While seated on a tall bench, extend your lower leg a small amount and then let

Question

While seated on a tall bench, extend your lower leg a small amount and then let it swing freely about your knee joint, with no muscular engagement. It will oscillate as a damped pendulum. Figure is a graph of the lower leg angle versus time in such an experiment.

While seated on a tall bench, extend your lower leg a small amount and then let it swing freely about your knee joint, with no muscular engagement. It will oscillate as a damped pendulum. Figure is a graph of the lower leg angle versus time in such an experiment. 1.Estimate the period for this oscillation. Express your answer to two significant figures and include the appropriate units. 2. Estimate the time constant for this oscillation. Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

1.period of oscillation=1 sec 2. at t=0, magnitude=10 at t=2.5,magnitude is 5. so if time constant is T, then for t=2.5, 5=10*exp(-2.5/T) solving we get, time constant of the system=3.6067 sec

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