Unformatted text preview: of x ( t ) and the frequency of motion. 2. We assume that there is a friction force between m 1 and the horizontal surface, such that the force on m 1 is f f =α ˙ x , where ≤ α < 2 √ km 1 . We further assume that the collision between m 1 and m 2 is instantaneous and elastic. a. Write the equation of motion for m 1 after the collision. b. Determine the trajectory x 1 ( t ) of m 1 after the collision, and specify the oscillation frequency. c. Write the equation of motion for m 2 after the collision, assuming that the same friction coefficient α applies to the two masses. d. Determine the trajectory x 2 ( t ) of m 2 after the collision. Niels Grønbech Jensen DEPARTMENT OF MECHANICAL AND AERONAUTICAL ENGINEERING  UNIVERSITY OF CALIFORNIA  DAVIS, CALIFORNIA 95616 TEL: 530.752.5335...
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 Winter '08
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 Force, Mass, 2 K, Niels Grønbech Jensen

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