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A mass of 1 slug is placed on a vertical spring with constant k =...

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Basic Math

A mass of 1 slug is placed on a vertical spring with constant k = 16 lb/ft. Starting at t = 0 a force equal to f(t)= 8sin(4t) is applied to the system. Find the equation of motion if the surrounding system offers a damping force equal to 8 times the instantaneous speed. Consider x(0)=0 x'(0)=0.  differential equations

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