5. Consider a mass-spring system with a mass m = 2, spring constant k = 3, and damping coefficient c = 1. Lebl 2.4.2 (a) Write a differential equation to represent the spring-mass system. (b) Find the general solution x(t). (c) Is the system underdamped, overdamped, or critically damped?

5. Consider a mass-spring system with a mass m = 2, spring constant k = 3, and damping coefficient c = 1. Lebl 2.4.2 (a) Write a differential equation to represent the spring-mass system. (b) Find the general solution x(t). (c) Is the system underdamped, overdamped, or critically damped?

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Question

please help with question 5. please solve a, b, c, and d.

5. Consider a mass-spring system with a mass m = 2, spring constant k = 3, and damping coefficient
c = 1.
Lebl 2.4.2
(a) Write a differential equation to represent the spring-mass system.
(b) Find the general solution r(t).
(c) Is the system underdamped, overdamped, or critically damped?
(d) If the system is not critically damped, find e that makes the system critically damped.

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