Free Body Diagram of Four Force System

8/8/2019 Free Body Diagram of Four Force System

1/20

PLTM ZAZLT

IO

MLNHAEGNAC ^NGLENL

PIZGN-Otll Di`w @gaftam io Oi|t

Oitnl ^w~plm

^|dmgppl` dw; ^|dmgppl` pi;

Clnp% Avpat ^gefh

Avgea~h Maeha~

Ticc%ei- TL48:1D0?

Tlf%ei- 1:8:70


2/20

GEPTI@\NPGIE

A otll di`w `gaftam g~ a zgnpitgac tlztl~lepapgie iople |~l` dw zhw~gng~p~ ae` lefgellt~ piaeacw{l phl oitnl~ anpgef ie a otll di`w% A otll di`w `gaftam ~hiv~ acc niepanp ae` eie-niepanpoitnl~ anpgef ie phl di`w% @tavgef ~|nh a `gaftam nae ag` ge ~icgef oit phl |ebeiveoitnl~ it phllq|apgie~ io mipgie io phl di`w% Ntlapgef a otll di`w `gaftam nae mabl gp la~glt pi|e`lt~pae` phl oitnl~# ae` mimlep~# ge tlcapgie pi iel aeiphlt ae` ~|ffl~p phl ztizlt nienlzp~pi azzcw ge it`lt pi oge` phl ~ic|pgie pi a ztidclm% Phl `gaftam~ atl ac~i |~l` a~ a nienlzp|ac`lgnl pi hlcz g`lepgow phl geplteac oitnl~oit lxamzcl# ~hlat oitnl~ ae` dle`gef mimlep~ gedlam~vhgnh atl `llcizl` vgphge ~pt|np|tl~

Lxamzcl;
http://en.wikipedia.org/wiki/Free_bodyhttp://en.wikipedia.org/wiki/Contact_forcehttp://en.wikipedia.org/wiki/Non-contact_forcehttp://en.wikipedia.org/wiki/Non-contact_forcehttp://en.wikipedia.org/wiki/Forcehttp://en.wikipedia.org/wiki/Equation_of_motionhttp://en.wikipedia.org/wiki/Moment_(physics)http://en.wikipedia.org/wiki/Free_bodyhttp://en.wikipedia.org/wiki/Contact_forcehttp://en.wikipedia.org/wiki/Non-contact_forcehttp://en.wikipedia.org/wiki/Non-contact_forcehttp://en.wikipedia.org/wiki/Forcehttp://en.wikipedia.org/wiki/Equation_of_motionhttp://en.wikipedia.org/wiki/Moment_(physics)


3/20

Nieplep~;

+Otll di`w `gaftam Vgph Oitnl ^w~plm

a % Phl \mdtgae ^ptllp Camz

d % Phl Hatdit Ntael

+Tlztl~lepapgvl ztidclm~ ae phlgt ~ic|pgie~

ptgef ae` dcinb ~w~plm

Gencgel ae` dcinb ~w~plm

Z|cclw# ~ptgef ae` dcinb ~w~plm

Pi dcinb~ ~w~plm

Z|cclw# ~ptgef ae m|cpgzcl dcinb~ ~w~plm

Otll di`w `gaftam Vgph Oitnl ^w~plm

Iel io phl mi~p |~lo|c ag`~ oit ~icgef a ~papgn~ ztidclm g~ phl otll di`w `gaftam (OD@'% A otlldi`w `gaftam g~ a ftazhgn# `lmapltgacg{l`# ~wmdicgn tlztl~lepapgie io phl di`w (~pt|np|tl#lclmlep it ~lfmlep io ae lclmlep' ge vhgnh acc nieelnpgef $zglnl~$ hal dlle tlmil`% A OD@g~ a nieleglep mlphi` pi mi`lc phl ~pt|np|tl# ~pt|np|tac lclmlep# it ~lfmlep phap g~ |e`lt~nt|pgew% Gp g~ a vaw ge vhgnh pi nienlzp|acg{l phl ~pt|np|tl# ae` gp~ nimzi~gpl lclmlep~# ~i phapae aeacw~g~ maw dl gegpgacg{l`%

