laws of motion and machines unit part ii/v - download .ppt at

8/8/2019 Laws of Motion and Machines Unit Part II/V - Download .ppt at www.sciencepowerpoint.com

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_c|r HH / Z_c|r HH / ZI`rh`k ckb Icedhknu ^khr I`rh`k ckb Icedhknu ^khr



Rdhu hu _c|r HH / Z `j ck nb~ecrh`kcg ~khr

cl`~r Rdn Gc}u `j I`rh`k ckb Icedhknu+

B`}kg`cb rdn _`}n|p`hkr zn|uh`k `j rdhu

zhbn`' ~khr k`rnu' cuunuuinkru' gcl

dckb`~ru' |nzhn} mcinu' zhbn`u' ckb

i~ed i`|n cr}}}+uehnkenp`}n|p`hkr+e`i



Fnnp ck nxn `~r j`| µRdn)@}g² ckb |chun

x`~| dckb cu u``k cu x`~ unn dhi+

³ Dn }hgg ln dhbhkm u`in}dn|n hk rdn ughbnud`}

µD``r' D``r² µM``b G~ef#²

E`px|hmdr ¨ <?3? \xck _+ I~|pdx



Gc}u `j I`rh`k ckb Icedhknu ^khr Gc}u `j I`rh`k ckb Icedhknu ^khr




55|b|b Gc}Gc}

J`| nzn|x cerh`k rdn|n hu ck ns~cg ckbJ`| nzn|x cerh`k rdn|n hu ck ns~cg ckb`pp`uhrn |ncerh`k+`pp`uhrn |ncerh`k+




55|b|b Gc}Gc}





Egcuu Bni`1 Kn}r`kºu E|cbgn+



Zhbn`# Ughp kº Jgx

³ Bhup|`zn rdn zcghbhrx `j rdhu ur~kr ~uhkm

Kn}r`ku Rdh|b Gc}



Cku}n| 1 Rdhu ur~kr hu jcfn lnec~un }dnk

dn dhru rdn p``g rdn }crn| m`nu ~p hkurncb

`j hk rdn `pp`uhrn bh|nerh`k j|`i rdn j`|en+






]dcr Dcppnknb#]dcr Dcppnknb#






]dcr ud`~gb dcppnk#]dcr ud`~gb dcppnk#

N ~cg ckb @ `uhrn \ncerh`kN ~cg ckb @ `uhrn \ncerh`k



Zhbn`# Ughp kº Jgx

³ Dn cgu` b`nu k`r dczn rdn upnnb knenuuc|x

r` m` rdcr jc|+ Rdn _N ckb FN b` k`r cbb ~p+

³ H lnghnzn dn ceengn|crnu hk rdn ch| cu }ngg0

³ Rdn p``g b`nu k`r udhjr hk rdn `ppùhrn

bh|nerh`k j|ì c uhbn hipcer+ ³ Dn }`~gb iùr ghfngx ufhp ̀ k rdn u~|jcen

rnkuh`k `j rdn }crn| hkr` rdn dhgguhbn+



]dx b`nukºr hr gcur j`|nzn| ghfn rdhu

hkcee~|crn ckhicrh`k0




Cku}n| r` Kn}r`kºu E|cbgn1 Nkn|mx hu

bhuuhpcrnb hk rdn j`|i `j dncr' ckb j|herh`k+ Rdn

e`gghbhkm lcggu' ur|hkm' ckb rdn inrcg lcggu|ngncun dncr+ Rdn lcggu i~ur p~ud rdn ch|

i`gne~gnu cuhbn }dhed |ns~h|nu nkn|mx

nznkr~cggx ug`}hkm rdn p|`enuu+




Cerhzhrx# B|`pphkm c lcgg+

³ ]hgg Kn}r`kºu Gc}u `kgx }`|f hj rdn lcgg hu dcppx0




Cku}n| ³ Rdn r}` lcggu c|n icbn `j bhjjn|nkr

icrn|hcgu' Rdn ucb lcgg hu icbn r` clu`|l ud`ef

}dhgn rdn dcppx lcgg hu icbn r` l`~ken+




Zhbn` ³ J`| nzn|x cerh`k rdn|n hu ck ns~cg

ckb `pp`uhrn |ncerh`k+ Ugcp & ]crn|

lcgg``k

³ ]dcr hu rdn cerh`k' }dcr hu rdn |ncerh`k0

³ ]dn|n b`nu rdn nkn|mx m`0

E`px|hmdr ¨ <?3? \xck _+ I~|pdxe



Kn}r`ku <Kn}r`ku <kbkb Gc}Gc}

Rdn |ngcrh`kudhp lnr}nnk ck `laner-u icuuRdn |ngcrh`kudhp lnr}nnk ck `laner-u icuu ii''

hru ceengn|crh`k c' ckb rdn cppghnb j`|enhru ceengn|crh`k c' ckb rdn cppghnb j`|en JJ huhuJ 9 icJ 9 ic++




@kgx cppghnu r` knr ntrn|kcg j`|en+ K`r

uhr~crh`ku }dn|n `laneru c|n cpp|`cedhkmupnnb `j ghmdr `| g``uhkm icrn|hcgu+




Rdn knr j`|en `k ck `laner hu ns~cg r` rdnRdn knr j`|en `k ck `laner hu ns~cg r` rdnicuu `j rdn `laner i~grhpghnb lx hruicuu `j rdn `laner i~grhpghnb lx hru

