A 160 pound object is suspended froma spring The spring stretches an extra 80 inches with the weight attached. The spring-and-mass system is then sub in a viscous fluid that exerts 18 pounds of force when the mass has velocity 2 ftisec,

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A 160 pound object is suspended from a spring The spring stretches an extra 80 inches with the weight attached. The spring-and-mass system is then submerged
in a viscous fluid that exerts 18 pounds of force when the mass has velocity 2 fisec.
What is the differential equation for this spring-and-mass system? (Use u as the dependent varlable)
This system is?
For what value of y would the system be critically damped?
(if the given system is already critically damped, enter the given value for y)
Transcribed Image Text:A 160 pound object is suspended from a spring The spring stretches an extra 80 inches with the weight attached. The spring-and-mass system is then submerged in a viscous fluid that exerts 18 pounds of force when the mass has velocity 2 fisec. What is the differential equation for this spring-and-mass system? (Use u as the dependent varlable) This system is? For what value of y would the system be critically damped? (if the given system is already critically damped, enter the given value for y)
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