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Physics Problems 120 - a role gravity normal forces tension...

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116 Chapt. 12 Rotational Dynamics b) Now assume the pulley does have rotational inertia. Estimate the rotational inertia of the pulley assuming it is a uniform disk. Answer the questions from part (a) in this case. 012 qfull 01350 2 3 0 moderate math: rotational energetics with gravity 16. You have a globe of rotational inertia I gl and radius r gl being spun by a rope unwinding from its equator. Said rope goes out horizontally from the globe and passes over a pulley (rotational inertia I pu and radius r pu ) and dangles down with a block of mass m bl at the end. The axles of the globe and pulley are frictionless, but the rope on the globe and pulley is no-slip. a) Why does the system conserve mechanical energy? Consider all the forces that must play
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Unformatted text preview: a role: gravity, normal forces, tension forces, and static friction. b) From energetics what is the expression speed of the block after it falls a height Δ y from rest? The globe and pulley were at rest at time zero too. c) Say that the globe and pulley can be treated, respectively, as a thin spherical shell (mass m gl = 5 kg, radius r gl = 0 . 3 m) and a uniform disk (mass m pu = 0 . 5 kg, radius r pu = 0 . 1 m), respectively. Calculate their rotational inertias. d) Say m bl = 0 . 2 kg and Δ y = 2 m. What is the block speed at the end of the fall?...
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