A weight of 10 lb stretches a spring 6 inches. The weight is drawn 4 inches below its equilibrium position and given an initial velocity of 4in/sec. An identical spring has a different weight attached to it. This second weight is drawn down from its equilibrium position a distance equal to the amplitude of the first motion and then given an initial velocity of 3ft/sec. If the amplitude of the second motion is twice that of the first, what weight is attached to the second spring? The value of g is 32 ft/s².

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A weight of 10 lb stretches a spring 6 inches. The weight is drawn 4 inches below its
equilibrium position and given an initial velocity of 4in/sec. An identical spring has a
different weight attached to it. This second weight is drawn down from its
equilibrium position a distance equal to the amplitude of the first motion and then
given an initial velocity of 3ft/sec. If the amplitude of the second motion is twice that
of the first, what weight is attached to the second spring? The value of g is 32
ft/s².
Transcribed Image Text:A weight of 10 lb stretches a spring 6 inches. The weight is drawn 4 inches below its equilibrium position and given an initial velocity of 4in/sec. An identical spring has a different weight attached to it. This second weight is drawn down from its equilibrium position a distance equal to the amplitude of the first motion and then given an initial velocity of 3ft/sec. If the amplitude of the second motion is twice that of the first, what weight is attached to the second spring? The value of g is 32 ft/s².
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