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qz8sm08sol - July25,2008 PHY2053Discussion...

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July 25, 2008 PHY2053 Discussion Quiz 8 (Chapter 8.5-9.7) Name:                                   UFID: **1. (5pts) A 3.00-kg block and a 6.00-kg block hang vertically from a 5.00-kg pulley  with a radius of 0.400 m. (This system is called Atwood’s system.) The pulley is a solid  cylinder and its moment of inertia is given by I = (1/2)MR ² . Assuming the pulley rotates  without slipping, find the tension exerted on the 6-kg block.  Taking +x axes in the directions of motions, the relation between the accelerations of the   two blocks and the angular acceleration of the pulley is given by a 1  = a 2  =  α R (= a). We  apply Newton’s 2 nd  law to the blocks and the pulley and solve them for the acceleration   first: m 1 a = T 1 -m 1 m 2 a = m 2 g-T I α  = T 2 R-T 1 R    (1/2)MR ² (a/R) = (T 2 -T 1 )R   (1/2)M = T 2 -T 1 (m 1 +m 2 +(1/2)M)a = (m 2 -m 1) a = (m 2 -m 1)
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