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A particle hangs by a light inextensible string of length I from a ?xed point 0, and a second particle of the same mass hangs from the ?rst by an identical string

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A particle hangs by a light inextensible string of length I from a ?xed point 0, and a second particle of the same mass hangs from the ?rst by an identical string. It is observed that when the whole system rotates about the vertical through 0 with constant angular speed w, the upper and lower strings make constant angles a and [3 with the vertical respectively. (a) Show that tan? = p (sina + sin ?), where p = lwz/g. (12 marks) (b) Show further that tana = p(sina + % sin ?). (10 marks) (0) Hence, show that 6 > a.