ONITS 4ND MEASUREMENT
Phy s i c a quanHy (Pg)umuucod
= *
r
wni t
volul (a ompauton)
ThL au seuUn t u n d u m e n t a l Pg n d u suPPlUmuay Pg
For comuusion ot und1s: n U n2 Uz
AddiHon and s t b a tHon R s u ahoud hauu s a m i uunb e
ot demad placs os present )n he valui w itu uast no oL
decàma plo CA.
nesuut is roundid
ulipi cauHon and dlvis lom ; ott to t samt no.
a s present in the
valu wim uastno. ot s
ErnomS oue aalways addeo in subs r a eHon c n d ad i H a .
p u c h o n und dvislon =ab m a/b
vanAHes rused to som pouuu ab1
P +°
no. o LsD
Vennier caui pers uast coun usp
no.oUsD
+ l 2e o error -
0 vs is en
riau e S.
2ero erron
- 0 o4 vs s on utt ot u-s
Serew e uast eount- Pitah
no.ot cD
+ul 2ero errom 0 ot CS
-
below base U n
- 2ero e r r o r 0 ot cS a b o base u n
Accuna ay
L.
,MOTION IN ID MOTION IN 30
Dis tanu scalau q vanHhy Proj ectiu moton
uétor q únH y
splacment Tme ot tuguUs1ns =
20LE
Maxi uunm nuqud- tsn'0 = D
Displaaumud: 2tsin
Dtstana >disp Ronge us) n20 - 201
Peediston e velee)y =displadumun*
&lau) m LLator) Pnge ton tëo ditterer
is sam
Jan
u1s
ue ety d s (slope ot sv/s tgrap) anau e} prejeàHon it
nst
aecetuaHon U-u Au
(ua qe) pnge is m a r i m u m w n a n = u r '
Ins ac
du islepe ot V Vst Bquoton of tra|eckory
rP" y-atan0- 4a-(pouabele
Eqvautons ot meHo
.Vevtau
. Sw+Lo y atan6 ( - )
3. vu+2aS 4Hmay e ptant
a S a m i sign n a u l u mo Ho
concOuR upP concol down
SPeRd SR w d8
uaoPP $1gh, sp esd v
MoHon wnder arauit a R
T+ue nuLnHon
te = t o e
a - 9 (uvays)
hot3T
Vu9a
RAlaine weloay laceldsp
-w
anur Va+at
UAB= UA-Us; aAB= aA-AB elu boat probllns
T) dbes not depehd an raumi ot shovtest h nl
UA
eenu. eitt- u2x h m
Tplaks ton& U
Uia
um
Short est p n
UAUmain
.V>o u n , s'sn^S
s umA
-a
3. vaug- i t u U Um81n
2
. D S t a n cu counud in nth seoon d
Shm Snh- stn-) laluuays vaud)
SnhUta(2n -) lwitorm aee)
S -B prebluns
Vmar = axt1= BB2 TumaR
t_6
vawa u max
2 total H n u - tItte -T
SaeHT odd n u m l e u
aiuo's taw ot
d i s kan u couud by a body
Svccessjue
som heiq u In cqu au
drepped ram
ne mbi rol, S!S. s:
: 3 :S:2:
, VECTORS
Vector additon
0', IR)= A+8
case I: 0-
Pouallloqram lauw 8
oseT: & 18D, IR) =4-8
RVAB'+ DA B eos0 case 0 - 90'; R = VA+B
tanN Bs)n0
A+BCOss0 tan A
at+t angu bekuee Aana8, MinR= RAs)n 0
T
.Tpjangu law
T+nelps Loheen
RA+B s t o Aar B.
IR)= VAt8't24B (os8
tan = Bs)n9 A
A +8cos b
Pes1Hom uLatanc)
Vecton subsraaHon
IR) VA+B-2A cos6
Ccoond nLis uort origin)
Cartes)an torm
oLaor isp lasemint wlatom
A Aat+ Ayi+A
14= VA't Ay'+ A Pg P.Vlg)) v (r)
Unit utetor, A A =
(a-a)+ly3-y)j+l22-1)
S alal A
or
produaDot
A.B At|B| cós6 I. CourmutouH u
.8 D' A.B =AB AB B.A = A = Aal+A Az
. 8 1 8 , A.B -AB Disib wi
8.0-90'; A.B = o. ALBe) =A.B.
. A.A =4 A.E Aa Ba tAy Byt42 B2
Cs caau)
Angu beuuen two uLatos
cos0e A.B
14 1B
Angu m a d i by ulcd on wlHh cooe d i n a U a e
Cos Aa cosf A; Cos
4
Y
cos'x+ cos^Bt¢ os'y =1.
Component o t 6 along A IBICos
E.A A
vect or an Cno s s
produat
AxB LAI) B]si n9n 1.AxB-Bx
E =0'; 1 B]=b
2.0 =18o', A*B| = 6 .Ax (E+2) - AxB+Ax7
s.6 90; 1AxB) =48
A + Ayt A: AxB E
B Bt+By+B Aa Ay A2
Ba By Ba
B
. Areao} 41r E]
.
