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A large number (n) of identical beads, e...

A large number (n) of identical beads, each of mass m and radius r are strung on a thin smooth rigid horizontal rod of length `L (L gt gt r)` an dare at rest at random positions. The rod is mounted between two rigid supports (see figure). If one of the beads is now given a speed v, the average force experienced by each support after a lone time is (assume all collision are elastic) :-

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