Analytical Mech Homework Solutions 165

Analytical Mech Homework Solutions 165 - 2 V = 2k ( x b) x...

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2 2( ) 2) VV kx b ky b xy ∂∂ =− at equilibrium 2 x b and y b == 22 2 20 VVV kk xx y y 2 = k 11 12 21 22 0 2 k k k => = 11 12 2 21 22 40 k > 0 The equilibrium is stabe. 11.3 2 1 () 2 Vx k x dV x dx Fx k x m x dx dx = = = ± ±± ± kx dx mx dx = 0 0 xv x kxdx mx dx = ∫∫ 2 0 kv xx m −= 12 0 dx vk m x x dt 0 0 0 ; xt x dx dt where k m αα ( ) 00 ln ln x x t α +−− = t x xx x e +− = 22 2 2 0 2 tt 2 x e x x e x + cosh 2 ee x t + 11.4 Let the length of the unstretched, elastic cord be d . Then 2 l
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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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