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A 1-kilogram mass is attached to a spring whose constant is 24 N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 11 times the instantaneous velocity. Determine the equations of motion (in m) if the following situations occur. (a) the mass is initially released from rest from a point 1 meter below the equilibrium position x(t) = 3-8t 8 -3t + m 5e ge (b) the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 13 m/s x(t) = m

A 1-kilogram mass is attached to a spring whose constant is 24 N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 11 times the instantaneous velocity. Determine the equations of motion (in m) if the following situations occur. (a) the mass is initially released from rest from a point 1 meter below the equilibrium position x(t) = 3-8t 8 -3t + m 5e ge (b) the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 13 m/s x(t) = m

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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DE HW8 Q7

A 1-kilogram mass is attached to a spring whose constant is 24 N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 11 times the instantaneous velocity. Determine the equations of motion (in m) if the following situations occur. (a) the mass is initially released from rest from a point 1 meter below the equilibrium position x(t) = 3-8t 8 -3t + m 5e ge (b) the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 13 m/s x(t) = m
Transcribed Image Text:A 1-kilogram mass is attached to a spring whose constant is 24 N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 11 times the instantaneous velocity. Determine the equations of motion (in m) if the following situations occur. (a) the mass is initially released from rest from a point 1 meter below the equilibrium position x(t) = 3-8t 8 -3t + m 5e ge (b) the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 13 m/s x(t) = m
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