Question: 1. Consider the unforced (free) spring-mass model 3r + cr' + 15x =0, c(0) =1, r'(0) = -2. a) For what values of c do

1. Consider the unforced (free) spring-mass model 3r" + cr' + 15x =0, c(0) =1, r'(0) = -2. a) For what values of c do we have underdamping? What is the natural frequency? b) Solve the model for c =0. Draw a hand-sketch of the solution, and give it's amplitude and frequency. c) Solve the model for c=3. Draw a hand-sketch of the solution, and give its pseudo-frequency

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