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Unformatted text preview: 2—83. Determine the magnitude of the component of the
position vector r along the 0:: axis. ,1' HitEuler 4* edition 23.3 Determioe the magnitude ofthe component ofthe
position teeter ”lens the On Mir. We will ﬁrst write the 1.u'euator r in Cartesian vector
ﬁrm. 1 nth“+3131 Now let‘s ﬁnd a unit vector that points in the
direction Eu. rm =[2i+4j+4k]m
1'5." :11: +41 +d1m = 6m
=ﬂ—3i+d]+dk} x New “emu use thedot podtettoﬁnd theeompenentoftheymiﬁmweualongtheﬂaaxis. m“ = rlu=[u—£_i}+#+m%]m =2.ﬁTﬂt = 2.6Tm rL'I .r “2—84. Determine the magnitude of that: component of the
I'D11:: F illﬂing thc Aa axis Hibbeler 4'“ Bdi‘t'iﬂlt 234 Determine the magnitude ul‘the mmpunent ctl‘lhe force F
along the An axis. Notethatthe time Fpoittts along the: line ﬁrm: A toE. We
will ﬁrst write lite ﬁrm F in Cartesian vector than. The ﬂame can be developed as a magnitudﬂ times a unit tBctﬂI'
that points truth A t; B. I
r mhr Jﬁm {51  1th"  { tttttztj:tt.ttt}.ttIf Now let's ﬁnd a unit vector that points in the direction An. Now let's ﬁnd a unitvector that points in thttdirecticm M.
r” = {1itj+3k}m r“ =i21+61+33m =?m
u=t{—2t—t]+3t} Now we can use the tint pmduct i; ﬁnd the campunentut‘l?‘ along the Ar! axis. [titthhrht} + [Etiﬂh'lﬂl T T =3t'tﬂt'tl' F‘.:F.“:[ 2493. Detennitte the mtglee ti and «it made between the
axes 0A at“ the ﬂag pole and each cable. AB and AC. Frill 2H: Hihheier If“ edition 293 Determinetheengleeﬂandtbmedebemeenme I C .p,
.1er DA ctfthe flag puknrtﬂ each Gable, AB and
AC. Let's first write the three position vectors in
Carteeinn form and determine their magnitudes. W ...,.Ii:lt._..._..._ rm = {utuekh; rm =5m
r“={lji—t1j+3t}ttt:r” =Wm
r“={—2i—4j+ii}nt: Wm. x We can new ﬁnd the required angles by using ﬂiedet precinct. c053: rm 1r” = WIMmHiIIntHIlnti+{3m}[3m) ={l_2t’tﬂ riUrtd {SHIHJETESHI} 5 = 14.41” ‘ZIIIH. Detemine the angles a and dr bemoan the wire
mgmﬁmﬁ. . 2 Fruit. I—‘Iﬂl Hibbdﬂﬁ‘ndlﬂm 21114 mummmamwmmm
sluglull. LﬂsﬂmmhﬂpuIlhmm'mﬂmﬂn
widthinﬁrm. r“ = {ﬁlDJ]D5k}n: r” = mn
I... = {unquujuh; r" = ﬂy:
I“ = {ﬂjl{Ilhﬂjﬂm r” = m.
r”, = {mm0 +ﬂk}ll: n, = u. Wuunmwﬁrﬂ timidlulu bymlnglkuttpﬁm rII rl4. _ [ﬂHﬂjIH [IILIII “ELIE“ [ﬂjll 95]]
HEN  {ﬁnIuﬁm] 9 “ﬂ" = H.215 HIE: m... = Iain. = F ”3 3* M. 1+ 1— M th [tun m = 031':
rural “ﬁll Elﬁn} i 333?“...
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 Fall '10
 Stokes
 Statics

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