ceengn|crh`k+ceengn|crh`k+




]dcr b`nu KCUEC\ rngg ~u cl`~r J9IC0



Cku}n| 1 Rdcr c g`r `j icuu ckb ceengn|crh`k

gncbu r` c dhmd j`|en $Kn}r`ku( / bnur|~erh`k r`

ck c~r`i`lhgn+




Cerhzhrx Zhbn`# ]cred rdhu eghp }hrd c

}|nefhkm lcgg ckb ihkh)zck+

³ ]|hrn rd|nn unkrnkenu ~uhkm j`|en' icuu' ckb

ceengn|crh`k+ Hu rdhu \ncg `| _d`r`ud`p0



Cerhzhrx Zhbn`# ]cred rdhu eghp }hrd c

}|nefhkm lcgg ckb ihkh)zck+

³ ]|hrn rd|nn unkrnkenu ~uhkm j`|en' icuu' ckb

ceengn|crh`k+ \ncg H rdhkf0



]d` }hku hk c |cen j|`i qn|` r` :?fi ck

d`~| }hrd rdn ucin cppghnb j`|en0




Cku}n|# Rdn }dhrn ec| lnec~un hr dcu gnuu

icuu ckb }hgg ceengn|crn jcurn|+




]dhed zndhegn }hgg u~|zhzn hk c dncb `k

e`gghuh`k hj l`rd c|n r|cznghkm eg`un r` rdn

ucin upnnb0




Cku}n|# Rdn b~ip r|~ef }hgg e|~ud rdn

uicggn| r|~ef lnec~un hr dcu i`|n icuu+




C m`)ec|r }hrd c icuu `j <?? fm hkeg~bhkm

pcuunkmn|u ceengn|crnu j|`i r` c upnnb `j 3?

inrn|u pn| une`kb lnj`|n e|cudhkm hkr` c l|hef}cgg+ J9IC

³ ]dcr }cu rdn j`|en `j dhu e|cud hk Kn}r`ku0




J 9 IC

J 9 0

I 9 <??fm C 9 3? i/u

J 0 9 <??fm rhinu 3?i/u




Cku}n| 1 <??? Kn}r`ku




C gncj }nhmdhkm > m|ciu jcggu j|`i c r|nn cr c |crn

`j < inrn|u nzn|x une`kb+ ]dcr hu rdn j`|en `j

rdn gncj dhrrhkm rdn m|`~kb hk Kn}r`ku0




J 9 IC

J 9 0

I 9 > m|ciu

C 9 < i/u

J 9 > rhinu <




Cku}n| 1 3? Kn}r`ku+




C ec| ur|hfnu c m~c|b|chg ckb rdn hipcer }cu

>??? Kn}r`ku+

³ Rdn ec| }nhmdnb 3?? fhg`m|ciu' d`} jcur }cu hri`zhkm hk inrn|u pn| une`kb0




J9IC

³ J`|en ³ >??? Kn}r`ku

³ I ³ 3?? fm

³ C ³ ~kfk`}k




J9IC

³ J`|en ³ >??? Kn}r`ku

³ I ³ 3?? fm

³ C ³ ~kfk`}k

³ >???K 9 3??fm rhinu T




J9IC

³ J`|en ³ >??? Kn}r`ku

³ I ³ 3?? fm

³ C ³ ~kfk`}k

³ >???K 9 3??fm rhinu T

³ @pp`uhrn `j i~grhpgxhkm hu bhzhbhkm+




J9IC

³ J`|en ³ >??? Kn}r`ku

³ I ³ 3?? fm

³ C ³ ~kfk`}k

³ >???K 9 3??fm rhinu T


>???K 9 T $i/u(

3??fm




J9IC

³ J`|en ³ >??? Kn}r`ku

³ I ³ 3?? fm

³ C ³ ~kfk`}k

³ >???K 9 3??fm rhinu T


>???K 9 T $i/u(

3??fmT 9




J9IC

³ J`|en ³ >??? Kn}r`ku

³ I ³ 3?? fm

³ C ³ ~kfk`}k

³ >???K 9 3??fm rhinu T


>???K 9 T $i/u(

3??fmT 9 >? $inrn|u pn| une`kb(




C ec| ur|hfnu l|hef }cgg ckb rdn hipcer }cu >'???

Kn}r`ku+ Rdn ec| }cu r|cznghkm cr <> fhg`inrn|u

pn| une`kb+ ³ ]d` i~ed bhb hr }nhmd hk Fhg`m|ciu0




J9IC

³ J`|en ³ >'??? Kn}r`ku

³ I ³ ~kfk`}k

³ C ³ <> inrn|u pn| une`kb




J9IC

³ J`|en ³ >'??? Kn}r`ku

³ I ³ ~kfk`}k


³ >'???K 9 ^kfk`}k $fm( i~grhpghnb lx <>i/u+




J9IC

³ J`|en ³ >'??? Kn}r`ku

³ I ³ ~kfk`}k







J9IC

³ J`|en ³ >'??? Kn}r`ku

³ I ³ ~kfk`}k




>???K 9 T $fm(

<>i/u




J9IC

³ J`|en ³ >'??? Kn}r`ku

³ I ³ ~kfk`}k




>???K 9 T $fm(

<>i/uT 9




J9IC

³ J`|en ³ >'??? Kn}r`ku

³ I ³ ~kfk`}k




>???K 9 T $fm(

<>i/uT 9<?? fm




]hgg rdn r|chk ln clgn r` ur`p hk rhin0 ]dx0

³ Ntpgchk ~uhkm Kn}r`kºu <kb Gc}+




Cku}n|# K`# R|xhkm r` lncr rdn r|chk hu c |ncggx lcb

hbnc+

³ Rdn r|chk eckºr ur`p s~hefgx lnec~un `j hrºu nk`|i`~uicuu ckb rdn |chgu `jjn| ghrrgn j|herh`k+




Cku}n|# K`# R|xhkm r` lncr rdn r|chk hu c |ncggx lcb

hbnc+

³ Rdn r|chk eckºr ur`p s~hefgx lnec~un `j hrºu nk`|i`~uicuu ckb rdn |chgu `jjn| ghrrgn j|herh`k+


