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Homework Statement
Minimum Angular Speed to start SLIPPING BEFORE ROLLING WITHOUT SLIPPING.
Homework Equations
A cylinder of mass M with radius r is given an angular speed of an w about an axis, parallel to its length , which passes through its centre. The cylinder is gently lowered onto an upward direction of inclined frictional surface which makes an angle alpha with the horizontal axis. The coefficient of friction of the two surfaces is u.
*What is the minimum angular speed w to start slipping before rolling without slipping?
*If the angular speed w is adequate to start slipping how long does it take before the cylinder starts to roll without slipping?
The Attempt at a Solution
I can see no possible way to reach the first part of the question. I can't realize why does the cylinder slip firstly before purely rolling. Is it slipping with rolling or without rolling at the begining?