1.35A frictionless mass-spring-damper system has m = 0.5 kg, k = 8 N/m, and c = 1 kg/s.
a) Determine the natural frequency of the system in free response.
b) Determine the critical damping value.
c) Determine the damping ratio of the system.
d) Is the system undamped, overdamped, or critically damped?
e) Determine the damped frequency.
f) Determine the decay constant (the in et g).
If the mass is driven at 3 Hz with an amplitude of 1 cm, determine the maximum amplitude of the long-term response of the system.