X cd A`nx+ X cd A`nx+

Hru k`r m`hkm

Hru k`r m`hkmckxi`|n+ckxi`|n+



Cerhzhrx# ûhkm Kn}r`kºu Gc}u+

³ Icfn rdn uicgg |~lln| lcgg dhr rdn enhghkm lx

b|`pphkm hr j|ì ednur dnhmdr+ ûn rdn fheflcggcu ck chb+

³ D`} b` x`~ icfn hr }`|f0

³ _gncun bnue|hln x`~| rnedkhs~n hk x`~| a`~|kcg

ckb d`} hr |ngcrnu r` Kn}r`kºu Gc}u+







³ D`} b` x`~ icfn hr }`|f0









³ D`} b` x`~ icfn hr }`|f0




C



Cku}n| 1





C # Rd g l gg d



Cku}n|# Rdn gc|mn| lcgg dcu i`|n icuu

ckb hr r|ckujn|u rdn nkn|mx hkr` rdn uicggn|

lcgg+ Rdn uicggn| lcgg cgu` dcu nkn|mx `j i`rh`k }dhed mnru r|ckujn||nb ~p+


h g j $ d b h (h g j $ d b h (



Jh|ur gc} `j nkn|mx $rdn|i`bxkciheu(Jh|ur gc} `j nkn|mx $rdn|i`bxkciheu(

Cgg nkn|mx hu nhrdn| fhknrhe `| p`rnkrhcg+ Cgg nkn|mx hu nhrdn| fhknrhe `| p`rnkrhcg+


Jh g j $ d b h (Jh g j $ d b h (






Jh r g j $rd b h (Jh r g j $rd b h (






_ r rh g N $_N(_ r rh g N $_N( Rd r bRd r b



_N FN




_`rnkrhcg Nkn|mx hu rdn nkn|mx `j p`uhrh`k_`rnkrhcg Nkn|mx hu rdn nkn|mx `j p`uhrh`k



_`rnkrhcg Nkn|mx hu rdn nkn|mx `j p`uhrh`k+_`rnkrhcg Nkn|mx hu rdn nkn|mx `j p`uhrh`k+@laneru rdcr c|n ngnzcrnb dczn c dhmd p`rnkrhcg@laneru rdcr c|n ngnzcrnb dczn c dhmd p`rnkrhcg

nkn|mx+nkn|mx+ Fhknrhe Nkn|mx hu rdn nkn|mx `j i`rh`k+Fhknrhe Nkn|mx hu rdn nkn|mx `j i`rh`k+


Cerhzhrx# _gncun }|hrn ckb pgck `k udc|hkm



Cerhzhrx# _gncun }|hrn ckb pgck `k udc|hkm

c unkrnken cl`~r _N ckb FN cl`~r rdn

ckhicrh`k lng`}+


Rdn i`kfnx dcu p`rnkrhcg nkn|mx lnec~un



^un _N ckb FN hk c ud`|r pc|cm|cpd cl`~r rdhu

ckhicrh`k+

³]

dnk' }dn|n' d`}0




I~uegn enggu cer ghfn ngcurhe lckbu Rdnx



I~uegn enggu cer ghfn ngcurhe lckbu+ Rdnx

dczn p`rnkrhcg nkn|mx }dnk ur|nrednb+



_gncun |ne`|b c unkrnken cl`~r p`rnkrhcg




ckb fhknrhe nkn|mx hk rdhu ckhicrh`k+





Fhknrhe nkn|mx r~|ku hkr` p`rnkrhcg nkn|mx

}dnk rdn p`gn lnkbu+ Rdn p`rnkrhcg

nkn|mx r~|ku hkr` fhknrhe nkn|mx cu rdnp`gn ~klnkbu ckb zc~gru rdn crdgnrn `zn|

rdn lc|+ Rdcr _N r~|ku hkr` FN cmchk+


Cerhzhrx# _N ³ FN Ufcrnl`c|bn| Uhi~gcr`|



Cerhzhrx# _N FN Ufcrnl`c|bn| Uhi~gcr`|

Unc|ed _dnr Ufcrn L`c|b Bni`+

B`}kg`cb p|`m|ci $J|nn( )

drrp1//pdnr+e`g`|cb`+nb~/nk/uhi~gcrh`k/nkn|

mx)ufcrn)pc|f


_N 9 imd_N 9 imd



_N imd_N imd



i/une<(i/une<(



_N 9 imd_N 9 imd



_N imd_N imd



i/une<(i/une<(


_N 9 imd_N 9 imd



mm



i/une<(i/une<(


_N 9 _N 9 imdimd



mm



i/une<(i/une<(



Ecge~gcrn rdn p`rnkrhcg nkn|mx j`| c < fm



lcufnrlcgg b|`pphkm j|`i c dnhmdr `j 5+> inrn|u

}hrd c zng`ehrx `j 8+4 i / une+

³ Jhkb rdn _N hk A`~gnu0


_N 9 imd



_N imd

i 9 < fmm 9 8+4 i/une<

d 9 5+> i


_N 9 imd



m

i 9 < fmm 9 8+4 i/une<

d 9 5+> i

_N 9 $< fm ( $8+4 i/une( $5+> i(


_N 9 imd



m

i 9 < fmm 9 8+4 i/une<

d 9 5+> i

_N 9 $< fm ( $8+4 i/une( $5+> i(

_N 9




Ecge~gcrn rdn p`rnkrhcg nkn|mx `j c ud`r p~r



b|`pphkm j|`i c dnhmdr `j : inrn|u }nhmdhkm >+22

fm }hrd c zng`ehrx `j 8+4 i/une+

³ Jhkb rdn _N hk A`~gnu0


_N 9 imd



m

i 9 >+22 fmm 9 8+4 u<

d 9 : i


_N 9 imd



m

i 9 >+22 fmm 9 8+4 u<

d 9 : i

_N 9 $>+22($8+4($:(


_N 9 imd



m

i 9 >+22 fmm 9 8+4 u<

d 9 : i

_N 9 $>+22($8+4($:(

_N 9 0


Cku}n| 1 _N 9 538+4= A`~gnu+



]`}# Rdcru ]`}# Rdcruu`in p`rnkrhcgu`in p`rnkrhcg

nkn|mx#nkn|mx#


Cku}n| 1 _N 9 538+4= A`~gnu+



]`}# Rdcru ]`}# Rdcruu`in p`rnkrhcgu`in p`rnkrhcg

nkn|mx#nkn|mx#


Ecge~gcrn rdn p`rnkrhcg nkn|mx j`| c <>?? fm

r gghr lhrh r grhr b j 3 >?? ???



