(a) The response of an oscillator with mass \(m=1\) kg is shown in Figure 3.51. What can you say about the properties of the oscillator and the response? Determine the equation of motion and the initial conditions.

(b) One property is changed, with all others remaining the same. The resulting time history now looks like Figure 3.52. What can you say about the properties of the oscillator and the response? Determine the equation of motion and the initial conditions.

Transcribed Image Text:

x(t) (m) 0.8 0.6 0.4 0.2 * 0 -0.2 -0.4 -0.6 -0.8 -1 0 2 4 6 8 10 12 14 16 18 20 Time (s) Figure 3.51: Free vibration for Problem 3(a).