder, linear motion of the center of mass must be zero and torque due to Fr should be zero. What is the expression of the torque on a cylinder?
What is the torque on the cylinder due to Fr?