ME215_Midterm_1_SU06

ME215_Midterm_1_SU06 - 2 The 6-lb slider is released from rest at point A and slide with negligible friction in a vertical plane along the circular

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ME 215 - Vector Dynamics Midterm Exam Summer 2006 Name: _____________________________ Bronco ID: ______________________ 1. A batter hits the baseball A with an initial velocity of v 0 = 100 ft/sec directly toward fielder B at an angle of 30 ° to the horizontal; the initial position of the ball is 3 ft above ground level. Fielder B requires 0.25 sec to judge where the ball should be caught and begins moving to that position with constant speed. Because of great experience, fielder B chooses his running speed so that he arrives at the “catch position” simultaneously with the ball. The catch position is the field location at which the ball altitude is 7 ft. Determine the velocity of the ball relative to the fielder at the instant the catch is made. (30 points) 1
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ME 215 - Vector Dynamics Midterm Exam Summer 2006 Name: _____________________________ Bronco ID: ______________________ 2
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ME 215 - Vector Dynamics Midterm Exam Summer 2006 Name: _____________________________ Bronco ID: ______________________
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Unformatted text preview: 2. The 6-lb slider is released from rest at point A and slide with negligible friction in a vertical plane along the circular rod. The attached spring has a stiffness of 2 lb/in. and has an unstretched length of 24 in. To determine the velocity of the slider as it passes position B , (a) Derive the dynamic force equilibrium equations in the normal-tangential coordinate system (20 points) (b) Determine the velocity of the slider as a function of θ (30 points). (c) Determine the normal reaction force from the rod to the slider when the slider passes position B (20 points). (d) Determine the velocity of the slider as it passes position B using the principle of work and energy ( Extra Credit: 20 points ) 3 ME 215 - Vector Dynamics Midterm Exam Summer 2006 Name: _____________________________ Bronco ID: ______________________ 4 ME 215 - Vector Dynamics Midterm Exam Summer 2006 Name: _____________________________ Bronco ID: ______________________ 5...
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This note was uploaded on 05/05/2008 for the course ME 215 taught by Professor K during the Summer '08 term at Cal Poly Pomona.

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ME215_Midterm_1_SU06 - 2 The 6-lb slider is released from rest at point A and slide with negligible friction in a vertical plane along the circular

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