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Analytical Mech Homework Solutions 12

Analytical Mech Homework Solutions 12 - CHAPTER 2 NEWTONIAN...

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CHAPTER 2 NEWTONIAN MECHANICS: RECTILINEAR MOTION OF A PARTICLE 2.1 (a) ( ) 1 x F ct m = + D ±± ( ) 2 0 1 2 t F c x F ct dt t t m m = + = + D D ± m 2 2 0 2 6 t F F c c 3 x t t dt t m m m m = + = + D D t (b) sin F x ct m D = ±± ( ) 0 0 sin cos 1 cos t t F F F x ct dt ct ct m cm cm = = − = D D D ± ( ) 0 1 1 cos 1 sin t F F x ct dt ct cm cm c = = D D (c) ct F x e = ±± m D ( ) 0 1 t ct ct F F x e e cm cm = = D D ± ( ) 2 1 1 1 ct ct F F x e t e cm c c c m = = D D ct 2.2 (a) dx dx dx dx x x dt dx dt dx = ± ± ± = = ±± ± ( ) 1 dx x F cx
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