A mass of 1.25 kg stretches a spring 0.08 m. The mass is in a medium that exerts a viscous resistance of 45 m N when the mass has a velocity of 6. The viscous resistance is proportional to the speed of the object. S Suppose the object is displaced an additional 0.05 m and released. m Find an function to express the object's displacement from the spring's natural position, in m after t seconds. Let positive displacements indicate a stretched spring, and use 9.8 as the acceleration due to s2 gravity. u(t) =
A mass of 1.25 kg stretches a spring 0.08 m. The mass is in a medium that exerts a viscous resistance of 45 m N when the mass has a velocity of 6. The viscous resistance is proportional to the speed of the object. S Suppose the object is displaced an additional 0.05 m and released. m Find an function to express the object's displacement from the spring's natural position, in m after t seconds. Let positive displacements indicate a stretched spring, and use 9.8 as the acceleration due to s2 gravity. u(t) =
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 mass of 1.25 kg stretches a spring 0.08 mm. The mass is in a medium that exerts a viscous resistance of 45 NN when the mass has a velocity of 6 msms. The viscous resistance is proportional to the speed of the object.
Suppose the object is displaced an additional 0.05 mm and released.
Find an function to express the object's displacement from the spring's natural position, in mm after tt seconds. Let positive displacements indicate a stretched spring, and use 9.8 ms2ms2 as the acceleration due to gravity.
Transcribed Image Text:A mass of 1.25 kg stretches a spring 0.08 m. The mass is in a medium that exerts a viscous resistance of 45
m
N when the mass has a velocity of 6. The viscous resistance is proportional to the speed of the object.
S
Suppose the object is displaced an additional 0.05 m and released.
m
Find an function to express the object's displacement from the spring's natural position, in m after t
seconds. Let positive displacements indicate a stretched spring, and use 9.8 as the acceleration due to
82
gravity.
u(t) =
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