A spring with a 9-kg mass and a damping constant 3 can be held stretched 1.5 metersbeyond its natural length by a force of 3 newtons. Suppose the spring is stretched 3 metersbeyond its natural length and then released with zero velocity.In the notation of the text, what is the value c² - 4mk?m2kg 2 /sec² help (numbers)Find the position of the mass, in meters, after t seconds. Your answer should be a functionof the variable t with the general form c₁eº cos(ßt) + c₂e¼ sin(dt)α =help (numbers)B =help (numbers)r =help (numbers)8:=help (numbers)C1=help (numbers)C2help (numbers)Book: Section 2.4 of Notes on Diffy Qs

Answered: Image /qna-images/answer/d56891bb-a061-49da-9a2a-22602c6b164d.jpg

Answered: A spring with a 9-kg mass and a damping…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 18EQ

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A spring with a 2-kg mass and a damping constant 2 can be held stretched 2.5 meters beyond its natural length by a force of 7.5 newtons. Suppose the spring is stretched 5 meters beyond its natural length and then released with zero velocity, In the notation of the text, what is the value c² - 4mk? -20 m²kg²/sec² 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 C₁eat cos(pt) + c₂ert sin(8t) α= -1/2 B = sqrt5 Y = -1/2 8 = sqrt5 C1 = 5 C₂ = sqrt5/2
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Please don't provide handwritten solution ....
A spring with a 2-kg mass and a damping constant 2 can be held stretched 2.5 meters beyond its natural length by a force of 7.5 newtons. Suppose the spring is stretched 5 meters beyond its natural length and then released with zero velocity, In the notation of the text, what is the value c² 4mk? 2 m²kg²/sec² 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 cos(ßt) + c₂ert sin(8t) eat C1 α= ß = Y = 8 = - C1 = C₂ =

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