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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 ~ Cos (+ J(; L ) = (~6 ~) and
AB B (!1 2 then find the following product if it exists, ~) (b) BA l"4t ?..  '" 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.
 Spring '08
 SATOKO
 Math, Differential Equations, Equations

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