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207_Physics ProblemsTechnical Physics

207_Physics ProblemsTechnical Physics - Chapter 7 P7.58(a...

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Chapter 7 209 P7.58 (a) The new length of each spring is x L 2 2 + , so its extension is x L L 2 2 + and the force it exerts is k x L L 2 2 + F H I K toward its fixed end. The y components of the two spring forces add to zero. Their x components add to F i i = − + F H I K + = + F H G I K J 2 2 1 2 2 2 2 2 2 ± ± k x L L x x L kx L x L . FIG. P7.58 (b) W F dx x i f = z W kx L x L dx A = + F H G I K J z 2 1 2 2 0 W k x dx kL x L x dx A A = − + + z z 2 2 0 2 2 1 2 0 e j W k x kL x L A A = − + + 2 2 1 2 2 0 2 2 1 2 0 e j b g W kA kL kL A L = − + + + 0 2 2 2 2 2 2 W kL kA kL A L = + + 2 2 2 2 2 2 *P7.59 For the rocket falling at terminal speed we have F ma R Mg Mg D Av T = + = = 0 1 2 2 ρ (a) For the rocket with engine exerting thrust
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