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9. Assume that the system described by the equation my" + y + ky = 0 is either critically damped or verdamped. Show that the mass can pass through the equilibrium position at most once, regardless of the initial conditions. Jint: Dotorming all possible values of + for which

9. Assume that the system described by the equation my" + y + ky = 0 is either critically damped or verdamped. Show that the mass can pass through the equilibrium position at most once, regardless of the initial conditions. Jint: Dotorming all possible values of + for which

Linear Algebra: A Modern Introduction
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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19. Assume that the system described by the equation my" + y + ky = 0 is either critically damped or overdamped. Show that the mass can pass through the equilibrium position at most once, regardless of the initial conditions. Hint: Determine all possible values of t for which y = 0.
Transcribed Image Text:19. Assume that the system described by the equation my" + y + ky = 0 is either critically damped or overdamped. Show that the mass can pass through the equilibrium position at most once, regardless of the initial conditions. Hint: Determine all possible values of t for which y = 0.
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