Thanks! An object with mass 1 slug is attached to a spring whose spring constant

Question

Thanks!

An object with mass 1 slug is attached to a spring whose spring constant is 2 lb/ft. The object moves in a medium that offers a damping force that is equal to twice the instantaneous velocity, so that the damping constant is 2. Assume that the position of the object a time t seconds is y(t) feet below equilibrium. The object is initially released from a point 1 foot above the equilibrium position with a downward speed of 2 ft/sec. Find y(t). Write y(t) in the form y(t) = Ae-t sin(t - phi), where the phase angle phi is in radians. Determine the time in seconds when the object first passes through the equilibrium position.

Explanation / Answer

1. y(t) - sint 2. y(t) =Ae(t-15) 3. 15 sec. Hope this helps!

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