Analytical Mech Homework Solutions 19

Analytical Mech Homework Solutions 19 - 2.17 dv dv = mv = f...

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2.17 () () dv dv mm v f x g dt dx == i v () mvdv f xd x gv = By integration, get dx vvx dt If Fx : () ( )( , t fxgt = i ) 2 2 dx d d x f x g dt dt dt    i t This cannot, in general, be solved by integration. I f ) ( ) , t fv gt = i Fv : dv mf v g dt = i t mdv gtd t fv = Integration gives vv t = dx vt dt = dx v t dt = A second integration gives ( ) x xt = 2.18 ( ) 42 6 1 1.55 10 10 1.55 10 kg c s −− 2 25 2 0.22 10 2.2 10 kg c s × 1 2 7 2 66 55 10 9.8 1.55 10 1.55 10 2 2.2 10 2 2.2 10 2.2 10 t v  ××  =− + + ×  5 0.179 t m v s = Using equation 2.29, ( ) 7 5 10 9.8 0.211 2.2 10 t m
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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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