ucrngghrn `|lhrhkm cr ck cgrhr~bn `j 3' >??' ???

inrn|u cl`zn rdn u~|jcen `j rdn nc|rd hj hr hu

r|cznghkm }hrd c zng`ehrx `j 8+4 i/une+ Jhkb _N hkA`~gnu0

³ Cuu~in }n c|n ~uhkm rdn nc|rd m|czhrx e`kurckr+

_N 9 imd



i 9 <>?? im 9 8+4 i/une<

d 9 3>?????i


_N 9 imd



i 9 <>?? im 9 8+4 i/une<

d 9 3>?????i

_N 9 $<>?? fm( $8+4 i/une<( $3>????? i(


_N 9 imd



i 9 <>?? im 9 8+4 i/une<

d 9 3>?????i

_N 9 $<>?? fm( $8+4 i/une<( $3>????? i(

_N 9 0


_N 9 5+:=> t 3?3? A`~gnu



@| _N 9 5:'=>?'???'??? A`~gnu


Fhknrhe nkn|mxFhknrhe nkn|mx




Rdn nkn|mx rdcr icrrn| dcu lnec~un `j hruRdn nkn|mx rdcr icrrn| dcu lnec~un `j hru

i`rh`k ckb icuu+i`rh`k ckb icuu+}dn|n i 9 icuu `j `laner+}dn|n i 9 icuu `j `laner+

z 9 upnnb `j `laner+z 9 upnnb `j `laner+

FN 9 Nkn|mx hk A`~gnu+FN 9 Nkn|mx hk A`~gnu+







i`rh`k ckb icuu+i`rh`k ckb icuu+}dn|n i 9 icuu `j `laner+}dn|n i 9 icuu `j `laner+









i`rh`k ckb icuu+i`rh`k ckb icuu+]dn|n i 9 icuu `j `laner+]dn|n i 9 icuu `j `laner+







n e n n mxn e n n mx









mxmx









))

)) ))





mxmx





Fhknrhe nkn|mx hu cgu` rdn jg`} `j ngner|`kuFhknrhe nkn|mx hu cgu` rdn jg`} `j ngner|`kud b rh g gg b g r h gd b rh g gg b g r h g



`laneru icuu ckb hru zng`ehrx $upnnb(+`laneru icuu ckb hru zng`ehrx $upnnb(+


]dcr hu rdn fhknrhe nkn|mx `j c 3? fhg`m|ci



eckk`k lcgg r|cznghkm cr >? inrn|u pn|

une`kb0 i 9 3? fm

z 9 >? i/u


B`kºr j`|mnr x`~| `|bn| `j `pn|crh`ku+

_NIBCU



_NIBCU

J`| FN' x`~ i~ur b` ntp`knkru $N( lnj`|ni~grhpgxhkm $I(+



_NIBCU



_NIBCU




_NIBCU



_NIBCU



FN 9 ?+> rhinu 3? fm rhinu $>?(< A`~gnu





FN 9 ? > rhinu 3? fm rhinu <>?? A`~gnu



FN 9 ?+> rhinu 3? fm rhinu <>?? A`~gnu





FN 9 ? > rhinu 3? fm rhinu <>?? A`~gnu



FN 9 ?+> rhinu 3? fm rhinu <>?? A`~gnu

FN 9 > fm rhinu <>?? A`~gnu FN 9




lcunlcgg r|cznghkm cr 2> inrn|u pn| une`kb0

i 9 +32< fm z 9 2> i/u


FN 9 ?+> rhinu +32< fm rhinu $2>(< A`~gnu





FN 9 ? > rhinu 32< fm rhinu <?<> A`~gnu



FN 9 ?+> rhinu +32< fm rhinu <?<> A`~gnu






FN 9 ?+> rhinu +32< fm rhinu <?<> A`~gnu

FN 9 +?=3 fm rhinu <?<> A`~gnu






FN ?+> rhinu +32< fm rhinu <?<> A`~gnu

FN 9 +?=3 fm rhinu <?<> A`~gnu FN 90






FN ?+> rhinu +32< fm rhinu <?<> A`~gnu

FN 9 +?=3 fm rhinu <?<> A`~gnu FN 9 325+==> A`~gnu


Inedckhecg Nkn|mxInedckhecg Nkn|mx $IN(1 Nkn|mx b~n r`$IN(1 Nkn|mx b~n r`p`uhrh`k ckb i`rh`kp`uhrh`k ckb i`rh`k



p`uhrh`k ckb i`rh`k+p`uhrh`k ckb i`rh`k+

U~i `j p`rnkrhcg ckb fhknrhe nkn|mhnu'U~i `j p`rnkrhcg ckb fhknrhe nkn|mhnu'hkeg~bnu dncr ckb j|herh`k+hkeg~bnu dncr ckb j|herh`k+


Bni`kur|crh`k ³ C B~iix ]chrn|#

³ H }hgg r~|k c e~p `j }crn| ~puhbn b`}k `zn| ix



³ H }hgg r~|k c e~p `j }crn| ~puhbn b`}k `zn| ix

dncb+


Enkr|hpnrcg J`|en1 Rdn j`|en }dhedEnkr|hpnrcg J`|en1 Rdn j`|en }dhed|nur|chku c l`bx hk i`rh`k j|`i m`hkm hk|nur|chku c l`bx hk i`rh`k j|`i m`hkm hk



|nur|chku c l`bx' hk i`rh`k' j|ì m`hkm hk|nur|chku c l`bx' hk i`rh`k' j|ì m`hkm hk

c ur|chmdr ghkn+c ur|chmdr ghkn+


Enkr|hpnrcgEnkr|hpnrcg J`|enJ`|en1 Rdn j`|en }dhed1 Rdn j`|en }dhed|nur|chku c l`bx' hk i`rh`k' j|ì m`hkm hk|nur|chku c l`bx' hk i`rh`k' j|ì m`hkm hk






