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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/s?. 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) = -1 ft, x'(0) = 32 ft/s O x(0) = 1 ft, x'(0) = -32 ft/s O x(0) = 0, x'(0) = 0 ft/s O x(0) = 1 ft, x'(O) = 0 ft/s %3D

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/s?. 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) = -1 ft, x'(0) = 32 ft/s O x(0) = 1 ft, x'(0) = -32 ft/s O x(0) = 0, x'(0) = 0 ft/s O x(0) = 1 ft, x'(O) = 0 ft/s %3D

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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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/s?. 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) = -1 ft, x'(0) = 32 ft/s %3D %3D O x(0) = 1 ft, x'(0) = -32 ft/s %3D %3D O x(0) = 0, x'(0) = 0 ft/s %3D O x(0) = 1 ft, x'(0) = 0 ft/s %3D
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/s?. 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) = -1 ft, x'(0) = 32 ft/s %3D %3D O x(0) = 1 ft, x'(0) = -32 ft/s %3D %3D O x(0) = 0, x'(0) = 0 ft/s %3D O x(0) = 1 ft, x'(0) = 0 ft/s %3D
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