Quiz 6 - Fall 2008 Math 285 Quiz 6 Oct 22 Name f $'V.Q.J~ If you cannot complete a problem(perhaps because you forgot a formula but you think you

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Unformatted text preview: Fall 2008 Math 285 Quiz 6: Oct 22 Name: ;\ f\. $ '-'V...Q....J~' If you cannot complete a problem (perhaps because you forgot a formula) but you think you know how, please describe. Correct methods will receive partial "redits. 1. An object weighing 16 pounds stretches a sprin~ inc~)~h-: ~ass is initially released trom re~!Jrom a point 6 inches above the equilibnum position. Assuming that the mass undergoes free undamped motion whose motion obeys the DE of form mx" + k:J: = O. (a) write the :tial appropriate value ~~)1em corresponding to the given problem (that's DE with coefficients with initial conditions). ::0") W ~ .. -z "=-. l6 \~~ :M.. 3'( -t~~~ 0 -+- M ~ ~ )lv ~ 'X. '+ <i ">< :=. 0 ( 0 r- rx ("T ? 60< { :: 0 ';K ( 0')-::--1 L x: (o)~ 0 (b) Find the equation of motion, i.e, solve the TVP, I)( ( L) -:: L-\ GoS rx ( 0) ~ I J'il t L.\ _ - 1 ' L 0 ~ c.. '- ),1-\ E 1: 'X (0)= LL'~"~ -:::, L1. ~o So )( l \.) -::2, If A (a) t = Co ~ ~q~ L ~ 2 ~ C-os (+ J(; L ) = (~6 ~) and AB B (!1 -2 then find the following product if it exists, ~) (b) BA l"4--t ?.. - '" l ( S- ~ [" -'"0\ ' 0 -\ ~4- T D ~ 5 -t O 0 potentially H'=mg F useful formulas = ks (Hooke's Law) ...
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This note was uploaded on 09/19/2009 for the course MATH 285 taught by Professor Satoko during the Spring '08 term at Nevada.

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