Suppose that the mass in a mass-spring-dashpot system with m = 20, c = 23 and k = 6 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. (a) x(t) = (Type an exact answer.) 0- 0 2 4 6 8 10
Suppose that the mass in a mass-spring-dashpot system with m = 20, c = 23 and k = 6 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. (a) x(t) = (Type an exact answer.) 0- 0 2 4 6 8 10
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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Transcribed Image Text:units to the right before turning back.
(b) The mass moves
(Round to four decimal places as needed.)
Transcribed Image Text:Suppose that the mass in a mass-spring-dashpot system with m = 20, c = 23
and k = 6 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.
(a) x(t) =
(Type an exact answer.)
0
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