Analytical Mech Homework Solutions 79

Analytical Mech Homework Solutions 79 - 3 T= 2 p2 a 3 2 d +...

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() 3 2 32 2 2 1c o s pd Ty a θ π + = + D D r From a table of integrals, 3 2 11 tan tan 22 6 o s dx x x x =+ + 2 3 2 3 21 tan tan 23 2 p a θθ      DD r 1 2 o s tan c o s x x x = + 1 2 1 2 2 2 tan 2 2 p ap a p p a == D 13 3 2 3 pa p a p p  −−    r 1 3 2 2 2 1 3 p a p yr p 1 2 3 pp aa r ) T is a maximum when ( 1 2 2 p aap +− is a maximum. ( ) ( ) ( ) ( 2 2 2 d pa ap dp + + ) 1 ( )( ) 6 p aa p T is a maximum when 2 a p = . 1 2 21 2 2 77.5 3 T yr day ππ = When 0.6 p a = 2 2.2 .04 0.2088 76.2 3 T yr day = 6.29 3 kk Vr rr ε =− 17
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This note was uploaded on 01/06/2012 for the course PHYSICS 4360C taught by Professor Johnanderson during the Fall '11 term at UNF.

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