A 24-lb weight is attached to the lower end of a coil spring suspended from the ceiling and having a spring constant of 3 Ib/ 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 below its equilibrium position by giving it a downward velocity of 2 ft/ sec. Write an initial value problem that models the given situation.
A 24-lb weight is attached to the lower end of a coil spring suspended from the ceiling and having a spring constant of 3 Ib/ 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 below its equilibrium position by giving it a downward velocity of 2 ft/ sec. Write an initial value problem that models the given situation.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2nd order linear differential eqns - How?
![A 24-lb weight is attached to the lower end of a coil spring suspended from the ceiling and having a spring constant of 3 Ib/ 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 below its equilibrium position by giving it a downward velocity of 2 ft/ sec. Write an initial value problem that models the given situation.
Write the differential equation for the motion of the weight. The positive direction is downward.
0.75 y" + 1y' + 3 y = 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F32ac3e12-ae1c-4f9c-8855-d6c71d330ed6%2Fa84361f9-6721-41b0-95a6-56f8b4f55b58%2Filh0ya_processed.png&w=3840&q=75)
Transcribed Image Text:A 24-lb weight is attached to the lower end of a coil spring suspended from the ceiling and having a spring constant of 3 Ib/ 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 below its equilibrium position by giving it a downward velocity of 2 ft/ sec. Write an initial value problem that models the given situation.
Write the differential equation for the motion of the weight. The positive direction is downward.
0.75 y" + 1y' + 3 y = 0
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