Page 132 - Math Grade 12 (Advance)

PROEUS DARA

n:flru x'(O) = -0.70 tS"l& -0.70 = 78 'i5 B = -0.10 =- _!_
"- 10
~!HEH ru-i§Al~ ~St:Hl.Hll tni'hs g ff11Hl5n2 rul t~'l§t~ r;1H?1§~~
u 9 s u

x(t) = ~cos7t- _!_ sin7t '1
5 10
ft!JittR: 1ri1§ti5't!lSHltu m = 0.75kg iri'ibliHsl13i:!itu~nb1§t:lHhS'i3ruf~ru't!ls
/..i II ~ U CiU ~ I I ~ ii£1 ct IJ
0 0 t12f ., t::b eJ Q1 ':>
ruggg:;nm&osw g = 9.6mls~ wruc:;ng~ru~ruriQlSim1b O.lm '1 ~nn51§AlHS13ruSl
I .._.., I U l_j
m t'J1 ~ ttl 'i~ tSl glf'i t?i fruiH13QJ ng fflb~ rutsi 2lb t rug mb ruabu~ru 0.25m '1
I I U

dx
v =-
dt

2 2
d x k !l dx d dx k
+
- =- -x-- - 'i5 ~ H: - + -x = 0
dt 2 m m dt "'" dt2 m dt m
2
"
-
mb t: = n d x + 2A- + c x = o '1
dx
2
m dt2 dt
n.!rmrinut : tut?lbliaffiru o.25kg tsiub~s1ru~ t?itllim1ru~rurimsmf1b
U I I ""'I U l_j
IJ
61cm '1 gt~9mbruab t?i&Lun~b~ffiru~fit!Tltrun:hrutru~st~'l§ o.9mls '1 t?itu~ri
u "'
~
m ntliti n su ru ::n t s g't!ls n't!lb nnri 2 ~b t s t ru; f:H~ run nb't!ls nbu ru ::n sb
l:>
0
0
"'
c.l
COW"' 6V eJ I co
I I
g = 9.76mli '1 ~nru-i§Al~~Sti't!lhl9 x(t) '1
""
f1tllw : ff11§13ntitiin : mg = ks
IN iJ • I
k = mg = 0.25x9.76 = 4 N/m
s 0.61
ru-i§ Al~~ ta~~ ftuJ ru~su ru::n ts g~
2 2
d x dx d x dx
0.25 - = - 4x- 2- ti - + 8- + 16x = o &1:1 ru't!ls run::~ o.n t~'l§
dt2 dt "- dt2 dt 9 s
x(O) = 0 , x'(O) = -0.9
Q1 0 •'=> C1 c:b
t?iQlShl'l§Al~rumrutShl'l§Al~ x" + 8x' + 16x = 0 ?1
2 2 0 ~
A + 8A + 16 = 0 ~ (A+ 4) = 0 Sl ~ A = A = -4
2
1

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