Enkr|hpnrcgEnkr|hpnrcg J`|enJ`|en1 Rdn j`|en }dhed1 Rdn j`|en }dhed|nur|chku c l`bx' hk i`rh`k' j|`i m`hkm hk|nur|chku c l`bx' hk i`rh`k' j|`i m`hkm hk






J`|en1 Ck hkjg~nken rdcr ec~unu c l`bx r`J`|en1 Ck hkjg~nken rdcr ec~unu c l`bx r`

edckmn+edckmn+

Enkr|hpnrcg J`|en1 Rdn j`|en }dhedEnkr|hpnrcg J`|en1 Rdn j`|en }dhed|nur|chku|nur|chku c l`bx' hk i`rh`k' j|`i m`hkm hkc l`bx' hk i`rh`k' j|`i m`hkm hk



|nur|chku|nur|chku c l`bx' hk i`rh`k' j|ì m`hkm hkc l`bx' hk i`rh`k' j|ì m`hkm hk



\nur|chk1\nur|chk1

Enkr|hpnrcg J`|en1 Rdn j`|en }dhedEnkr|hpnrcg J`|en1 Rdn j`|en }dhed|nur|chku|nur|chku c l`bx' hk i`rh`k' j|ì m`hkm hkc l`bx' hk i`rh`k' j|ì m`hkm hk



|nur|chku|nur|chku c l`bx' hk i`rh`k' j|ì m`hkm hkc l`bx' hk i`rh`k' j|ì m`hkm hk



\nur|chk1 Fnnp ~kbn| e`kr|`g+\nur|chk1 Fnnp ~kbn| e`kr|`g+

Enkr|hpnrcg J`|en1 Rdn j`|en }dhedEnkr|hpnrcg J`|en1 Rdn j`|en }dhed|nur|chku c l`bx' hk i`rh`k' j|ì m`hkm hk|nur|chku c l`bx' hk i`rh`k' j|ì m`hkm hk



Zhbn`# Enkr|hpnrcg J`|en ckb u`in fhbu

}d` bhbkºr rcfn rdhu egcuu+



_~gg `j m|czhrx j|`i rdn u~k fnnpu rdn

nc|rd j|`i dncbhkm `~r hkr` upcen



nc|rd j|`i dncbhkm `~r hkr` upcen+




³ E`g`| Fnx C|ncu }hrd dhmd p`rnkrhcg nkn|mx ckb fhknrhe

nkn|mx ckb enkr|hpnrcg j`|en+


Ihkh Gcl) Fhknrhe ckb _`rnkrhcg Nkn|mx &

Kn}r`kºu Gc}u J9IC



Kn}r`k u Gc}u J IC

³ _gncun e|ncrn rdn j`gg`}hkm ec|bl`c|b |cip _gcen }``b u` |cip hu cr g`}nur hkeghkn

_gcen `kn }cudn| hk e~p $pc|fnb ec|(


_her~|n `j |cip cr hrºu dhmdnur hkeghkn+



\cipDnhmdr

_c|fnb ec| @kn

]cudn|

_c|fnb Ec| R}` ]cudn|

_c|fnb Ec| Rd|nn

]cudn|u

G`}nur

Ihbbgn

Dhmdnur


Icfn _|nbherh`kIcfn _|nbherh`k

cjrn| bcrccjrn| bcrce`ggnerh`k'e`ggnerh`k'

Kntr' pgcen rdn e~p hk rdn d`gbn|+ _gncun

b|c} rdn unr ~p `j rdhu ntpn|hinkr hk x`~|



\cipDnhmdr

_c|fnb ec| @kn

]cudn|

_c|fnb Ec| R}` ]cudn|

_c|fnb Ec| Rd|nn

]cudn|u

G`}nur

Ihbbgn

Dhmdnur


Icfn _|nbherh`kIcfn _|nbherh`k

cjrn| bcrccjrn| bcrce`ggnerh`k dn|ne`ggnerh`k dn|n

E`kb~er r|hcgu }hrd r|~ef $B Lcrrn|x( }hrd

`kn ckb rd|nn }cudn|u ckb rdn rd|nn



bhjjn|nkr dnhmdru' incu~|hkm rdn bhurckenrdn pc|fnb ec| r|czngnb cjrn| dhr hk ei+

³ B` k`r b` r}` }cudn|u#


Lcunb `k x`~| bcrc' icfn c p|nbherh`k j`|

rdn bhurcken rdn pc|fnb ec| ud`~gb r|czng

j l d d gg $CC( b f $B(



j`| l`rd rdn uicgg ec| $CC( ckb r|~ef $B(

`k x`~| up|ncbudnnru+

³ \~k u`in r|hcgu cjrn|}c|b r` unn hj x`~|

p|nbherh`k hu e`||ner+


_gncun e|ncrn c m|cpd hk x`~| a`~|kcg ud`}hkm

x`~| |nu~gru+ Hkeg~bn x`~| r}` }cudn|



p|nbherh`k+

E`g~ik $lc|( m|cpd

k n } c u d n | } `

} c u d n | u

d | n n

] c u d n | u

hm d \c i p

n b h ~ i \c i p

` } \c i p


@kn ]cudn|



d n

|

c|


00

@kn ]cudn|



d n

|

c|


S~nurh`ku r` cku}n| hk a`~|kcg $m|cbnb(

³ ]dhed Lcrrn|x ec~unb rdn pc|fnb ec| r` i`zn



x p

j~|rdn|0 ^un x`~| bcrc ³ Icuu 9 ]nhmdr `j lcrrn|x

³ Ceengn|crh`k )

