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Question Number 57400 by ajfour last updated on 03/Apr/19

Commented by ajfour last updated on 04/Apr/19

$$\mathrm{A}\mathrm{small}\mathrm{block}\mathrm{of}\mathrm{mass}\mathrm{m}\mathrm{at}\mathrm{the}\mathrm{top}$$$$\mathrm{of}\mathrm{a}\mathrm{solid}\mathrm{sphere}\mathrm{is}\mathrm{given}\mathrm{a}\mathrm{gentle}$$$$\mathrm{tap}\mathrm{to}\mathrm{initiate}\mathrm{motion}.\mathrm{Find}\mathrm{angle}$$$$\alpha \mathrm{till}\mathrm{where}\mathrm{block}\mathrm{remains}\mathrm{in}\mathrm{contact}$$$$\mathrm{with}\mathrm{sphere}.\mathrm{Assume}\mathrm{no}\mathrm{friction}$$$$\mathrm{between}\mathrm{block}\mathrm{and}\mathrm{sphere},\mathrm{while}$$$$\mathrm{enough}\mathrm{friction}\mathrm{on}\mathrm{ground}\mathrm{such}\mathrm{that}$$$$\mathrm{sphere}\mathrm{rolls}.\mathrm{Find}\mathrm{also}\mathrm{the}\mathrm{speed}\mathrm{of}$$$$\mathrm{sphere}\mathrm{when}\mathrm{the}\mathrm{small}\mathrm{block}\mathrm{loses}$$$$\mathrm{contact}\mathrm{with}\mathrm{sphere}.$$

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