A 2.0 kg block is attached to the end of a spring with a spring constant of 350 N/m and forced to oscillate by an applied force F = (15 N) sin((dt), where (d = 35 rad/s. The damping constant is b = 15 kg/s. At t = 0, the block is at rest with the spring at its rest length.
(a) Use numerical integration to plot the displacement of the block for the first 1.0 s. Use the motion near the end of the 1.0 s interval to estimate the amplitude, period, and angular frequency. Repeat the calculation for
(b) (d = (k/m and
(c) (d = 20 rad/s.