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OÝ_m{OÝ_rÀ`m Mm§Jë`mdmB©Q> H$_mªMr \$i{ ^m{Jmdr bmJVmV Aer ^maVr`
g§ñH¥$VrÀ`m odMmaYma{Vrb [wamVZ H$mim[mgyZMr YmaUm Amh{ d d¡kmoZH$
Ñï>rZ{ [mohb{ Var oH«$`m - àoVoH«$`m Ý`m`mZ{ odMmaerb ì`º$tZm V{ [Q>Uma{hr
Amh{.
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gV²erb g‚mZm§Mr X¡Ý`mdñWm, \$a[Q> hm{VmZm gVV oXgbr H$s
[m[[wÊ`mdaMm, Ý`m`AÝ`m` g§H$ë[mZm§darb odœmg CS>më`moedm` ahmV
Zmhr. gH¥$Xe©Zr Ag{ dmQ>U{ ghmoOH$, ñdm^modH$ Agb{ Var S>m{ù`m§Zm oXgV{
V{M AmoU V{dT>{M Ia{ _mZU{ h{ EH$Va \$gd{ AgV{ Xwga{ åhUO{ gm[{jhr
AgV{. H$maU _mUgmM{ A§Va§J, h{Vy, _mZogH$ odMma, ì`dhma `m ]m]VrV
Am[U AZo^k AgVm{.
AmoU ]è`mM d{im oZa[{j[U{ [mhUmè`mbmhr gX²dV©Z AmoU XwX}dr
od[ÞmdñWm `m§M{ gmhM`© d XwO©Zm§Mr MbVr h{ ñ[ï> oXgV Agb{ Var
Ë`mbmhr H$maU[a§[am gm§JVm `{B©b. ^m¡oVH$emómVrb VËdmZwgma goXe
amerÀ`m ]imMm [naUm_ oVMr oXem AmoU [na_mU (direction &
magnitude of a vector force) `mÀ`m EH$oÌV é[mZ{ hm{V AgVm{. Vg{M
gVV H$m`m©pÝdV hm{Umè`m ^yVH$mimVrb d dV©_mZH$mimVrb e{H$S>m{
bhmZ_m{R>çm goXe amer d{Jd{Jù`m oXem H$m{ZmVyZ [añ[am§Zm N>{oXV
AgVmV. Ë`m§À`mVyZ hm{Umè`m gå_wM`é[r A§oV_ \$boZî[Ìrbm(Resultant
Effect) `m{½` Vm{ H$mbmdoY bmJÊ`mMrhr Amdí`H$Vm AgV{.
oH$Vrhr ]woÕ_mZ H$ë[Zmj_ ì`º$s Agbr Var Vr ñWiH$mimÀ`m
Aé§X [Å>rda OJV AgV{. AmoU [¥Ïdr[waV{ [mohb{ Var ñWiH$mimÀ`m
_hmj{ÌmM{ ñdé[ "od[wbmM [¥Ïdr A[na_rV H$mb:' Ag{ AZ§V AgV{. åhUyZ
H$m{Urhr BVam§Mm N>mVrR>m{H$ oZdmS>m H$aU{ h{ VmpËdH$ ÑîQ>çm A`m{½` R>aV{.
`mhr Ñï>rVyZ "Á`mZ{ AmO[`ªV H$m{UV{hr [m[ H{$b{ Zg{b Ë`mZ{M Hw$bQ>m
åhQ>ë`m OmUmè`m órda XJS> \{$H$md{' h{ `{ey o¼ñVmM{ dMZ g_[©H$ R>aV{.
Agm{.
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AÝ`m`r, J¡a dmJUwH$s¨M{ Z{Q>H{$ dU©Z H{$b{b{ Amh{.
ew^mew^ H$_m©Z| OZm$& X{hm§Vr `{_`mVZm$&
ñdJ© ZH©$ ^m{J ZmZm$& `m Zmd AmoXX¡odH$$&& 3-8-2$&&
_mUgm§À`m Mm§Jë`mdmB©Q> H$_mª_wi{ _aUmZ§Va Ë`m§Zm ñdJ©, ZaH$mVrb
ododY gwIm{[^m{J dm Á`m Á`m `_`mVZm ^m{Jmì`m bmJVmV Ë`m H$_©\$im§Zm
AmoYX¡odH$ åhQ>b{ OmV{.
ZmZm Xm{f ZmZm [mVH|$$& _Xm§Y[U| Aodd{H|$$&
H{$br [ar V| Xw:IXm`H|$ & `{_`mVZm$^m{JodVr && 3-8-3$&&
_mUyg _Xm§Y hm{Vm{, AodMmar ]ZVm{ AmoU AZ{H$ Xw:IXm`H$ Km{a
[mVH{$, Xm{fmñ[X J¡a Jm{ï>r o]ZoX¸$V[U{ H$aV amhVm{. Ë`mM{ àm`oüÎm Ë`mbm
AmO Zm CÚm, `m Zm Ë`m é[mZ{ ^m{Jmd{M bmJV{ `mM{ AmH$bZ hm{U{ `mbmM
gX²gX²odd{H$]wÕr, gmamgma odMma åhUVmV. [U Ë`mMmM Aem bm{H$m§À`mV
Am§Yi{[Um_wi{ A^md AgVm{.
[wT>À`mM Am{drV Aem XwîH¥$Ë`m§Mm odñVma H{$b{bm AmT>iVm{.
Am§J]i| Ðì`]i|$& _Zwî`]i| amO]i|$&
ZmZm gm_Ï`m©M{oZ ]i|$& AH¥$Ë` H$naVr$&& 3-8-4$&&
eoº$, [¡gm, _Zwî`]i AmoU gaH$maXa]maMr àoVð>m dJ¡a|À`m ]imda
_mUg{ AZ{H$ XwîH¥$Ë`{ H$aVmV. ZrVroZ`_m§Mr [m`_„r H$éZ, ZH$m{ Ë`m
Jm{ï>r H$aVmV. _mUyg ñdmW©]wÕrZ{ Am§Yim ]ZVm{. AoVbm{^m[m`r dH«$]wÕrVyZ
O_rZOw_bm ]iH$mdU{, Xwgè`mMm [¡gm hS>[U{, H$m_m§YV{Z{ [aórbm \y$g
bmdyZ dm ]iO]arZ{ [iodÊ`mgmaIr A[H¥$Ë`{ H$aVmV. I§S>UrgmR>r,
ZdgmgmR>r, A[Ë`àmárgmR>r bhmZ _wbm§M{ A[haU, hË`m dJ¡a{ Jm{ï>r
H$_mbrÀ`m oh¨ó[U{, _ñVdmb[U{ H$aVmZm Ë`mbm H$mhrhr dmQ>V Zmhr.
OrdhË`m, Hw$Qw>§]hË`m, g_mOodÜd§gH$, X{eÐm{hr H¥$Ë`{ H$aVmZm `mMm PmS>m
Úmdm bmJ{b h{ Aem§À`m Jmdrhr ZgV{ `m AkmZA§Y:¸$mambm H$m` åhUmd{?
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