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A spring is such that a 4-lb weight stretches the spring 0.40 ft. The 4-lb weight attached to the spring (suspended from a fixed support) and the system is allowed t reach equilibrium. Then the weight is started from equilibrium position with a imparted upward velocity of 2 ft/sec. Assume that the motion takes place in a mediur that furnishes a retarding force of magnitude numerically equal to the speed, in fe per second, of the moving weight. Determine the position of the weight as a functio of time.

A spring is such that a 4-lb weight stretches the spring 0.40 ft. The 4-lb weight attached to the spring (suspended from a fixed support) and the system is allowed t reach equilibrium. Then the weight is started from equilibrium position with a imparted upward velocity of 2 ft/sec. Assume that the motion takes place in a mediur that furnishes a retarding force of magnitude numerically equal to the speed, in fe per second, of the moving weight. Determine the position of the weight as a functio of time.

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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1. A spring is such that a 4-1b weight stretches the spring 0.40 ft. The 4-1b weight is attached to the spring (suspended from a fixed support) and the system is allowed to reach equilibrium. Then the weight is started from equilibrium position with an imparted upward velocity of 2 ft/sec. Assume that the motion takes place in a medium that furnishes a retarding force of magnitude numerically equal to the speed, in feet per second, of the moving weight. Determine the position of the weight as a function of time.
Transcribed Image Text:1. A spring is such that a 4-1b weight stretches the spring 0.40 ft. The 4-1b weight is attached to the spring (suspended from a fixed support) and the system is allowed to reach equilibrium. Then the weight is started from equilibrium position with an imparted upward velocity of 2 ft/sec. Assume that the motion takes place in a medium that furnishes a retarding force of magnitude numerically equal to the speed, in feet per second, of the moving weight. Determine the position of the weight as a function of time.
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