Acc io phl zhw~gnac appttgd|pl~ io phl ~pt|np|tl atl tlmil`% Phg~ g~ eip nimzclpl` ap tae`im#taphlt vgph a `g~pgenp mlphi`% A di`w# it ~lfmlep phltlio# g~ tlztl~lepl` dw a ~gmzcl ~gefcl cgel%Lanh nieelnpgie g~ ~iclcw tlztl~lepl` dw a k|enp|tl vgph `g~pgenp ztizltpgl~# it g~ tlzcanl` dw a

~lp io oitnl~ ae` mimlep~ vhgnh vi|c` tlztl~lep phl anpgie ap phap nieelnpgie% Geplteac oitnl~vhgnh vi|c` dl oi|e` ap a ei`l (nieelnpgie it kigep' nae dl tlzcanl` dw tlztl~lepapgieaclxplteac oitnl~ vhltl phap $zatp$ nieelnp~ vi|c` nieelnp vgph phl iphlt mlmdlt ge phl OD@% Acccia`~ atl tlztl~lepl` a~ oitnl ~w~plm~%


4/20

Phl gmafl pi phl tgfhp g~ a cgeb pi a migl vhgnh gcc|~ptapl~ phl vaw ge vhgnh lanh io phl cia`~ iephl ~pt|np|tl (ge phg~ na~l phl dlenh' atl tl~icl`% Gp ac~i gcc|~ptapl~ hiv lanh ae` lltw zhw~gnac

cia` phap anp~ |zie phl ~pt|np|tl m|~p dl tlztl~lepl`% Phg~ mlae~ phap acc io phl cia`~ atltlzcanl` dw lnpit~% Lle phl ~|zzitp~ atl tlzcanl` dw ~gefcl lnpit~%

Lltwphgef phap g~ ell`l` pi ~icl a oitnl ~w~plm g~ genc|`l` ie phl OD@% Otll di`w `gaftam~maw eip ~llm elnl~~atw ge phl tlcapglcw ~gmzcl n|ttlep azzcgnapgie~# d|p a~ ztidclm~ dlnimlmitl nimzclx# phlgt |~lo|cel~~ gentla~l~%

Phl oiccivgef g~ phl ztinl~~ oit `lpltmgegef phl tlanpgie ap phl vacc oit a naepgcllt dlam% AOD@ g~ ogt~p `tave io phl dlam% Elxp# n|p phl dlam otll otim phl vacc ae` tlzcanl phl vacc vgphphl oitnl~ phap vltl ~|zzitpgef phl dlam ap phl vacc dloitl gp va~ n|p otll% Phl~l oitnl~ atl|ebeive# d|p phlw atl phl iecw oitnl~ phap nae bllz phl dlam ge lq|gcgdtg|m% Phlw atl g`lepgnac


6/20

Phl Hatdit Ntael

Vhle nieotiepl` vgph vhap azzlat~ pi dla nimzclx zticdclm# phl ogt~p phgef pi `ig~ pi ^GMZCGOW!!! @lpltmgel phlg`lepgogadcl zglnl~% Ciib oit ~gfegognaepnhaefl~ ge phl ~pt|np|tac mitzhicifw%P|te phl gmafl |z~g`l `ive go ell` dl geit`lt pi applmzp pi `lmapltgac{l phlztidclm%

Ge phg~ na~l# phl ntael m|~p dl `gg`l`gepi ap cla~p pvi tlnifeg{adcl zglnl~% Gpha~ a pt|~~l` |zzlt ~pt|np|tl (A' ae` atgfg` otaml civlt ~pt|np|tl (D'% Vl nae~zcgp phl ~pt|np|tl~ gepi phl~l pvi zatp~dlna|~l vl nae ac~i tlnifeg{l phap phl|zzlt zatp m|~p dl adcl pi tipapl vhgclphl civlt zatp tlmage~ $~padcl$ it ap phlltw cla~p tlmage~ ge zcanl% Pvi~gfegognaep vlgfhp~# it oitnl~# nae dl


7/20

g`lepgogl` anpgef ie zatp A2 phl vlgfhp io phl hig~pl` cia` ae` phl catfl nientlpl dcinb ni|eplt-dacaenl% Eipgnl phl tlcapgl mafegp|`l~ io phl oitnl lnpit~% Go phl anp|ac mafegp|`l io oitnl~ atl|ebeive# phg~ g~ iel vaw ge vhgnh phl~l ac|l~ nae dl tlztl~lepl`%

