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anand
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Homework Statement
A wheel of radius R rolls along the ground with velocity V.
A pebble is carefully released on top of the wheel so that it is instantaneously at rest on the wheel.
(a) Show that the pebble will immediately fly off the wheel if V> sqrt(Rg)
(b) Show that in the case where V< sqrt(Rg) and the coefficient of friction is u=1,the pebble starts to slide when it has rotated through an angle given by theta=arccos[(1/sqrt(2))(V^2/Rg)]-pi/4
The Attempt at a Solution
I've tried resolving the forces along a set of axes parallel and perpendicular to the surface of the sphere,but I can't arrive at the required answer.