4346. Horizontal oscillators The equation of motion for a

Chapter , Problem 44

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4346. Horizontal oscillators The equation of motion for a springblock system that lies on a horizontal surface (see figure) is the same as the equation of motion for a vertically suspended system. As before, m is the mass of the block, k is the spring constant, c is the damping coefficient (perhaps due to friction as the block slides on the surface), and Fext is an external force. We let x1t2 be the position of the block at time t, where x increases to the right and x = 0 is the position of the block at which the spring is neither stretched nor compressed. a. Find the position of the block in the following situations. b. Graph the position function. c. Describe the type of motion you observe.m = 4 kg, c = 8 kg>s, k = 140 N>m, Fext = 0, x102 = -2, x_102 = 1

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