Question

(1) Suppose that the mass in a mass-spring-dashpot system with m = 10, the damping constant c = 9 and the spring constant k = 2 is set in motion with x(0) = −1/2 and x′(0) = −1/4.

(a)[5 pts] Find the position function x(t).

(b)[5 pts] Determine whether the mass passes through its equilibrium position. Sketch the graph of x(t).

Answer 1

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x(0) 0.5