Suppose that the mass in a mass-spring-dashpot system with m = 20, c = 17 and k = 3 is set in motion with x(0) = 0 and x'(0) = 8. (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. 160 5 (a) x(t) = (Type an exact answer.) e + 160 M 7 ... (b) The mass moves 7.1344 units to the right before turning back. (Round to four decimal places as needed.) 8- 10 20 30 40 50

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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system with m=20, c = 17
Suppose that the mass in a mass-spring-dashpot
and k = 3 is set in motion with x(0) = 0 and x'(0) = 8. (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.
3
5
160
(a) x(t) =
7
(Type an exact answer.)
160
7
300
(b) The mass moves 7.1344 units to the right before turning back.
(Round to four decimal places as needed.)
0 10 20 30 40 50
Transcribed Image Text:system with m=20, c = 17 Suppose that the mass in a mass-spring-dashpot and k = 3 is set in motion with x(0) = 0 and x'(0) = 8. (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. 3 5 160 (a) x(t) = 7 (Type an exact answer.) 160 7 300 (b) The mass moves 7.1344 units to the right before turning back. (Round to four decimal places as needed.) 0 10 20 30 40 50
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