³ Ntpgchk x`~| cku}n| cl`zn ~uhkm J9IC+


D`} bhb rdn dnhmdr `j rdn |cip cjjner rdn

i`zninkr `j rdn pc|fnb ec|0

^un p`rnkrhcg nkn|mx ckb fhknrhe nkn|mx hk



³ ^un p`rnkrhcg nkn|mx ckb fhknrhe nkn|mx hk

x`~| |nup`kun+


D`} bhb rdn |nuhurcken r` j`|en $}cudn|u( cjjner

rdn i`zninkr `j rdn pc|fnb ec|0




]dcr ud`~gb x`~ ln c}c|n `j cu x`~ c|n

`kgx c jn} xnc|u j|`i b|hzhkm0 J9IC






j~|rdn|0

Rd g B l rr l hr d



Rdn gc|mn| B lcrrn|x lnec~un hr dcu i`|n icuu

ckb rd~u dcu i`|n j`|en+)


J }cu hke|ncunb lnec~un rdn B lcrrn|x dcu i`|n

Icuu+



j~|rdn|0

Rd g B l rr l hr d







Icuu+



j~|rdn|0

Rd g B l rr l hr d







Icuu+




³ Hke|ncuhkm rdn dnhmdr `j rdn |cip hke|ncunb rdn



Hke|ncuhkm rdn dnhmdr `j rdn |cip hke|ncunb rdn

lcrrn|hnu p`rnkrhcg nkn|mx+ Rdhu hke|ncun `j p`rnkrhcgnkn|mx e|ncrnb ck hke|ncun hk fhknrhe nkn|mx

$Ceegn|crh`k( }dhed ec~unb rdn pc|fnb ec| r` i`zn

j~|rdn| $j`|en(+




³ Hke|ncuhkm rdn dnhmdr `j rdn |cip hke|ncunb rdn



Hke|ncuhkm rdn dnhmdr `j rdn |cip hke|ncunb rdn

lcrrn|hnu p`rnkrhcg nkn|mx+ Rdhu hke|ncun `j p`rnkrhcgnkn|mx e|ncrnb ck hke|ncun hk fhknrhe nkn|mx

$Ceegn|crh`k( }dhed ec~unb rdn pc|fnb ec| r` i`zn

j~|rdn| $j`|en(+




³ Rdn i`|n icuu cbbnb r` rdn pc|fnb ec| $}cudn|u(




bne|ncunb rdn bhurcken hr r|czngnb cjrn| lnhkm ur|~ef+







Rdn i`|n icuu cbbnb r` rdn pc|fnb ec| $}cudn|u(

bne|ncunb rdn bhurcken hr r|czngnb cjrn| lnhkm ur|~ef+






³ X`~ ud`~gb ln c}c|n rdcr Kn}r`ku gc}u `j i`rh`k c|n |ncg ckb rdnx eck ln bncbgx u` ln

ucjn+






³ X`~ ud`~gb ln c}c|n rdcr Kn}r`kºu Gc}u `j i`rh`k c|n |ncg ckb rdnx eck ln bncbgx u` ln

ucjn+


\niniln|# Uncrlngru uczn ghznu+ Rdn|n hu

|``i r` ghzn hkuhbn `j rdn ec| hj ur|~ef dc|b+

X`~| `bbu `j u~|zhzcg bne|ncun }hrd`~r c



³ X`~| `bbu `j u~|zhzcg bne|ncun }hrd`~r c

uncrlngr+


]dx ud`~gb x`~ g``f l`rd }cxu }dnk

e|`uuhkm rdn ur|nnr0 \niniln| J9IC+

Ckhicrh`k `k rdn kntr ughbn



³ Ckhicrh`k ̀ k rdn kntr ughbn+




Ec|nn| @pp`|r~khrx1 E|cud |ne`kur|~erh`k+

B|c}u ~p`k e`kenpru hk pdxuheu ckb

icrdnicrheu



icrdnicrheu+


@JN S~nurh`k1 Bnue|hln rd|nn }cxu

p`rnkrhcg nkn|mx' ckb ednihecg nkn|mx c|n

e`ilhknb }hrd fhknrhe nkn|mx eck ln



e`ilhknb }hrd fhknrhe nkn|mx eck ln

e`ilhknb r` mnkn|crn ngner|hehrx+


Dxb|`p`}n| 1_`rnkrhcg nkn|mx r~|knb hkr`

Fhknrhe nkn|mx r~|knb hkr` ngner|hecg



nkn|mx+




Dxb|` p`}n| mczn |hun r` hkb~ur|x+ @kn `j

`~| nc|ghnur }cxºu r` dc|knuu nkn|mx+




_`rnkrhcg Nkn|mx_`rnkrhcg Nkn|mx



Hk Bhk`}|hm' ]cgnu+ ]crn| hu p~ipnb

j|`i rdn g`}n| gcfn r` rdn ~ppn| gcfn }dnk

ngner|hehrx hu g`} hk bnickb+



ngner|hehrx hu g`} hk bnickb+



B~|hkm rhinu dhmd ngner|hecg bnickb' rdn

ur`|nb p`rnkrhcg nkn|mx jg`}u b`}kdhgg r`

mnkn|crn ngner|hehrx $Fhknrhe(+



mn n c n n ne e x $ n e(

Rdn p|ènuu `j p~iphkm r` rdn ~ppn|Rdn p|ènuu `j p~iphkm r` rdn ~ppn||nun|z`h| ~unu i`|n nkn|mx rdck hu|nun|z`h| ~unu i`|n nkn|mx rdck hu

