A mass weighing 4 pounds is attached to a spring with a spring constant of 2 lb/ft. The mass is initially released from a point 1 foot above the equilibrium position with a downward velocity of 8 ft/s. Assume that the medium offers a damping force that is numerically equal to the instantaneous velocity.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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(a) find the equation of motion

(b) Determine the time at which passes through the equilibrium position.

A mass weighing 4 pounds is attached to a spring with a spring constant of 2 lb/ft. The mass
is initially released from a point 1 foot above the equilibrium position with a downward velocity
of 8 ft/s. Assume that the medium offers a damping force that is numerically equal to the
instantaneous velocity.
Transcribed Image Text:A mass weighing 4 pounds is attached to a spring with a spring constant of 2 lb/ft. The mass is initially released from a point 1 foot above the equilibrium position with a downward velocity of 8 ft/s. Assume that the medium offers a damping force that is numerically equal to the instantaneous velocity.
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