Suppose that the mass in a mass-spring-dashpot system with m = 20, c = 27 and k = 9 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. AX 5- 2 -8 LO 10

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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a) x(t) = __

b) The mass moves ____ units to the right before turning back.

Suppose that the mass in a mass-spring-dashpot
system with m = 20, c = 27 and k = 9 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.
0
X
2
T
4
-co
-∞o
T
6 8
t
10
Transcribed Image Text:Suppose that the mass in a mass-spring-dashpot system with m = 20, c = 27 and k = 9 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. 0 X 2 T 4 -co -∞o T 6 8 t 10
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