A spring with a 5-kg mass and a damping constant 15 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? 145 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 = (-15+sqrt145)/10 (the larger of the two) B= (-15-sqrt145)/10 (the smaller of the two) C1 = 15(sqrt145)+145 C₂ -143+15(sqrt145)

A spring with a 5-kg mass and a damping constant 15 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? 145 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 = (-15+sqrt145)/10 (the larger of the two) B= (-15-sqrt145)/10 (the smaller of the two) C1 = 15(sqrt145)+145 C₂ -143+15(sqrt145)

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

5th Edition

ISBN:9781305084766

Author:Saeed Moaveni

Publisher:Saeed Moaveni

Chapter15: Computational Engineering Tools Matlab

Section: Chapter Questions

Problem 14P

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