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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 ma

^{2}ω

By conservation of energy,

0.5mv

^{2}= mgb + 0.5*7/5*ma

^{2}ω

^{2}

On solving, I got

which is incorrect :(

Help!