A block of mass 2.5 kg is connected to a spring with k=1250 N/m. (a) At t = 0 the block is released from rest at x(t = 0) = 28 mm from equilibrium. The motion is linearly damped with b = 50 kg/s. Find the amplitude A and phase angle ?. (Note that the amplitude is not obviously the displacement at t = 0 as it would be for the undamped case!) (b) Now consider a driving force with FD = 12 N and ?D=25 rad/s being attached to the oscillator. Find the amplitude of oscillations for the damped, driven system.
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