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a damping constant 1

a damping constant 1

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A spring with a 9-kg mass and a damping constant 16 can be held stretched 2 meters beyond its natural length by a force of 8 newtons. Suppose the spring is stretched 4 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 = ß = C1 = C₂ = (the larger of the two) (the smaller of the two)
Transcribed Image Text:A spring with a 9-kg mass and a damping constant 16 can be held stretched 2 meters beyond its natural length by a force of 8 newtons. Suppose the spring is stretched 4 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 = ß = C1 = C₂ = (the larger of the two) (the smaller of the two)
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