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An 80-lb weight is attached to the lower end of a coil spring suspended from the ceiling and having a spring constant of 2.6 lb / ft. The resistance in the spring-mass system is numerically equal to the instantaneous velocity. At t=0 the weight is set in motion from a position 1 ft above its equilibrium position by giving it an upward velocity of 2 ft / sec. At the end of a seconds, determine whether the mass is above or below the equilibrium position and by what distance. Att=r seconds, is the mass above or below the equilibrium position? KA. The mass is above the equilibrium position. *B. The mass is below the equilibrium position. By what distance is the mass displaced from the equilibrium position at t =n seconds? y(7) = 1 ft %3D

An 80-lb weight is attached to the lower end of a coil spring suspended from the ceiling and having a spring constant of 2.6 lb / ft. The resistance in the spring-mass system is numerically equal to the instantaneous velocity. At t=0 the weight is set in motion from a position 1 ft above its equilibrium position by giving it an upward velocity of 2 ft / sec. At the end of a seconds, determine whether the mass is above or below the equilibrium position and by what distance. Att=r seconds, is the mass above or below the equilibrium position? KA. The mass is above the equilibrium position. *B. The mass is below the equilibrium position. By what distance is the mass displaced from the equilibrium position at t =n seconds? y(7) = 1 ft %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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2nd order linear differential eqns

An 80-lb weight is attached to the lower end of a coil spring suspended from the ceiling and having a spring constant of 2.6 lb / ft. The resistance in the spring-mass system is numerically equal to the instantaneous velocity. At t = 0 the weight is set in motion from a position 1 ft above its equilibrium position by giving it an upward velocity of 2 ft/ sec. At the end of a seconds, determine whether the mass is above or below the equilibrium position and by what distance. Att=r seconds, is the mass above or below the equilibrium position? KA. The mass is above the equilibrium position. B. The mass is below the equilibrium position. By what distance is the mass displaced from the equilibrium position at t=n seconds? y(x) = 1 ft %3D
Transcribed Image Text:An 80-lb weight is attached to the lower end of a coil spring suspended from the ceiling and having a spring constant of 2.6 lb / ft. The resistance in the spring-mass system is numerically equal to the instantaneous velocity. At t = 0 the weight is set in motion from a position 1 ft above its equilibrium position by giving it an upward velocity of 2 ft/ sec. At the end of a seconds, determine whether the mass is above or below the equilibrium position and by what distance. Att=r seconds, is the mass above or below the equilibrium position? KA. The mass is above the equilibrium position. B. The mass is below the equilibrium position. By what distance is the mass displaced from the equilibrium position at t=n seconds? y(x) = 1 ft %3D
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