Find period of Vibration

Determine the period of the vibration of the system shown. (Vibe.doc)

Determine viscous damping coefficient c

A Mass-Spring-Damper is tested to determine the value of the viscous damping coefficient c. Assume k = 10 lb/ft and m = 2 slug. The vibrational amplitude is observed to decrease by 33% of its initial value after two consecutive cycles. What is the value of the viscous damping coefficient c? Mutiple choice answers. See attachment for details

Determine frequency ratios

In the idealized model shown (See Attached) m = slug, k = 9 lb/ft and the viscous damping factor is 0.15. For what range of requency ratios will the magnification be greater than 1? (please see attached for details)

Determine modal ratios

For the two degrees of freedom structure shown, what are the values of the modal ratios if m1 = m2 = m, k1 = k, and k2 = 3k See Attached for question and details.

Vibration Problem (Plot Curve for Amplitude of Vibration; Determine Amplitude of Vibration for Given Motor Speed)

A schematic of a horizontal shaker is shown in figure 1 {see attachment}. The shaker consists of a mass supported on four thin, rectangular springs. The springs are L=200mm long, w=50mm wide and t=4mm thick. The Young's modulus for the springs is 200 GPa. The mass is coupled to the ground via a damper with damping factor C=894Ns/m. The shaker is driven by a motor with an eccentric mass, mo=50g at an eccentricity of e=150mm. The total mass of the shaker, including motor, is 10kg. 1) Plot the curve for the amplitude of vibration, x to the frequency ration, r for 0<=r<=3. 2) Determine the amplitude of vibration for a motor speed of 1440 rev per min.