Area of tlqm 14xB|
Phy s i c a quanHy (Pg)umuucod
= *
r
wni t
volul (a ompauton)
ThL au seuUn t u n d u m e n t a l Pg n d u suPPlUmuay Pg
For comuusion ot und1s: n U n2 Uz
AddiHon and s t b a tHon R s u ahoud hauu s a m i uunb e
ot demad placs os present )n he valui w itu uast no oL
decàma plo CA.
nesuut is roundid
ulipi cauHon and dlvis lom ; ott to t samt no.
a s present in the
valu wim uastno. ot s
ErnomS oue aalways addeo in subs r a eHon c n d ad i H a .
p u c h o n und dvislon =ab m a/b
vanAHes rused to som pouuu ab1
P +°
no. o LsD
Vennier caui pers uast coun usp
no.oUsD
+ l 2e o error -
0 vs is en
riau e S.
2ero erron
- 0 o4 vs s on utt ot u-s
Serew e uast eount- Pitah
no.ot cD
+ul 2ero errom 0 ot CS
-
below base U n
- 2ero e r r o r 0 ot cS a b o base u n
Accuna ay
L.
,MOTION IN ID MOTION IN 30
Dis tanu scalau q vanHhy Proj ectiu moton
uétor q únH y
splacment Tme ot tuguUs1ns =
20LE
Maxi uunm nuqud- tsn'0 = D
Displaaumud: 2tsin
Dtstana >disp Ronge us) n20 - 201
Peediston e velee)y =displadumun*
&lau) m LLator) Pnge ton tëo ditterer
is sam
Jan
u1s
ue ety d s (slope ot sv/s tgrap) anau e} prejeàHon it
nst
aecetuaHon U-u Au
(ua qe) pnge is m a r i m u m w n a n = u r '
Ins ac
du islepe ot V Vst Bquoton of tra|eckory
rP" y-atan0- 4a-(pouabele
Eqvautons ot meHo
.Vevtau
. Sw+Lo y atan6 ( - )
3. vu+2aS 4Hmay e ptant
a S a m i sign n a u l u mo Ho
concOuR upP concol down
SPeRd SR w d8
uaoPP $1gh, sp esd v
MoHon wnder arauit a R
T+ue nuLnHon
te = t o e
a - 9 (uvays)
hot3T
Vu9a
RAlaine weloay laceldsp
-w
anur Va+at
UAB= UA-Us; aAB= aA-AB elu boat probllns
T) dbes not depehd an raumi ot shovtest h nl
UA
eenu. eitt- u2x h m
Tplaks ton& U
Uia
um
Short est p n
UAUmain
.V>o u n , s'sn^S
s umA
-a
3. vaug- i t u U Um81n
2
. D S t a n cu counud in nth seoon d
Shm Snh- stn-) laluuays vaud)
SnhUta(2n -) lwitorm aee)
S -B prebluns
Vmar = axt1= BB2 TumaR
t_6
vawa u max
2 total H n u - tItte -T
SaeHT odd n u m l e u
aiuo's taw ot
d i s kan u couud by a body
Svccessjue
som heiq u In cqu au
drepped ram
ne mbi rol, S!S. s:
: 3 :S:2:
, VECTORS
Vector additon
0', IR)= A+8
case I: 0-
Pouallloqram lauw 8
oseT: & 18D, IR) =4-8
RVAB'+ DA B eos0 case 0 - 90'; R = VA+B
tanN Bs)n0
A+BCOss0 tan A
at+t angu bekuee Aana8, MinR= RAs)n 0
T
.Tpjangu law
T+nelps Loheen
RA+B s t o Aar B.
IR)= VAt8't24B (os8
tan = Bs)n9 A
A +8cos b
Pes1Hom uLatanc)
Vecton subsraaHon
IR) VA+B-2A cos6
Ccoond nLis uort origin)
Cartes)an torm
oLaor isp lasemint wlatom
A Aat+ Ayi+A
14= VA't Ay'+ A Pg P.Vlg)) v (r)
Unit utetor, A A =
(a-a)+ly3-y)j+l22-1)
S alal A
or
produaDot
A.B At|B| cós6 I. CourmutouH u
.8 D' A.B =AB AB B.A = A = Aal+A Az
. 8 1 8 , A.B -AB Disib wi
8.0-90'; A.B = o. ALBe) =A.B.
. A.A =4 A.E Aa Ba tAy Byt42 B2
Cs caau)
Angu beuuen two uLatos
cos0e A.B
14 1B
Angu m a d i by ulcd on wlHh cooe d i n a U a e
Cos Aa cosf A; Cos
4
Y
cos'x+ cos^Bt¢ os'y =1.
Component o t 6 along A IBICos
E.A A
vect or an Cno s s
produat
AxB LAI) B]si n9n 1.AxB-Bx
E =0'; 1 B]=b
2.0 =18o', A*B| = 6 .Ax (E+2) - AxB+Ax7
s.6 90; 1AxB) =48
A + Ayt A: AxB E
B Bt+By+B Aa Ay A2
Ba By Ba
B
. Areao} 41r E]
.
Area of tlqm 14xB|
