problem04_57

University Physics with Modern Physics with Mastering Physics (11th Edition)

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4.57: In this situation, the x -component of force depends explicitly on the y -component of position. As the y -component of force is given as an explicit function of time, y v and y can be found as functions of time. Specifically, t m k a y ) / ( 3 = , so 2 3 ) 2 / ( t m k v y = and 3 3 ) 6 / ( t m k y = , where the initial conditions 0 , 0 0 0 = = y v y have been used. Then, the expressions for x x v a , and x are obtained as functions of time: . 120 2 24
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Unformatted text preview: 6 5 2 3 2 2 1 4 2 3 2 1 3 2 3 2 1 t m k k t m k x t m k k t m k v t m k k m k a x x + = + = + = In vector form, . ˆ 2 ˆ 24 ˆ 6 ˆ 120 2 2 3 4 2 3 2 1 3 3 5 2 3 2 2 1 j i v j i r + + = + + = t m k t m k k t m k t m k t m k k t m k...
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