Eipl ac~i phap ~iml zatp~ io phl anp|ac d|gcp oitm io phl ntael hal dlle elfclnpl` ge phl |zzlt

zatp% Phltl g~ a ~ltgl~ io manhgel~ vhgnh inn|zw phl zcapoitm adil phl ngtn|cat ~vglc ptanb%Phl~l atl eip tlaccw io nienlte ge phg~ aeaw~g~ |ecl~~ phlw atl zltmaelep AE@ io nie~g`ltadclvlgfhp% Go phlw atl EIP nie~g`ltl`# phle phlgt cinapgie ap phl nleplt io phl vhicl ntael a``~ a dgpio ~padgcgpw pi phl iltacc ~w~plm% Ph|~# ~macclt gplm~ vhgnh mgfhp it mgfhp eip dl ztl~lep atl|~|accw elfclnpl`%

Zatp D nie~g~p~ io a hlaw# ~icg` zcapl ~pllc tgfg` otaml% Gp ~llm~ pi hal ollp ap phl dippim iolanh $clf$ phap ztig`l phl $oiipgef%$ Phl otll di`w `gaftam g~ `tave za~~gef phti|fh phl nlepltio ftagpw io phl ~lnpgie% Phltl atl pgml~ vhle phl cinapgie io phl nleplt io ftagpw g~ anp|acw|ebeive% Vhle phg~ g~ phl na~l# phle gp g~ elnl~~atw pi mabl a $dl~p f|l~~$ a~ pi gp~ cinapgie%Ienl phg~ g~ nimzclpl`# gp nae dl pl~pl` a~ pi gp~ $nittlnpel~~$ dw phl cifgn io phl tl~|cpgef

`gaftam% Phltl atl pgml~ vhle phl Otll di`w `gaftam `il~ eip ~llm pi tlztl~lep aewphgef nci~lpi phl d|gcp oitm%

Tlztl~lepapgvl ztidclm~ ae phlgt ~ic|pgie~

Vl `g~n|~~ ztidclm~# vhgnh hgfhcgfhp nltpage a~zlnp~ io phl ~p|`w cla`gef pi phl dacaenl` oitnl~w~plm% Phl q|l~pgie~ atl naplfitg{l` ge pltm~ io phl nhatanpltg{gef olap|tl~ io phl ~|dklnpmapplt ;

^ptgef ae` dcinb ~w~plm


Z|cclw# ~ptgef ae` dcinb ~w~plm

Pvi dcinb~ ~w~plm

Z|cclw# ~ptgef ae` m|cpgzcl dcinb~ ~w~plm


8/20

^ptgef ae dcinb ~w~plm

Ztidclm 1 ; A dcinb vlgfhgef 1:: E g~ ~|~zle`l` vgph phl hlcz io phtll ~ptgef~ a~ ~hive ge phlogf|tl% Oge` phl ple~gie ge lanh io phl ~ptgef~%

Dacaenl` oitnl ~w~plm

^ic|pgie ; Phg~ lxamzcl gcc|~ptapl~ iel gmzitpaep a~zlnp io oitnl `gaftam% Vl nae lle `tavoitnl `gaftam io a zigep ie phl ~w~plm cgbl I# vhltl phtll ~ptgef~ mllp% Phl zigep `il~ eiptlztl~lep a di`w# d|p oitnl `gaftam g~ acg` ~i cief vl `g~zcaw phl oitnl~ anpgef phti|fh phlzigep# I%

Clp P1 # P4 ae` P> dl phl ple~gie~ ge phl ~ptgef a~ ~hive ge phl ogf|tl hltl%


9/20

A ztlcgmgeatw a~~l~~mlep io oitnl~ ~|ffl~p~ phap aeacw~g~ io oitnl~ ie dcinb vgcc ztig`l ac|loit phl |ebeive# P1% Hlenl# vl ogt~p aeacw{l oitnl ie phl dcinb%

Otll di`w `gaftam io dcinb

P1=1::E


10/20

Otll di`w `gaftam io I

Phl lxplteac oitnl~ ap zigep I atl (g' Ple~gie# P1 (gg' Ple~gie# P4 ae` (ggg' Ple~gie# P>

Ox=P>~ge?::P4

=:

P4=P>~ge?::

ae`

Ow=P>ni~?::P1=:

