Consider the system shown. What relationship must be statisfied by the damper co

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Consider the system shown. What relationship must be statisfied by the damper coefficients so that the moda matrix for the undamped system will uncouple the equations of motion? Your answer must be symbolic. Do not use the data from part (b). Let m= 25 lb s2/ft (slug), k = 25 lb/fit, c1 = c3 = 3 lb s/ft, and c2 = 2 lb s/ft. In the this case, the natural frequencies are omega1 = 1 rad/sec and omega2 = 5 rad/sec, and the modal matrix of the undamped system is Suppose that at t = 0, both masses are passing through the static equilibrium position and are moving to the left with speed 0.3 in/sec. Constant forces are suddenly applied simultaneously to each mass, so that where F0 = 6 lb. What is the system's total response? Give equations and plots [Hint: One check of your results would be to verify that the steady-state response is

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