A mass of 3 kg is attached with a spring constant of 12. I released the mass from a point of 0.1 m above equilibrium with a downward velocity of 0.3 m/s. The spring is immersed in a liquid that imparts a amping force that is 6 times the instantaneous velocity. Set up the ODE that models this situation, and plve it to find the equation of motion.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter12: Coupled Oscillations
Section: Chapter Questions
Problem 12.7P
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A mass of 3 kg is attached with a spring constant of 12. I released the mass from a point of 0.1
m above equilibrium with a downward velocity of 0.3 m/s. The spring is immersed in a liquid that imparts a
damping force that is 6 times the instantaneous velocity. Set up the ODE that models this situation, and
solve it to find the equation of motion.
Transcribed Image Text:A mass of 3 kg is attached with a spring constant of 12. I released the mass from a point of 0.1 m above equilibrium with a downward velocity of 0.3 m/s. The spring is immersed in a liquid that imparts a damping force that is 6 times the instantaneous velocity. Set up the ODE that models this situation, and solve it to find the equation of motion.
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