Suppose a 10-lb object stretches a spring 2.25 feet while in equilibrium. If the object is displaced an additional 1 inches and is then set in motion with an initial upward velocity of -0.7 feet per second. Use 1 slug = 32 lbs. Your answer is partially correct. (i) For what values of a, ß, and y is this spring-mass system expressed as the following initial value problem, where u (t) is the position of the object at any time t: α = , B = u" + au = 0, u (0) = ß, u' (0) = y? , Y = -0.7

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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Suppose a 10-lb object stretches a spring 2.25 feet while in equilibrium. If the object is displaced an additional 1 inches and is then set
in motion with an initial upward velocity of -0.7 feet per second. Use 1 slug = 32 lbs.
Your answer is partially correct.
(i) For what values of a, ß, and y is this spring-mass system expressed as the following initial value problem, where u (t) is the
position of the object at any time t:
α =
eTextbook and Media
,B =
=
u" + au = 0, u (0) = ß, u' (0) = y?
, Y = =
-0.7
Transcribed Image Text:Suppose a 10-lb object stretches a spring 2.25 feet while in equilibrium. If the object is displaced an additional 1 inches and is then set in motion with an initial upward velocity of -0.7 feet per second. Use 1 slug = 32 lbs. Your answer is partially correct. (i) For what values of a, ß, and y is this spring-mass system expressed as the following initial value problem, where u (t) is the position of the object at any time t: α = eTextbook and Media ,B = = u" + au = 0, u (0) = ß, u' (0) = y? , Y = = -0.7
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