A spring with a 8-kg mass and a damping constant 2 can be held stretched 0.5 meters beyond its natural length by a force of 1.5 newtons. Suppose the spring is stretched 1 meters beyond its natura length and then released with zero velocity. In the notation of the text, what is the value c² - 4mk? m°kg/sec? help (numbers) Find the position of the mass, in meters, after t seconds. Your answer should be a function of the variable t with the general form cjet cos(8t) + cze" sin(ôt) * help (numbers) a = B= * help (numbers) 2 help (numbers) 8 = - help (numbers) C1 = 2 help (numbers) 2 help (numbers) C2 =

A spring with a 8-kg mass and a damping constant 2 can be held stretched 0.5 meters beyond its natural length by a force of 1.5 newtons. Suppose the spring is stretched 1 meters beyond its natura length and then released with zero velocity. In the notation of the text, what is the value c² - 4mk? m°kg/sec? help (numbers) Find the position of the mass, in meters, after t seconds. Your answer should be a function of the variable t with the general form cjet cos(8t) + cze" sin(ôt) * help (numbers) a = B= * help (numbers) 2 help (numbers) 8 = - help (numbers) C1 = 2 help (numbers) 2 help (numbers) C2 =

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A spring with a 4-kg mass and a damping constant 15 can be held stretched 1.5 meters beyond its natural length by a force of 6 newtons. Suppose the spring is stretched 3 meters beyond its natural length and then released with zero velocity. In the notation of the text, what is the value c2 – 4mk? m²kgʻ/sec? Find the position of the mass, in meters, after t seconds. Your answer should be a function of the variable t of the form Cjet + czeft where a = (the larger of the two) ß = (the smaller of the two) C2 =