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19 Nov 2019
A 10-kg mass swings at the end of a 5-meter massless rod. For small angles from vertical, the pendulum equation is ml theta.. + b theta. + mg theta = 0. Here -b theta. is a resistive force. For what value of b is the pendulum critically damped? If b is 1/2 that critical value, find the decrement (ratio of amplitudes for successive swings).
A 10-kg mass swings at the end of a 5-meter massless rod. For small angles from vertical, the pendulum equation is ml theta.. + b theta. + mg theta = 0. Here -b theta. is a resistive force. For what value of b is the pendulum critically damped? If b is 1/2 that critical value, find the decrement (ratio of amplitudes for successive swings).
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