Analytical Mech Homework Solutions 17

Analytical Mech Homework Solutions 17 - v= vt v (v t 2.14 2...

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() 1 22 2 t t vv v = + D D , 2 t gm v kc == g 2.14 Going up: 2 2 x Fm g c v =− 2 dv av gk v dx , 2 c m = k 2 0 vx v vdv dx v = −− ∫∫ D 2 1 ln 2 v v v x k D = 2 2 2 kx v e v + = + D 2 kx gg e kk  =+   D Going down: 2 2 x g c + v 2 dv vg dx =− + k v 2 00 vdv dx v = −+ 2 0 1 ln 2 v v xx k D 2 kx kx k ve e g −= D 1 2 kx kx D e 2.15 2 12 dv mm g c v c dt =−− v 2 tv dt dv g c v c v = Using 2 2 4 ln 42 4 dx cx b b ac ab xc x ba cc x bba +− = ++ +
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