A mass of 1.75 kg stretches a spring 0.1 m. The mass is in a medium that exerts a viscous resistance of 36 N when the mass has a velocity of 6 . The viscous resistance is proportional to the speed of the object. m S Suppose the object is displaced an additional 0.03 m and released. m Find an function to express the object's displacement from the spring's equilibrium position, in m after t seconds. Let positive displacements indicate a stretched spring, and use 9.8 as the acceleration due to $2 gravity. u(t) = Submit Question

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
A mass of 1.75 kg stretches a spring 0.1 m. The mass is in a medium that exerts a viscous resistance of 36
N when the mass has a velocity of 6 . The viscous resistance is proportional to the speed of the object.
m
S
Suppose the object is displaced an additional 0.03 m and released.
m
Find an function to express the object's displacement from the spring's equilibrium position, in m after t
seconds. Let positive displacements indicate a stretched spring, and use 9.8 as the acceleration due to
$2
gravity.
u(t) =
Submit Question
Transcribed Image Text:A mass of 1.75 kg stretches a spring 0.1 m. The mass is in a medium that exerts a viscous resistance of 36 N when the mass has a velocity of 6 . The viscous resistance is proportional to the speed of the object. m S Suppose the object is displaced an additional 0.03 m and released. m Find an function to express the object's displacement from the spring's equilibrium position, in m after t seconds. Let positive displacements indicate a stretched spring, and use 9.8 as the acceleration due to $2 gravity. u(t) = Submit Question
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