A spring with a 2-kg mass and a damping constant 8 can be held stretched 1 meters beyond its natural length by a force of 3 newtons. Suppose the spring is stretched 2 meters beyond its natural length and then released with zero velocity. In the notation of the text, what is the value c² - 4mk? m²kg²/sec² Find the position of the mass, in meters, after t seconds. Your answer should be a function of the variable t of the form c₁eat + c₂eßt where α = (the larger of the two) B= (the smaller of the two) C1 =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A spring with a 2-kg mass and a damping constant 8 can be held stretched 1
meters beyond its natural length by a force of 3 newtons. Suppose the spring is stretched 2
meters beyond its natural length and then released with zero velocity. In the notation of the
text, what is the value c² - 4mk?
m²kg²/sec² Find the
position of the mass, in meters, after t seconds. Your answer should be a function of the
variable t of the form c₁eat + c₂eßt where
α=
(the larger of the two)
B =
(the smaller of the two)
C1 =
=
Transcribed Image Text:A spring with a 2-kg mass and a damping constant 8 can be held stretched 1 meters beyond its natural length by a force of 3 newtons. Suppose the spring is stretched 2 meters beyond its natural length and then released with zero velocity. In the notation of the text, what is the value c² - 4mk? m²kg²/sec² Find the position of the mass, in meters, after t seconds. Your answer should be a function of the variable t of the form c₁eat + c₂eßt where α= (the larger of the two) B = (the smaller of the two) C1 = =
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