Vibrating Spring with Damping. Using the model for a vibrating spring with damping discussed in Example 3:
(a) Find the equation of motion for the vibrating spring with damping if m =10 kg, b = 60 kg/sec, k = 250 kg/sec2, y(0) = m, and y’(0) = -0.1 m/sec.
(b) Find the frequency of oscillation for the spring system of part (a). [Hint: See the definition of frequency given in Problem 32(b).]
(c) Compare the results of Problems 32 and 33 and determine what effect the damping has on the frequency of oscillation. What other effects does it have on the solution?
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