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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. (a) the mass is initially released from rest from a point 1 meter below the equilibrium position -7t x(t) = x x(t) = m (b) the mass s initially released from a point 1 meter below the equilibrium position with an upward velocity of 12 m/s 39 -7r 34 -2t 5 m

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. (a) the mass is initially released from rest from a point 1 meter below the equilibrium position -7t x(t) = x x(t) = m (b) the mass s initially released from a point 1 meter below the equilibrium position with an upward velocity of 12 m/s 39 -7r 34 -2t 5 m

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-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. (a) the mass is initially released from rest from a point 1 meter below the equilibrium position -2t x(t) = 7-7t 2 5 x(t) = 5⁰ (b) the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 12 m/s 39 -7t 34 -2t e 5 5 X e m X m
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. (a) the mass is initially released from rest from a point 1 meter below the equilibrium position -2t x(t) = 7-7t 2 5 x(t) = 5⁰ (b) the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 12 m/s 39 -7t 34 -2t e 5 5 X e m X m
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