p|`b~enb j|ì hr jg`}hkm b`}kdhgg gcrn|+p|`b~enb j|ì hr jg`}hkm b`}kdhgg gcrn|+

Fhknrhe nkn|mx r` fhknrhe ngner|hecg nkn|mx




M|czhrx r~|ku p`rnkrhcg nkn|mx hk rhbnu' hkr`

fhknrhe nkn|mx $jg`}hkm rhbnu( hkr` ngner|hecg



nkn|mx+




Mn`rdn|icg )Fhknrhe nkn|mx dncr' r~|ku

}crn| hkr` urnci' }crn| |hunu ckb |~ku c




Urnci / E`cg ckb }``b l~|khkm ngner|he

pgckr



K~egnc| nkn|mx ³ Fhknrhe r` ngner|hecg ~uhkm

}crn|' urnci' ckb c r~|lhkn+



]dnk x`~ ghjr ck `laner' ednihecg nkn|mx

$c j`|i `j p`rnkrhcg nkn|mx( ur`|nb hk rdn



ednihecgu `lrchknb j|`i x`~| bhmnurnbj``b hu e`kzn|rnb hkr` rdn inedckhecg

nkn|mx $fhknrhe( ~unb r` i`zn x`~| c|i

ckb rdn `laner ~p}c|b ckb hkr` dncr mhznk

`jj lx x`~| l`bx


I~ed Lnrrn|# ]dnk x`~ ghjr ck `laner'

ednihecg nkn|mx $c j`|i `j p`rnkrhcg



nkn|mx( ur`|nb hk rdn ednihecgu `lrchknbj|`i x`~| bhmnurnb j``b hu e`kzn|rnb hkr`

rdn inedckhecg nkn|mx $fhknrhe( ~unb r`

i`zn x`~| c|i ckb rdn `laner ~p}c|b ckb

hkr` dncr mhznk `jj lx x`~| l`bx


I`|n r`pheu `k i`rh`k+ E`krhk~n r` ~un

Kn}r`kºu gc}u' ckb g``f cr j`|iu `j



nkn|mx+


Upnnb1 C incu~|n `j i`rh`k' 9 bhurckenUpnnb1 C incu~|n `j i`rh`k' 9 bhurckenbhzhbnb lx rhin+bhzhbnb lx rhin+





4? fi / < d|u 9 2? fi / d|4? fi / < d|u 9 2? fi / d|





Zng`ehrx 9 Upnnb $bhurcken / rhin( ckb Zng`ehrx 9 Upnnb $bhurcken / rhin( ckbbh|nerh`k+bh|nerh`k+




Upnnb 9

³ U hu |npgcen }hrd Z lnec~un zng`ehrx hu upnnb ckb

bh|nerh`k+



Rdn zng`ehrx `j rdn ec| hu 4? fi / d| / ]nur+




Rdn zng`ehrx `j rdn pgckn hu 5?? fi / d| / ]nur+




Rdn zng`ehrx `j rdn pgckn hu 5?? fi / d|




Rdn upnnb `j rdn pgckn hu 5?? fi / d|




Hr r``f c ec| `kn d`~| r` r|czng =? fhg`inrn|u+

³ D`} jcur }cu hr m h̀km hk Fhg`inrn|u ck d`~|0




Cku}n| 1 =? fi/d

³ Upnnb hu bhurcken $i( `zn| rhin $d(




Hr r``f c ec| `kn d`~| r` r|czng =? fhgìnrn|u b~n

K`|rd+

³ ]dcr }cu rdn zngèhrx `j rdn ec| hk Fhgìnrn|u ck



d`~|0


Cku}n| 1 =? fi / d / K`|rd

³ Upnnb hu bhurcken $i( `zn| rhin $d(




]dcr hu rdn upnnb hj bhurcken hu <??fi ckb rhin

hu 2 d`~|u0

³ ]cu rdn pn|u`k upnnbhkm0




<?? fi/2 d`~|u 9 >?fi/d

³ Rdn b|hzn| hu k`r upnnbhkm+




]dcr hu rdn upnnb hj c |~kkn| |~ku c bhurcken

`j 2?? inrn|u 5> une`kbu+




Cku}n| 33+2<4 fi/d

³ 2??i/5>u 9 33+2<4fi/d




D`} jc| bhb c ec| r|czng hj }cu m`hkm 8? fhg`inrn|u

ck d`~| j`| : ur|chmdr d`~|u0




Hk rdhu ecun' }n a~ur i~grhpgx rdn bhurcken

r|czngnb lx rdn rhin+ 8? fi/d| rhinu : d`~|u+




8? fi rhinu : d`~|u 9 >2? fi

³ Ednef x`~| }`|f' >2?/: ud`~gb ln 8?+




Cerhzhrx# Ecredhkm rdn Zh`gcr`|u+



j|ì rdn |`cbu nbmn+

³ J|ì c bhurcken' ur~bnkru ~un c ur`p}cred r`

rhin rdn upnnb `j ec|u j|ì rdn urc|r e`kn r` rdn

jhkhud e`kn+ ³ Upnnb 9 Bhurcken $5?? jr( bhzhbnb lx rhin $jr/une+(

³ I~grhpgx lx +:43 $jr/une r` ipd e`kzn|uh`k( 9 ipd

³ @zn| 5? ipd hu upnnbhkm hk rdn zhggcmn+

³ E|ncrn ghur `j cgg rdn upnnbu ckb rdnk czn|cmn+

³ B`nu rdn zhggcmn dczn c upnnbhkm p|`lgni0

Ceengn|crh`k 9 Rdn |crn `j edckmn hk zngèhrx+ Ceengn|crh`k 9 Rdn |crn `j edckmn hk zngèhrx+




Ceengn|crh`k 9 Rdn jhkcg zngèhrx Ceengn|crh`k 9 Rdn jhkcg zngèhrx rdn urc|rhkm zngèhrx' bhzhbnb lx rhin+rdn urc|rhkm zngèhrx' bhzhbnb lx rhin+



