An object of mass m is connected to two rubber bands of

Chapter 13, Problem 13.62

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An object of mass m is connected to two rubber bands of length L, each under tension F, as in Figure P13.62. The object is displaced vertically by a small distance y. Assuming the tension does not change, show that (a) the restoring force is (2F/L)y and (b) the system exhibits simple harmonic motion with an angular frequency .

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