PHYS310_homework_06_solutions

PHYS310_homework_06_solutions - Homework set 6, due...

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Unformatted text preview: Homework set 6, due Wednesday, October 5, 11:30 am Following problems from Analytical Mechanics by Fowles & Cassiday 1. 4.7 For a point on the rim measured from the center of the wheel: cos sin r ib jb =- v v t t b = = o , so sin cos r iv jv = -- o o v & Relative to the ground, ( 29 1 sin cos v iv jv =-- o o v For a particle of mud leaving the rim: sin y b = - o and cos y v v = - o o So cos y y v v gt v gt =- = -- o o and 2 1 sin cos 2 y b v t gt = --- o At maximum height, y v = : cos v t g = - o 2 cos 1 cos sin cos 2 v v h b v g g g = ----- o o o 2 2 cos sin 2 v h b g = - + o Maximum h occurs for 2 2 cos sin cos 2 dh v b d g = = -- o 2 sin gb v = - o 4 2 2 2 2 4 cos 1 sin v g b v - = - = o o 2 4 2 2 2 2 max 2 2 2 2 2 2 gb v g b gb v h v gv v g- = + = + o o o o o Measured from the ground, 2 2 max 2 2 2 gb v h b v g = + + o o The mud leaves the wheel at 1 2 sin gb v - =- o 2. 4.8 (20 points) cos x R...
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This note was uploaded on 12/07/2011 for the course PHYS 310 taught by Professor Jones,m during the Fall '08 term at Purdue University-West Lafayette.

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PHYS310_homework_06_solutions - Homework set 6, due...

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