A mass weighing 16 pounds stretches a spring feet. The mass is initially released from rest from a point 3 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 2/1/2 the instantaneous velocity. Find the equation of motion x(t) if the mass is driven by an external force equal to f(t) = 10 cos(3t). (Use g = 32 ft/s2 for the acceleration due to gravity.)

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Chapter1: Units, Trigonometry. And Vectors
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A mass weighing 16 pounds stretches a spring
force that is numerically equal to
x(t) =
8
feet. The mass is initially released from rest from a point 3 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping
12/23 the instantaneous velocity. Find the equation of motion x(t) if the mass is driven by an external force equal to f(t) = 10 cos(3t). (Use g = 32 ft/s² for the acceleration due to gravity.)
ft
Transcribed Image Text:A mass weighing 16 pounds stretches a spring force that is numerically equal to x(t) = 8 feet. The mass is initially released from rest from a point 3 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping 12/23 the instantaneous velocity. Find the equation of motion x(t) if the mass is driven by an external force equal to f(t) = 10 cos(3t). (Use g = 32 ft/s² for the acceleration due to gravity.) ft
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