Problem 3: Consider a critically damped oscillator. At time t = 0 it is sitting at its equilibrium position and is kicked in the positive direction with velocity vo. Find and plot its position as a function of time. Do the same if it is released from rest at position x = xo. In this case, how far is it from equilibrium after a time equal to the period it would have in the absence of damping?
Problem 3: Consider a critically damped oscillator. At time t = 0 it is sitting at its equilibrium position and is kicked in the positive direction with velocity vo. Find and plot its position as a function of time. Do the same if it is released from rest at position x = xo. In this case, how far is it from equilibrium after a time equal to the period it would have in the absence of damping?
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Transcribed Image Text:Problem 3: Consider a critically damped oscillator. At time t = 0 it is sitting at its equilibrium position
and is kicked in the positive direction with velocity vo. Find and plot its position as a function of time.
Do the same if it is released from rest at position x = xo. In this case, how far is it from equilibrium after
a time equal to the period it would have in the absence of damping?
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