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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

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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