ninaaforever
ninaaforever
12.03.2020 • 
Mathematics

A mass of 1 slug is attached to a spring whose constant is 5 lb/ft. Initially, the mass is released 1 foot below the equilibrium position with a downward velocity of 7 ft/s, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 2 times the instantaneous velocity.

Find the equation of motion if the mass is driven by an external force equal to f(t)=12cos2t+3sin2t.

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