Problem 8: ( A 0.5 kg mass stretches a spring .098 m. The mass starts from equilibrium with the downward velocity of 16 m/s and the subsequent motion takes place in a medium that offers a damping force numerically equal to 6 times the instantaneous velocity. Assuming that the gravitational acceleration is 9.8 m/s?, find the position of the mass at any time t >0.
Problem 8: ( A 0.5 kg mass stretches a spring .098 m. The mass starts from equilibrium with the downward velocity of 16 m/s and the subsequent motion takes place in a medium that offers a damping force numerically equal to 6 times the instantaneous velocity. Assuming that the gravitational acceleration is 9.8 m/s?, find the position of the mass at any time t >0.
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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Transcribed Image Text:TABLE OF LAPLACE TRANSFORMS
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MISCELLANEOUS FORMULAS
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Transcribed Image Text:Problem 8: ( A 0.5 kg mass stretches a spring .098 m. The mass starts from equilibrium
with the downward velocity of 16 m/s and the subsequent motion takes place in a medium that
offers a damping force numerically equal to 6 times the instantaneous velocity. Assuming that
the gravitational acceleration is 9.8 m/s?, find the position of the mass at any time t > 0.
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