A 5 kilogram mass is attached to a spring whose constant is 2.45 N/m, and the entire system is submerged in a liquid that imparts a damping force numerically equal to 7 times the instantaneous velocity. Determil the equation of motion if the mass is initially released with a downward velocity of 2 m/sec from 13 met above equilibrium. x (t) -0.7t = -13e - 7.1te -0.7t X

University Physics Volume 1
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter15: Oscillations
Section: Chapter Questions
Problem 55P: Suppose you have a 0.750-kg object on a horizontal surface connected to a spring that has a force...
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A 5 kilogram mass is attached to a spring whose constant is 2.45 N/m, and the entire system is submerged
in a liquid that imparts a damping force numerically equal to 7 times the instantaneous velocity. Determine
the equation of motion if the mass is initially released with a downward velocity of 2 m/sec from 13 meters
above equilibrium.
x(t)
-0.7t
-13e
- 7.1te
-0.7t
X
Transcribed Image Text:A 5 kilogram mass is attached to a spring whose constant is 2.45 N/m, and the entire system is submerged in a liquid that imparts a damping force numerically equal to 7 times the instantaneous velocity. Determine the equation of motion if the mass is initially released with a downward velocity of 2 m/sec from 13 meters above equilibrium. x(t) -0.7t -13e - 7.1te -0.7t X
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