Problem 3- The equation of motion for the free vibration of a SDOF system is given...

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Problem 3- The equation of motion for the free vibration of a SDOF system is given by: X(t) A sin (wat + 0) This response has been plotted and shown in the figure below. By using the graph shown below, find: a) Amplitude A b) Frequency f in Hertz c) Frequency w in rad/sec d) Phase angle 0 in degrees (you should calculate this. No approximation from the graph) e) The initial displacement f) The Initial velocity (you should calculate this. No approximation from the graph) g) The amplitude of the corresponding acceleration response (you should calculate this. No approximation from the graph) A 2 28 1.8 1.6 14 12 186 08 06 0.4 0.2 02 u -02 -04 d -0.6 e -0.8 -1 -1.2 -1.4 -16 -1.8 -2 82 0/6 26 66 86 06 40 Time in seconds Problem 3- The equation of motion for the free vibration of a SDOF system is given by: X(t) A sin (wat + 0) This response has been plotted and shown in the figure below. By using the graph shown below, find: a) Amplitude A b) Frequency f in Hertz c) Frequency w in rad/sec d) Phase angle 0 in degrees (you should calculate this. No approximation from the graph) e) The initial displacement f) The Initial velocity (you should calculate this. No approximation from the graph) g) The amplitude of the corresponding acceleration response (you should calculate this. No approximation from the graph) A 2 28 1.8 1.6 14 12 186 08 06 0.4 0.2 02 u -02 -04 d -0.6 e -0.8 -1 -1.2 -1.4 -16 -1.8 -2 82 0/6 26 66 86 06 40 Time in seconds