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Unformatted text preview: 5. Here T = m 2 x 2 + y 2 + z 2 and U = mgz where x = z cos ,y = z sin The equation of motion corresponding to yields z 2 = h where h is some constant (which depends on initial conditions and the mass). 6. Here T = m 2 x 2 P + y 2 P + m 2 h 2 1 + m 2 h 2 2 and U = mgy P + mgh 1 + mgh 2 where x P = 4 b 2 + PA 2 PB 2 4 b ,y P = p PA 2 x 2 h 1 = ( a PA ) ,h 2 = ( a PB ) Note, the T in the question is the f rst term in the expression above. 1...
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This note was uploaded on 11/17/2011 for the course TAM 412 taught by Professor Weaver during the Spring '08 term at University of Illinois, Urbana Champaign.
 Spring '08
 Weaver

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