Consider the simple damped spring-mass system shown in the first figure. The mass is driven by an external fore given by F() = Fo cos(ut +) The mass is at rest at its equilibrium position, z-0, when...

Extracted text: Consider the simple damped spring-mass system shown in the first figure. The mass is driven by an external fore given by F() = Fo cos(ut +) The mass is at rest at its equilibrium position, z-0, when the force is turned on instantaneously at t- 0. The response of the mass to this driving foree in shown in the second figure. Assuming that the mass is m -1 kg, use the time series for z(t) to get estimates (within 20%) for: (a) The natural frequeney of the undamped oscillator, wo/(2) in Hz. Hint: You may assume that y is small, so that u = V - 7/4s u. (b) The damping coellicient, 6 in N s/m. (e) The frequency of the driving force, w/(27) in Hz. (d) The amplitude af the driving force, Fo in N. (e) What is o? y= 0.607, a = 2* 1, F, = 10, = x0.5, a, = 2 x 0.25 ....... 10 Time (s) 15 20 (u) jueLueoedsig