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In: Physics

At t= 0 the undamped oscillator is passing through the equilibrium point (x= 0) with a velocity of 3 m/s. What is the amplitude of the undamped oscillation?

A mass m is attached to a spring with spring constant k and is allowed to oscillate in a resistive medium where the resistance is proportional to the velocity of the mass and opposes the motion, i.e. F =-bv

given

m=0.01 kg

k=1.44N/m

a) At t= 0 the undamped oscillator is passing through the equilibrium point (x= 0) with a velocity of 3 m/s. What is the amplitude of the undamped oscillation?

b) At what frequency should we drive the oscillator in order to get the maximum amplitude response?

c) What is the phase difference between the driver and the oscillator response if the oscillator is driven at w =24s-1?

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