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Unformatted text preview: 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 Atwoods system.) The pulley is a solid cylinder and its moment of inertia is given by I = (1/2)MR. 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 = R (= a). We apply Newtons 2 nd law to the blocks and the pulley and solve them for the acceleration first: m 1 a = T 1-m 1 g m 2 a = m 2 g-T 2 I = T 2 R-T 1 R (1/2)MR(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) g...
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