A car travels at a constant speed over a road that

Chapter 10, Problem 10.27

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A car travels at a constant speed over a road that contains a series of equally spaced bumps. The spacing between bumps is d. The mass of the car is m, and the spring constant of the cars suspension springs is k. Because of resonance, a particularly jarring ride results. Ignoring the effect of the cars shock absorbers, derive an expression for the cars speed v in terms of d, m, and k, as well as some numerical constants.

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