- #1
zorro
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Homework Statement
An inelastic uniform sphere of radius 'a' is sliding without rotation on a smooth horizontal plane when it impinges on a thin horizontal rod at right angles to its direction of motion and at a height 'b' from the plane. Find the maximum velocity so that it will just roll over the rod.
The Attempt at a Solution
Let the initial velocity of the sphere be v and its final angular velocity be ω
By conservation of angular momentum about the corner point,
mv(a-b) = 7/5 ma2ω
By conservation of energy,
0.5mv2 = mgb + 0.5*7/5*ma2ω2
On solving, I got
which is incorrect :(
Help!