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A 1-kg mass is attached to a spring whose constant is 16N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 10 times the instantaneous velocity. Deterrmine the equation of motion if the mass is initially released from rest from a point 1 m below the equilibrium position. 3 1 u(t) = e -2t _ e -8t 4 4 -2t u(t) = 1 e-8t e 1 u(t) = e-2t + e-8t 4 u(t) = - 1 e-8t

A 1-kg mass is attached to a spring whose constant is 16N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 10 times the instantaneous velocity. Deterrmine the equation of motion if the mass is initially released from rest from a point 1 m below the equilibrium position. 3 1 u(t) = e -2t _ e -8t 4 4 -2t u(t) = 1 e-8t e 1 u(t) = e-2t + e-8t 4 u(t) = - 1 e-8t

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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A 1-kg mass is attached to a spring whose constant is 16N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 10 times the instantaneous velocity. Deterrmine the equation of motion if the mass is initially released from rest from a point 1 m below the equilibrium position. 1 -8t e -2t u(t) = 4 -2t 1 e-8t 1 -8t е -2t 4 ult) = - 3e 1 -8t -2t +
Transcribed Image Text:A 1-kg mass is attached to a spring whose constant is 16N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 10 times the instantaneous velocity. Deterrmine the equation of motion if the mass is initially released from rest from a point 1 m below the equilibrium position. 1 -8t e -2t u(t) = 4 -2t 1 e-8t 1 -8t е -2t 4 ult) = - 3e 1 -8t -2t +
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