A mass weighing l16 pounds stretches a spring feet. The mass is initially released from rest from a point 2 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 if the mass is driven by an external force equal to f(t) = 10 cos 31.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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29. Amass weighing 16 pounds stretches a spring feet. The
mass is initially released from rest from a point 2 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 if the mass is
driven by an external force equal to f(t) = 10 cos 3t.
Transcribed Image Text:29. Amass weighing 16 pounds stretches a spring feet. The mass is initially released from rest from a point 2 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 if the mass is driven by an external force equal to f(t) = 10 cos 3t.
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