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Your instructor drops a spool of thread while holding on to thethread from a hei

ID: 1756827 • Letter: Y

Question

Your instructor drops a spool of thread while holding on to thethread from a height of 1.4 meters above the ground. The mass ofthe spool is 0.28kg, its radius is 2cm, and its mement of inertiais 1.2x10-4 kgm2 (You may ignore any effectsdue to the thread unraveling as the spools falls - treat the massof the spool and its moment of inertia as constant throughout theproblem).

a) What is the magnitude of the acceleration of the spool as itfalls?
b) What is the tension in the threat as the spool falls to thefloor?

Please show steps and any explanations are appreciated! Willrate!!


Explanation / Answer

This is what I've worked so far: E = Kt + Kr +UgE = (0-1/2mv2) +(0-1/2I2) + (mgh-0) mgh = (1/2mv2) + (1/2I2) Solving for v and using v=r: v=3.6396 m/s What now? How do I solve for acceleration? I'm also thinking itsasking for just plain ole acceleration and not angularacceleration..so kinematics?