]dhed ec| ceengn|crnu rdn jcurnur hk rdn

ckhicrh`k lng`} `zn| rdn j~gg bhurcken0




]d` b` x`~ rdhkf]d` b` x`~ rdhkf}hgg }hk rdn |cen0}hgg }hk rdn |cen0






]d` b` x`~]d` b` x`~rdhkf }hgg }hkrdhkf }hgg }hk

rdn |cen0rdn |cen0






]d` b`]d` b`x`~x`~

rdhkf }hggrdhkf }hgg}hk rdn}hk rdn|cen0|cen0






]d` b`]d` b`x`~x`~

rdhkfrdhkf}hgg }hk}hgg }hkrdnrdn|cen0|cen0

Rdn lg~n ec| ceengn|crnu rdn jcurnur `zn| rdn j~gg

bhurcken+ Rdn |nb ec| dcb c m``b urc|r l~r

ug`}nb b`}k+




Rdn lg~n ec| ceengn|crnu rdn jcurnur `zn| rdn j~gg

bhurcken+ Rdn |nb ec| dcb c m``b urc|r l~r

ug`}nb b`}k+




3?? inrn|u3?? inrn|u

Cku}n|# <? i / une+




3? inrn|u3? inrn|u

Lcrick-u lcr i`lhgn hu r|cznghkm cr 4?i/u }dnk

hr r~|ku `k hru |`efnr l``urn|u ceengn|crhkm rdn

lcr i`lhgn r` <?? i/u hk 2 une`kbu+ ]dcr hu

rdn lcr i`lhgnu ceengn|crh`k0




Rdn ns~crh`k hu rdn jhkcg zng`ehrx $<??i/u( ihk~u

rdn urc|rhkm zng`ehrx $4?i/u( bhzhbnb lx rdn rhin $2

une`kbu(+






une`kbu(+

<??)4? / 2



<?? 4? / 2




une`kbu(+

<??)4? / 2 9 5? i/u



<?? 4? / 2 5? i/u


C ~khexeghur }cu r|cznghkm cr < i/u ckb upnnb ~p

r` : i/u hk 5 une`kbu+ ]dcr }cu rdn

ceengn|crh`k0




D``r D``r D``r D``r

Bhb ckxl`bx unn Bhb ckxl`bx unn

in0in0



in0in0


µD``r² µD``r² µRdn ~khexeghuru c|n b`hkm m|ncr#² µH

}hud H e`~gb b` rdcr#²




Rdn jhkcg zng`ehrx $: i/u( ihk~u rdn urc|rhkm

zng`ehrx $< i/u( bhzhbnb lx rdn rhin $5 une`kbu( 9

ceengn|crh`k+




Ceengn|crh`k 9 3+555 i / u




Nkb _c|r HH / Z

_gncun g``f j`| _c|r HHH / Z

`k c knhmdl`|hkm zhbn`+



`k c knhmdl`|hkm zhbn`+I`rh`k ckb Icedhknu ^khr


zhbn` H)Z' ~khr k`rnu' cuunuuinkru' gcldckb`~ru' |nzhn} mcinu' zhbn`u' ckb

i~ed i`|n cr

}}}+uehnkenp`}n|p`hkr+e`i

Nkb _c|r HH / Z








i~ed i`|n cr


Nkb _c|r HH / Z








i~ed i`|n cr


I`|n ^khru Czchgclgn cr¦

Nc|rd Uehnken1 Rdn U`hg Uehnken ckb Mgcehn|u ^khr Rdn Mn`g`mx R`pheu



Nc|rd Uehnken1 Rdn U`hg Uehnken ckb Mgcehn|u ^khr' Rdn Mn`g`mx R`pheu^khr' Rdn Cur|`kìx R`pheu ^khr' Rdn ]ncrdn| ckb Eghicrn ^khr' ckb Rdn\hzn| ^khr' Rdn ]crn| I`gne~gn ^khr+

_dxuhecg Uehnken1 Rdn Gc}u `j I`rh`k ckb Icedhknu ^khr' Rdn Crìuckb _n|h`bhe Rclgn ^khr' Rdn Nkn|mx ckb rdn Nkzh|`kinkr ^khr' ckb RdnHkr|`b~erh`k r` Uehnken / Inr|he ^khr+

Ghjn Uehnken1 Rdn Bhuncunu ckb Enggu ^khr' Rdn BKC ckb Mnknrheu ^khr'Rdn Ghjn R`pheu ^khr' Rdn _gckr ^khr' Rdn Rct`kìx ckb Egcuuhjhecrh`k^khr' Ne`g`mx1 Jnnbhkm Gnzngu ^khr' Ne`g`mx1 Hkrn|cerh`ku ^khr' Ne`g`mx1 Clh`rhe Jcer`|u' Rdn Nz`g~rh`k ckb Kcr~|cg Ungnerh`k ^khr ckb eìhkm

u``k Rdn Ckcrìx ckb _dxuh`g`mx ^khr+








Ghjn Uehnken1 Rdn Bhuncunu ckb Enggu ^khr' Rdn BKC ckb Mnknrheu ^khr'Rdn Ghjn R`pheu ^khr' Rdn _gckr ^khr' Rdn Rct`kìx ckb Egcuuhjhecrh`k^khr' Ne`g`mx1 Jnnbhkm Gnzngu ^khr' Ne`g`mx1 Hkrn|cerh`ku ^khr' Ne`g`mx1 Clh`rhe Jcer`|u' Rdn Nz`g~rh`k ckb Kcr~|cg Ungnerh`k ^khr ckb eìhkm

u``k Rdn Ckcrìx ckb _dxuh`g`mx ^khr+








Ghjn Uehnken1 Rdn Bhuncunu ckb Enggu ^khr' Rdn BKC ckb Mnknrheu ^khr'Rdn Ghjn R`pheu ^khr' Rdn _gckr ^khr' Rdn Rct`k`ix ckb Egcuuhjhecrh`k

laws of motion and machines unit part ii/v - download .ppt at

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