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A ball of mass m collides elastically wi...

A ball of mass `m` collides elastically with a smooth hanging rod of mass `M` and length `l`.
a. If `M=3m` find the value of `b` for which no horizontal reaction occurs at the pivot.
b. For what value of `m//M` the ball falls dead just after the collision assuminng `e=(1/2)`?

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