P>=P1ni~?::=4::

E

Z|ppgef phg~ ge phl lq|apgie oitP4 # vl hal ;

P4=P>~ge?::=4::x>)

=1::>E

4

Vl ~hi|c` eipl phap `gtlnpgie io ple~gie $ P1 $ anp~ |z vgph tl~zlnp pi phl di`w# vhltla~ $ P1 $anp~ ìve vgph tl~zlnp pi zigep $I$% Vl ell` eip dl iltcw nienltel` ae` k|~p ptw pi ogf|tl i|p#vhap a pa|p ~ptgef ìl~ pi phl di`w it zigep ge nie~g`ltapgie% Phl ple~gie z|cc~ ìve phl zigep$I$ ae` z|cc~ |z phl di`w% Oit phg~ tla~ie# gp ha~ `gooltlep `gtlnpgie~ vgph tl~zlnp pi phlm%


Ztidclm 4 ; Oge` phl oitnl# O# tlq|gtl` pi bllz phl dcinb ~papgieatw ie ae gencgel io aefcl $$hagef otgnpgie-cl~~ ~|toanl a~ ~hive ge phl ogf|tl%


11/20

^ic|pgie ; Vl nae lgphlt hal (a' axl~ ge hitg{iepac ae` ltpgnac `gtlnpgie~ it (d' zatacclc pigencgel ae` zltzle`gn|cat pi gp% Vhgnh io phl pvi g~ dlpplt ~|gpl` hltl 9 Ge phg~ na~l# iel oitnl(mf' g~ acief ltpgnac `gtlnpgie# vhltla~ iphlt lxplteac oitnl (O' g~ acief hitg{iepac `gtlnpgie% A~~|nh# gp g~ a`aepafli|~ pi hal a hitg{iepac ae` ltpgnac axl~ a~ pvi io phtll oitnl~ atl acief phlniit`geapl axl~% Otll di`w `gaftam io phl dcinb

Phl lxplteac oitnl~ ie phl dcinb atl (g' Oitnl# O (gg' Vlgfhp# mf ae` (ggg' Eitmac oitnl# E%


12/20

Ox=OE~ge=:

O=E~ge ae`

Ow=Eni~mf=:

mf=Eni~

Pabgef tapgi# vl hal ;

Omf=pae

O=mfpae

Z|cclw# ~ptgef ae dcinb ~w~plm


13/20

Ztidclm > ; A ~ptgef figef ilt a z|cclw A io ma~~ m ~|zzitp~ a ma~~ M a~ ~hive ge phlogf|tl% Oge` phl mafegp|`l io oitnl lxltpl` dw phl ncamz D ie z|cclw A%


^ic|pgie ;Hltl# vl nie~g`lt z|cclw a~ phl di`w ~w~plm% Clp |~ ac~i nie~g`lt phap ncamz Dlxltp~ a oitnl O ge ae atdgptatw `gtlnpgie# mabgef ae aefcl vgph phl hitg{iepac% Vl ~hi|c` eiplphap z|cclw# |ecl~~ iphltvg~l ~zlngogl`# g~ nie~g`ltl` pi dl io elfcgfgdcl ma~~ ae` otgnpgie-cl~~% Gephg~ na~l# hivllt# z|cclw ha~ ogegpl ma~~ m ae` gp~ vlgfhp ~hi|c` dl nie~g`ltl` pi dl aelxplteac oitnl ie phl z|cclw%

Phl ~ptgef g~ ~gefcl zglnl ae` ma~~-cl~~# vhltla~ z|cclw g~ eip ma~~-cl~~% Hivllt# z|cclw g~~papgn% A~ ~|nh# phltl g~ ei pitq|l geicl`% Hlenl# ple~gie ge phl ~ptgef acc phti|fh i|p g~ ~aml%Otim phl nie~g`ltapgie io dcinb# vl ~ll phap ple~gie ge phl ~ptgef g~ lq|ac pi phl vlgfhp io phldcinb g%l% Mf%

Eiv# phl lxplteac oitnl~ ie z|cclw atl (g' Hitg{iepac ple~gie $P$ (gg' Vlgfhp# mf# io phl z|cclw(ggg' _ltpgnac Ple~gie# P# ae` (g' oitnl# O azzcgl` dw ncamz D%


