23F09q17 - C 1 and C 2 in terms of where needed(b How large...

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Math 3323 - Fall 2009 Name____________________ Quiz #17 Due Friday, October 23 rd , at the beginning of class A certain critically damped mass-spring system is governed by the initial value problem !! u + 8 ! u + 16 u = 0, u (0) = " 6, ! u (0) = # 0 . (a) Find the solution to the initial value problem, writing the constants
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Unformatted text preview: C 1 and C 2 in terms of ! where needed. (b) How large must the initial velocity be to ensure that the mass will cross the equilibrium position in positive time? (Find either the minimum value that works or the maximum value that doesn’t work.)...
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This note was uploaded on 09/30/2011 for the course PHYSICS 1410 taught by Professor Falco during the Spring '08 term at Texas State.

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