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A small ball of mass m is connected by a...

A small ball of mass `m` is connected by an inextensible massless string of length with an another ball of mass `M = 4m`. They are released with zero tension in the string from a height `h` as shown in the figure. Find the time when the string becomes taut for the first time after the mass `M` collides with the ground. Take all collisions to be elastic.

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