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1
A mass weighing 16 pounds stretches a spring 3 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
the instantaneous velocity. Find the equation of motion x(t) if the
mass is driven by an external force equal to .
f(t) = 10cos (3t)
(Use
g= 32 ft/s²
for the acceleration due to gravity.)
Transcribed Image Text:1 A mass weighing 16 pounds stretches a spring 3 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 the instantaneous velocity. Find the equation of motion x(t) if the mass is driven by an external force equal to . f(t) = 10cos (3t) (Use g= 32 ft/s² for the acceleration due to gravity.)
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