A 16-lb weight is attached to the lower end of a coil spring sus-pended from the ceiling and having a spring constant of 1 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 2 ft below its equilibrium position by giving it a downward velocity of 2 ft /sec. At the end of p sec, determine whether the mass is above or below the equilibrium position and by what distance.
A 16-lb weight is attached to the lower end of a coil spring sus-pended from the ceiling and having a spring constant of 1 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 2 ft below its equilibrium position by giving it a downward velocity of 2 ft /sec. At the end of p sec, determine whether the mass is above or below the equilibrium position and by what distance.
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 16-lb weight is attached to the lower end of a coil spring sus-pended from the ceiling and having a spring constant of 1 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 2 ft below its equilibrium position by giving it a downward velocity of 2 ft /sec. At the end of p sec, determine whether the mass is above or below the equilibrium position and by what distance.
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