(a) A mass of 2 kg is attached to a spring and a damper, set in motion, and observed to move as x(t) = e-t cos(2t). Determine the spring constant k (in kg/s²) and the damping constant c (in kg/s), where c = 2 mwo 5.

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(a) A mass of 2 kg is attached to a spring and a damper, set in motion, and observed to move
as x(t) = e-t cos(2t). Determine the spring constant k (in kg/s2) and the damping constant
c (in kg/s), where c = 2 mwo 5.
(b) Find the steady state solution to the equation x" + 4 x' + 9 x = 4 cos(t). Does this system
Transcribed Image Text:(a) A mass of 2 kg is attached to a spring and a damper, set in motion, and observed to move as x(t) = e-t cos(2t). Determine the spring constant k (in kg/s2) and the damping constant c (in kg/s), where c = 2 mwo 5. (b) Find the steady state solution to the equation x" + 4 x' + 9 x = 4 cos(t). Does this system
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