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A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32 ft/sec from 1 ft above the equilibrium position. Assume that the mass does not experience any retarding force and the spring motion is not influenced by an external driving force which is a function of time. Assume g-32 ft/s2. If x is the displacement from the equilibrium position in feet and following the convention that downwards is positive, the appropriate initial condition is

A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32 ft/sec from 1 ft above the equilibrium position. Assume that the mass does not experience any retarding force and the spring motion is not influenced by an external driving force which is a function of time. Assume g-32 ft/s2. If x is the displacement from the equilibrium position in feet and following the convention that downwards is positive, the appropriate initial condition is

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section3.3: Vectors In The Plane
Problem 11ECP
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A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32 ft/sec from 1 ft above the equilibrium position. Assume that the mass does not experience any retarding force and the spring motion is not influenced by an external driving force which is a function of time. Assume g-32 ft/s2. If x is the displacement from the equilibrium position in feet and following the convention that downwards is positive, the appropriate initial condition is O x(0) = 0, x'(0) = 0 ft/s O x(0) = 1 ft, x'(0) = 0 ft/s O x(0) = 1 ft, x'(0) = -32 ft/s O x(0) = -1 ft, x'(0) = 32 ft/s
Transcribed Image Text:A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32 ft/sec from 1 ft above the equilibrium position. Assume that the mass does not experience any retarding force and the spring motion is not influenced by an external driving force which is a function of time. Assume g-32 ft/s2. If x is the displacement from the equilibrium position in feet and following the convention that downwards is positive, the appropriate initial condition is O x(0) = 0, x'(0) = 0 ft/s O x(0) = 1 ft, x'(0) = 0 ft/s O x(0) = 1 ft, x'(0) = -32 ft/s O x(0) = -1 ft, x'(0) = 32 ft/s
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