# Question: derive the dynamic response of an undamped freevibration massspring oscillator...

###### Question details

Derive the dynamic response of an undamped, free-vibration, mass-spring oscillator for the case k= 1000 N/m and m = 10 kg. Plot the response (displacement) for two complete periods for each of the following sets of initial conditions: a) x0 = 0 m, v0 = 1 m/s, b) x0 = 0.01 m, v0 = 0 m/s, and c) x0 = 0.01 m, v0 = 1 m/s.