A 1 (kg) mass is attached to a spring with constant k = 5 (N/m) and submerged into a liquid that imparts a damping force numerically equal to twice its velocity. There is no external force. Which of the following represents the general solution of the corresponding mass-spring problem? x(t) = e^-t(c1 cos 3t + c2 sin 3t) x(t) = e^2t(c1 cos t + c2 sin t) x(t) = e^-t(c1 cos 2t + c2 sin 2t) x(t) = c1 cos 3t + c2 sin 3t
Added by Carrie W.
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The equation of motion is given by Newton's second law: F = ma where F is the total force acting on the mass, m is the mass, and a is the acceleration. The total force acting on the mass is the sum of the spring force, the damping force, and any external force. Show more…
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