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A uniform rod AB of mass M and length sq...

A uniform rod `AB` of mass `M` and length `sqrt(2)R` is moving in a veritcal plane inside a hollow sphere of radius `R`. The sphere is rolling on a fixed horizontal surface without slipping with velocity of its centre of mass `2v`. When the end `B` is the lowest position, its speed is found to be `v` as shown in the figure. If the kinetic energy of the rod at this instant is `(4)/(K)Mv^(2)`. Find `K`.

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