A ball of mass m is connected to two rubber bands of length L, each under tension

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A ball of mass m is connected to two rubber bands of length L, each under tension T, as in Figure P15.67. The ball is displaced by a small distance y perpendicular to the length of the rubber bands. Assuming that the tension does not change, show that
(a) The restoring force is ─ (2T/L) y and
(b) The system exhibits simple harmonic motion with an angular frequency w = √2T/mL.

A ball of mass m is connected to two rubber
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