2. (UC-3) A mass weighing 64 pounds stretches a spring 3.2 feet. The mass is initially released from rest from a point 4 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 8 times the instantaneous velocity. Use the method of undetermined coefficients to find the equation of motion if the mass is driven by an external force equal to f(t) = 37 cos(3t).

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2. (UC-3) A mass weighing 64 pounds stretches a spring 3.2 feet. The mass is initially
released from rest from a point 4 feet below the equilibrium position, and the subsequent
motion takes place in a medium that offers a damping force that is numerically equal to
8 times the instantaneous velocity.
Use the method of undetermined coefficients to find the equation of motion if the mass
is driven by an external force equal to f(t) = 37 cos(3t).
Transcribed Image Text:2. (UC-3) A mass weighing 64 pounds stretches a spring 3.2 feet. The mass is initially released from rest from a point 4 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 8 times the instantaneous velocity. Use the method of undetermined coefficients to find the equation of motion if the mass is driven by an external force equal to f(t) = 37 cos(3t).
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