Problems 3-20, 3-27, 3-29 and

For the oscillator of problem 3-1 (m=100 grams, K=10000 dynes/cm)
a) for beta=1 sec-1; and x(0)=0, v(0)=2 cm/sec, calculate and plot x(t).
b) for beta=10 sec-1; and x(0)=3 cm, v(0)=0 cm/sec, calculate and plot x(t).
c) for beta=15 sec-1; and x(0)=0, v(0)=2 cm/sec, calculate and plot x(t).


with beta=1 sec-1. What is the "steady state" oscillation amplitude when driven by a force F cos(wt) with F=10 dynes and:
a) w=0 sec-1
b) w=5 sec-1
c) w=10 sec-1
d) w=20 sec-1
e) construct a plot of maximum amplitude vs driving frequency (w).