Question: 4. Consider the unforced (free) spring-mass model 2 + cx' + 10x = 0, x(0) = 1, '(0) = 2. a) For what values

4. Consider the unforced (free) spring-mass model 2" + cx' + 10x = 0, x(0) = 1, '(0) = 2. a) For what values of c do we have underdamping? What is the natural frequency? b) Solve the model for c= 0. Graph the solution by hand, and state it's amplitude and frequency. c) Solve the model for c= 4. Graph the solution by hand, and state its pseudo-frequency.

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