C/G An 8 lb weight stretches a spring 1.5 inches. It is attached to a dashpot with damping constant c=8 lb-sec/ft. The weight is initially displaced 3 inches above equilibrium and given an upward velocity of 6 ft/sec. Find and graph its displacement for t > 0.

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Chapter2: Second-order Linear Odes
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● 3.
C/G An 8 lb weight stretches a spring 1.5 inches. It is attached to a dashpot with damping
constant c=8 lb-sec/ft. The weight is initially displaced 3 inches above equilibrium and given an
upward velocity of 6 ft/sec. Find and graph its displacement for t > 0.
4.
A 96 lb weight stretches a spring 3.2 ft in equilibrium. It is attached to a dashpot with damping
constant c=18 lb-sec/ft. The weight is initially displaced 15 inches below equilibrium and given a
downward velocity of 12 ft/sec. Find its displacement for t > 0.
Transcribed Image Text:● 3. C/G An 8 lb weight stretches a spring 1.5 inches. It is attached to a dashpot with damping constant c=8 lb-sec/ft. The weight is initially displaced 3 inches above equilibrium and given an upward velocity of 6 ft/sec. Find and graph its displacement for t > 0. 4. A 96 lb weight stretches a spring 3.2 ft in equilibrium. It is attached to a dashpot with damping constant c=18 lb-sec/ft. The weight is initially displaced 15 inches below equilibrium and given a downward velocity of 12 ft/sec. Find its displacement for t > 0.
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