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

The cylinder is released from rest on the inclined plane. The coefficient of friction between cylinder and plane is μ. Determine the motion of the cylinder, assuming that μ is large enough to prevent slipping.

2. Relevant equations

3. The attempt at a solution

ok don't determine the motion. I have the solution in the textbook.

My question is about the friction. In my book it says "We are to assume the cylinder rolls. In this case the friction force f is an unknown and has a value satisfying 0≤f≤f_{max}where f_{max}=μN. After solving for f, we shall then impose the condition that it be less than μN, since we know the cylinder is not slipping"

Please note the friction vector is pointing to the right on the bottom of the cylinder.

I'm confused here about this friction. Why is f≤f_{max}? My intuition tells me if friction force is very big then the cylinder wouldn't roll. So if f≥f_{max}wouldn't the cylinder just not move? Why would it slip if f≥f_{max}? Thanks for explaining

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# Homework Help: Slipping rolling cylinder friction

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