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xzibition8612
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Homework Statement
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.
Homework Equations
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≤fmax where fmax=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≤fmax? My intuition tells me if friction force is very big then the cylinder wouldn't roll. So if f≥fmax wouldn't the cylinder just not move? Why would it slip if f≥fmax? Thanks for explaining