A 1-kilogram mass is attached to a spring whose constant is 14 N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 9 times the instantaneous velocity. Determine the equations of motion if the following is true. (b) the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 13 m/s

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Answer: x(t) = (11/5)e-7t - (6/5)e-2t meters

A 1-kilogram mass is attached to a spring whose constant is 14 N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 9 times the instantaneous velocity. Determine the equations of
motion if the following is true.
(b) the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 13 m/s
Transcribed Image Text:A 1-kilogram mass is attached to a spring whose constant is 14 N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 9 times the instantaneous velocity. Determine the equations of motion if the following is true. (b) the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 13 m/s
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