A ball of mass m is connected to two rubber bands of
Chapter 15, Problem 72(choose chapter or problem)
A ball of mass m is connected to two rubber bands of length L, each under tension T as shown in Figure P15.72. The ball is displaced by a small distance y perpendicular to the length of the rubber bands. Assuming the tension does not change, show that (a) the restoring force is 2(2T/L)y and (b) the system exhibits simple harmonic motion with an angular frequency v 5 !2T/mL.
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