x A spring with a 6-kg mass and a damping constant 12 can be held stretched 2.5 meters beyond its natural length by a force of 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? 96 mkg/sec² help (numbers) Find the position of the mass, in meters, after t seconds. Your answer should be a function of the variable t of the form cje +ce where a-1+(the larger of the two) help (numbers), 1-✓ 8--1- (the smaller of the two) help (numbers) help (numbers) 5(-3+√6) 2√6 help (numbers) > Gauth

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 58AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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A spring with a 6-kg mass and a damping constant 12 can be held stretched 2.5 meters beyond its natural length by a force of 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?
96 mkg/sec² help (numbers)
Find the position of the mass, in meters, after t seconds. Your answer should be a function of the variable t of the form cje +ce where
a-1+(the larger of the two) help (numbers),
1-✓
8--1-
(the smaller of the two) help (numbers)
help (numbers)
5(-3+√6)
2√6
help (numbers)
> Gauth
Transcribed Image Text:x A spring with a 6-kg mass and a damping constant 12 can be held stretched 2.5 meters beyond its natural length by a force of 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? 96 mkg/sec² help (numbers) Find the position of the mass, in meters, after t seconds. Your answer should be a function of the variable t of the form cje +ce where a-1+(the larger of the two) help (numbers), 1-✓ 8--1- (the smaller of the two) help (numbers) help (numbers) 5(-3+√6) 2√6 help (numbers) > Gauth
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