#3: A 70 lb weight stretches a spring 10 feet. The weight hangs vertically from the spring and a damping force numerically equal to √5 times the instantaneous velocity acts on the system. The weight is released from 5 feet above the equilibrium position with a downward velocity of 23 ft/s. (a) Determine the time (in seconds) at which the mass passes through the equilibrium position. (b) Find the time (in seconds) at which the mass attains its extreme displacement from the equilibrium position.
#3: A 70 lb weight stretches a spring 10 feet. The weight hangs vertically from the spring and a damping force numerically equal to √5 times the instantaneous velocity acts on the system. The weight is released from 5 feet above the equilibrium position with a downward velocity of 23 ft/s. (a) Determine the time (in seconds) at which the mass passes through the equilibrium position. (b) Find the time (in seconds) at which the mass attains its extreme displacement from the equilibrium position.
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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Transcribed Image Text:#3: A 70 lb weight stretches a spring 10 feet. The weight hangs vertically from the spring and a damping force
numerically equal to √5 times the instantaneous velocity acts on the system. The weight is released from 5 feet
above the equilibrium position with a downward velocity of 23 ft/s.
(a) Determine the time (in seconds) at which the mass passes through the equilibrium position.
(b) Find the time (in seconds) at which the mass attains its extreme displacement from the equilibrium position.
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