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A 96 lb weight stretches a spring 3.2 ft in equilibrium. It is attached to a dashpot with damping coefficient 18 lb-sec/ft. The weight is initially displaced 15 inches below equilibrium and given a downward velocity of 12 ft/sec. Assume that downward is the positive direction. Find its displacement fort>0.

A 96 lb weight stretches a spring 3.2 ft in equilibrium. It is attached to a dashpot with damping coefficient 18 lb-sec/ft. The weight is initially displaced 15 inches below equilibrium and given a downward velocity of 12 ft/sec. Assume that downward is the positive direction. Find its displacement fort>0.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A 96 lb weight stretches a spring 3.2 ft in equilibrium. It is attached to a dashpot with damping coefficient 18 lb-sec/ft. The weight is initially displaced 15 inches below equilibrium and given a downward velocity of 12 ft/sec. Assume that downward is the positive direction. Find its displacement for t> 0.
Transcribed Image Text:A 96 lb weight stretches a spring 3.2 ft in equilibrium. It is attached to a dashpot with damping coefficient 18 lb-sec/ft. The weight is initially displaced 15 inches below equilibrium and given a downward velocity of 12 ft/sec. Assume that downward is the positive direction. Find its displacement for t> 0.
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