solve this Which returns to equilibrium most rapidly after being displaced. a he

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Which returns to equilibrium most rapidly after being displaced. a heavily damped oscillator , a critically damped oscillator , or a lightly damped oscillator. In steady state. Does damped driven Oscillator oscillate at the natural frequency of the oscillator. at the driving frequency, or at neither of the these frequencies?(5 pts) The differential equation governing the displacement z of a damped oscillator can be written as d2x/dx2 + gamma dx/dt + omega2x=0 What are the units of gamma? In the plot below the steady state amplitude, of two different damped, driven oscillator are plotted as a function of driving frequency Ohm. What is the resonant frequency of the oscillators? Which oscillator has a larger damping rate?

Explanation / Answer

a] a lightly damped oscilllator returns to equillibrium first

b]in steady state the damped driven oscillator oscillates at the driving frequency of the oscillator

c]the units of gamma in the given equation is s^-1 or 1/s

d] the resonant frequency is = 200/2pie

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