Suppose that the mass in a mass-spring-dashpot system with m = 10, c= 7, and k = 1 is set in motion with x(0) = 0 and x'(0) = 3. (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. to 0 t 10 20 30 40 50 N
Suppose that the mass in a mass-spring-dashpot system with m = 10, c= 7, and k = 1 is set in motion with x(0) = 0 and x'(0) = 3. (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. to 0 t 10 20 30 40 50 N
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Transcribed Image Text:Suppose that the mass in a mass-spring-dashpot
system with m= 10, c = 7, and k = 1 is set in motion
with x(0) = 0 and x'(0) = 3.
(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.
to
0
t
10 20 30 40 50
N
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