Forced damped oscillations A 10-kg block hangs from a
Chapter , Problem 24(choose chapter or problem)
Forced damped oscillations A 10-kg block hangs from a spring with spring constant k = 62.5 N>m. The block oscillates in a fluid that produces resistance with a damping constant c = 40 kg>s. The support of the spring vibrates and produces an external force of Fext = 10 cos 2t. Assume the block is initially at rest at the equilibrium position and released with no velocity. a. Find and graph the position of the block after it is released. b. Identify the transient and steady state solutions, and graph them separately. c. After approximately how many seconds does the transient solution become negligible? d. Find the position function of the block using a transfer function and confirm that your solution is consistent with part (a).
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