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R Mech 3 A student holds one end of a thread which is wrapped around...

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R Mech 3 A student holds one end of a thread which is wrapped around a cylindrical spool as shown above The student then drops the spool from a heighth above the floor and the thread unwinds as it falls The spool has a mass M and a radius R and the thread has negligible mass The spool can be approximated as a solid cylinder of moment of inertia 1 MR Express your answers in terms of M R h and fundamental constants a Calculate the linear acceleration of the spool as it falls Thread de 10 HAKK b Calculate the angular velocity of the spool just before it strikes the floor At time 1 0 the spinning spool lands on the floor without bouncing and comes free from the thread It continues to spin but slips on the floor s surface while doing so Assume a constant coefficient of sliding friction c Calculate the angular velocity of the spool as a function of time 1 d Calculate the horizontal speed of the spool as a function of time assuming the horizontal speed is zero at time 0 e At what time does slipping between the spool and floor cease

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