Suppose that the mass in a mass-spring-dashpot system with m=20, c-19 and k 3 is set in motion with x(0) = 0 and x'(0)-5. (a) Find the position function x(t) and show that its graph looks as indicated in the figure. (b) Find how far the mass moves to the right before starting back toward the origin. (a) x(1) - (Type an exact answer.)

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter5: Newton's Laws Of Motion
Section: Chapter Questions
Problem 44PQ: A student working on a school project modeled a trampoline as a spring obeying Hookes law and...
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Suppose that the mass in a mass-spring-dashpot system with m=20, c= 19 and k 3 is set in motion with x(0)= 0 and
x'(0)=5. (a) Find the position function x(t) and show that its graph looks as indicated in the figure, (b) Find how far the mass
moves to the right before starting back toward the origin.
(a) x(1) -
(Type an exact answer.)
0
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Q
ods
Q
Transcribed Image Text:if Suppose that the mass in a mass-spring-dashpot system with m=20, c= 19 and k 3 is set in motion with x(0)= 0 and x'(0)=5. (a) Find the position function x(t) and show that its graph looks as indicated in the figure, (b) Find how far the mass moves to the right before starting back toward the origin. (a) x(1) - (Type an exact answer.) 0 10 20 30 40 50 Q ods Q
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