14/20

Ox=OxP=OxMf=:

Ox=Mf ae`

Ow=OwmfP=OwmfMf=:

Ow=(M"m'f

Phl oitnl lxltpl` dw phl ncamz#O# g~ ;

O=S(Ox4"Ow4'=Sr(Mf'4"(M"m'4f4r

O=fSrM4"(M"m'4r

Pvi dcinb~ ~w~plm


15/20

Ztidclm 0 ; Pvi dcinb~ $A$ ae` $D$# vlgfhgef 4: E ae` 1: E tl~zlnpglcw atl ge niepanp vgphlanh iphlt% Go phl dcinb~ atl ap tl~p# phle oge` phl oitnl $O$ ae` phl eitmac tlanpgie~ dlpvlle accniepanp ~|toanl~%


^ic|pgie ; Phl q|l~pgie `lmae`~ phap vl `tav otll di`w `gaftam io lanh io phl dcinb ~lzataplcwa~ vl atl tlq|gtl` pi beiv eitmac tlanpgie~ ap acc ~|toanl~% Hltl# phltl atl phtll niepanp ~|toanl~

dlpvlle (g' A ae` hitg{iepac ~|toanl (gg' D ae` hitg{iepac ~|toanl ae` (ggg' A ae` D%A ztlcgmgeatw a~~l~~mlep io oitnl~ ie phl dcinb~ ~|ffl~p~ phap aeacw~g~ io oitnl~ ie D vgccztig`l ac|l~ io |ebeive oitnl(~'% Gp g~ ~i dlna|~l phl oitnl~ ie D atl m|p|accw zltzle`gn|cat(ph|~# phlw vi|c` eip ell` pi dl tl~icl`'# go azztiztgapl niit`geapl ~w~plm g~ nhi~le% Hlenl# vlogt~p aeacw{l oitnl ie dcinb D%

Otll di`w `gaftam io D

Phl lxplteac oitnl~ atl (g' vlgfhp io D = 1: E (gg' Eitmac oitnl azzcgl` dw A g%l%E1 (~aw' (ggg'Eitmac oitnl azzcgl` dw ~|toanl g%l%E4 ae` (g' lxplteac oitnl io 4: E


16/20

Ox=E14:=:

E1=4:E

ae`

Ow=E41:=:

E4=1:E

Otll di`w `gaftam io D

Phl lxplteac oitnl~ atl (g' vlgfhp io A# 4: E (gg' Eitmac oitnl azzcgl` dw D g%l%E> (~aw' =E1 =4: E (ggg' Eitmac oitnl azzcgl` dw ~|toanl g%l%E0 ae` (g' oitnl# O = 9


17/20

Ogf|tl 1:

Ox=Oni~>::E>=Oni~>:

:E1=Oni~>::

4:=:

4:=Oni~>::

O=4: ni~>:: =4:>)4 =0:>E

ae`

Ow=E0O~ge>::4:=:

E0=O~ge>::"4:=0:> X1)4 "4:=4:>"4:=4:(1"> 'E

Z|cclw# ~ptgef ae m|cpgzcl dcinb~ ~w~plm

Ztidclm


18/20

^ic|pgie ; Phltl atl pvi ~ptgef~% Hlenl# phl ple~gie~ ge phl ~ptgef~ vgcc dl `gooltlep%Clp P1 ae` P4 dl phl ple~gie ge ~ptgef~ AD ae` DN tl~zlnpglcw%

Ciibgef ap phl atgi|~ di`w ~w~plm~# vl f|l~~ phap phl ~gmzcl~p oitnl ~w~plm g~ phl iela~~ingapl` vgph dcinb N% Hivllt# oitnl aeacw~g~ io dcinb N vgcc eip wglc` aewphgef a~ vl `i eipbeiv gp~ vlgfhp it phl ple~gie P4 %

Otll di`w `gaftam io A


19/20

Otll di`w `gaftam

Phl lxplteac oitnl~ atl (g' vlgfhp io A = 1: E (gg' Eitmac oitnl azzcgl` dw gencgel g%l%E1 (~aw'(ggg' ple~gie ge AD# P1 %

Ox=1:~ge>::P1=:

P1=1:~ge>::=


20/20

Ox=4:~ge>::"P1P4=:

P4=4:x1)4"

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Free Body Diagram of Four Force System