ME 261 Spring 2007 Test 2

# ME 261 Spring 2007 Test 2 - 1 Find the velocity of the ball...

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ME 261 - Spring 2007 - Test 2 Wednesday, March 28, 2007 Name (PRINT): _____________________ Problem 1 The gear train in this figure has four gears. The number of teeth for each gear is: A: 9; B: 78; C=13; D: 90. Since these gears have the same size teeth, their diameters are proportional to the number of teeth. Note that B and C are mounted on the same shaft. Gear A rotates in the clockwise direction at 1 rpm. 1. Find the angular velocity of each gear (Both magnitude and direction). 2. Find the speed ratio between A and D 3. Show the direction of the acceleration vector at the contact point between C and D. Problem 2 A tennis ball with a coefficient of restitution of 0.8 is moving horizontally until it hits a smooth inclined concrete surface as shown.

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Unformatted text preview: 1. Find the velocity of the ball after impact. 2. Find the angle that the velocity vector makes with the vertical after impact. A B C D Side view Top view 45 o 30 m/s Problem 3 In this problem we have three balls A, B and Q on a pool table in the positions shown below. You are asked to plan how to sink ball A in the corner pocket in the lower left corner of the figure. You shall consider two scenarios: 1. The cue ball (Q) hits ball B, ball B hits ball A, ball A goes into the pocket. 2. The cue ball hits ball B, the cue ball hits ball A, ball A goes into the pocket. In each case, show the path taken by each ball, the exact position of the balls during each impact, and the velocity vectors before and after each impact. Q A B Q A B...
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ME 261 Spring 2007 Test 2 - 1 Find the velocity of the ball...

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