Problem Set 10

Problem Set 10 - ME240 Fall 2008 Problem Set 10 Due...

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1 ME240 Fall 2008 Problem Set 10: Due December 1 Problem 1 The 5-oz ball is translating with velocity v A = 80 ft/s perpendicular to the bat just before impact. The player is swinging the 31-oz bat with angular velocity ω = 6π rad/s before the impact. Point C is the bat’s instantaneous center both before and after the impact. The distance b = 14 in and ӯ = 26 in. The bat’s moment of inertia about its center of mass is I B = 0.033 slug-ft 2 . The coefficient of restitution is e = 0.6, and the duration of the impact is 0.008 s. Determine the magnitude of the velocity of the ball after the impact and the average force A x exerted on the bat by the player during the impact if (a) d = 0, (b) d = 3 in, and (c) d = 8 in. Problem 2 In Problem 1, show that the force A x is zero if d =I B /(m B ӯ), where m B is the mass of the bat. Problem 3 The slender bar is released from rest in the position shown in Fig. (a) and falls a distance h = 1 ft. When the bar hits the floor, its tip is supported by a depression and remains on the floor as

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This note was uploaded on 04/08/2010 for the course MECHENG 240 taught by Professor Perkins during the Fall '09 term at University of Michigan.

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Problem Set 10 - ME240 Fall 2008 Problem Set 10 Due...

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