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1. A spring with a mass of 2 kg requires a force of 6N to stretch the spring 0.5m beyond its natural length. There is a damping force that is directly proportional to 14 times the instantaneous velocity. Initially, the spring is stretched 1m be- low equilibrium and released from rest. Use Laplace Transforms to find the equation of motion for the mass on the spring at any time t.

1. A spring with a mass of 2 kg requires a force of 6N to stretch the spring 0.5m beyond its natural length. There is a damping force that is directly proportional to 14 times the instantaneous velocity. Initially, the spring is stretched 1m be- low equilibrium and released from rest. Use Laplace Transforms to find the equation of motion for the mass on the spring at any time t.

Advanced Engineering Mathematics
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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1. A spring with a mass of 2 kg requires a force of 6N to stretch the spring 0.5m beyond its natural length. There is a damping force that is directly proportional to 14 times the instantaneous velocity. Initially, the spring is stretched 1m be- low equilibrium and released from rest. Use Laplace Transforms to find the equation of motion for the mass on the spring at any time t.
Transcribed Image Text:1. A spring with a mass of 2 kg requires a force of 6N to stretch the spring 0.5m beyond its natural length. There is a damping force that is directly proportional to 14 times the instantaneous velocity. Initially, the spring is stretched 1m be- low equilibrium and released from rest. Use Laplace Transforms to find the equation of motion for the mass on the spring at any time t.
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