Answer: Consider a spring subject to a frictional or damping force. (a) In the

Chapter 17, Problem 12

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Consider a spring subject to a frictional or damping force. (a) In the critically damped case, the motion is given by . Show that the graph of crosses the -axis whenever and have opposite signs. (b) In the overdamped case, the motion is given by , where . Determine a condition on the relative magnitudes of and under which the graph of crosses the -axis at a positive value of .

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