Rotational Motion ( घूर्णन गति ) @irfanullah_mehar.pdf

Rotational Motion ( घूर्णन गति ) @irfanullah_mehar.pdf

1. Physics
<br>
Notes
<br>
IrfanullahMehar/
<br>
[email protected]
<br>
irfanullah_mehar
<br>
WorldofWisdom
<br>

2. )Cireulas
<br>
(Rotatonal
motfon)
<br>
motlon
(-g
<br>
moeuct Sreta(zr
3neje)
<br>
0Agulas
mometurn(a)
<br>
o(Circula mattn
1
<br>
50)
<br>
olo2025
<br>
Frdot
<br>
La,ass.
-3
<br>

3. of
<br>
(Radialveator)
-
<br>
b)
<br>

4. 2
<br>
J
<br>
-
<br>
P
<br>
p'(t=1)
<br>
P(t-o)
<br>
HI)
-
<br>
p(T0)
<br>
p'(,e)
<br>

5. NOTE
<br>
1
<br>
de
<br>
)80
<br>
2NTT
<br>
rad/s
<br>

6. (0
<br>
n
0.
+
<br>
4
<br>
(n)
<br>
2T
<br>
T
<br>
tr
<br>
às
<br>

7. (i)
<br>
a
<br>
dv
<br>
dt
<br>
V=y
<br>
feauf
<br>
t
<br>
V
<br>

8. NOTE
<br>
afs (Couttpodal)o5
<br>

9. NOT
E
<br>
fe
<br>
C
<br>
Fe
ma
<br>
Fer
<br>
Fet
<br>
,--fer
<br>
my mwT
<br>
-Fe
<br>
P
<br>
Fap
<br>
forse)
<br>

10. Fnet
F
<br>
dv
<br>
mv
<br>
Y
<br>
md
<br>
d
<br>
Y
<br>
Fnet
<br>
FhetJ
<br>

11. V
S,f
<br>
w,-f.
<br>
)
<br>
-Fscosao
<br>
W
AKE
<br>

12. Q.1
<br>
ti)twe=0
<br>

13. SolM
<br>
Beoond
<br>
T
<br>
30
<br>
21T
<br>
(0)Hw
<br>
=
2T
<br>
t |2Hr
<br>
2160D
<br>
3
200
<br>
mfvute
<br>
t=60
min3600sec
<br>
21
<br>
3600
<br>
)8
<br>
32sC,
<br>

14. Qo2
<br>
Qg
<br>
Ang
<br>
I0D
T
1mn
GOseo.
<br>
uen
<br>
60
<br>
60
<br>
30
<br>
i0T"
<br>
&econdheealle
<br>
tsbnea
<br>

15. Q.5
<br>
t2
<br>
|
6Tad
<br>
6-1.5
<br>
Ans
<br>
o0TTrag
<br>
2)
<br>
2
<br>
N
800
<br>
N
4o
Toune
<br>

16. Q.6|
<br>
Ans
<br>
TR
<br>
6
m
<br>
Tq,V
<br>
32)
<br>
4,-m/s
<br>
V
il6X6
<br>
3
<br>
J82+82
<br>
fimt|
<br>

17. Q.
<br>
Soltieyanct-aa
<br>
V
=t
<br>
t2see,
<br>
QB
<br>
Ans
<br>
U
Oms
<br>
V
<br>
V=
<br>
ume
<br>
-Ji6t6y
<br>
dv
d
<br>
42t 2x2
<br>
2
m
fs
<br>
4m
<br>
m
<br>

18. 4
<br>
-YO3
m
<br>
60
<br>
h
20
ps
<br>
d
<br>
olt
<br>
2l0:5)
<br>
Blacle
<br>
J2-02
<br>
pm
<br>
lo
<br>
Y
<br>
360
<br>
pm pS
<br>
6o
Ps
<br>
rps
<br>
2T
n
<br>
YpS
uwrd
pey
<br>
secmg
<br>

19. =
1600
<br>
2
<br>
fay
<br>
q4-
4Sihan
<br>
4g l6000X.3
<br>
)5s
<br>

20. Q11
<br>
Ang-
<br>
A)2.
<br>
mm
<br>
MH2)
<br>
feFey
<br>
he9
<br>
FcL
<br>
nyo
<br>
(m)
<br>
(h
=
2)
<br>

21. Ans-
<br>
20
<br>
SyTY20
<br>
=00m
<br>
VU2t 2a
<br>
80tO+2U x00
<br>
)60
<br>
SeconDetad
<br>
8O
<br>
(ur)o+2d(y)
<br>

22. f
<br>
(arala
<br>
(ogy)
<br>
Agploatfena
o
Gntripetalfree
<br>
voadi)
<br>
brfetfon(
atoRT)
<br>
Road
<br>
tun
<br>
fossafewn/no
sklddi
<br>

23. uo
Km/n
<br>
81A0,22Yi0
<br>
21X22
<br>
=oXBXIO
<br>
0.228))
<br>
1982
<br>
X1o5
<br>
1000U0
<br>
56llm
<br>

24. Q.15
<br>
Ane
<br>
Cyole
R
<br>
(shp)erta
g
<br>
(i)
a
<br>
10
m/
<br>
Vmax
Je
<br>
-0- X3X10
<br>
Vmun
1.732
1
<br>
52031
<br>
oriVmax
<br>
Nos'p
<br>
Vekm
<br>
V>Vax
<br>

25. NSin
<br>
T8ads
<br>
7)
<br>
tuns
<br>
teno
<br>
2
<br>
Jrg
tano
<br>
AS65)35))T
<br>

26. Ang
<br>
Q.17
<br>
Auek
<br>
COo
m
<br>
180x
<br>
V
50
m
<br>
ten
<br>
tmo
<br>
2000m
<br>
=20
m
<br>
5
<br>
19
<br>
200
o
m
<br>
D)180"
<br>
At
<br>

27. tomo
<br>
2
<br>
N
<br>
h?0
<br>
h
<br>
oX2X)
<br>
2000
X10
<br>
3
<br>
Ponding Golat
<br>
Fuet
<br>
Fuet
<br>
Nmg
<br>
ten
<br>
Y
<br>

28. Ans
<br>
V=
6m/
<br>
onfeal
<br>
Teine,
<br>
Ponalulamn
<br>
itaTcese
<br>
(m
<br>
fS)
<br>
6x6
<br>
3.6
Xlo
<br>
my
<br>
B6
<br>
36
<br>

29. R
<br>
tane
<br>
tano
<br>
time
<br>
N
<br>
tno
<br>
V2
<br>
Deathusell/Rotes
<br>
4=
2
<br>
t
<br>
t2T)
<br>
fem
Vz
<br>
VEE R
<br>
t2
<br>
atono
<br>
'sina
<br>
Lcos
<br>
Spe
<br>

30. Acese
<br>
R
<br>
Case-I
<br>
Rsine
<br>
m
<br>
NOTE
<br>
R
<br>
T
<br>
(
<br>
S)
<br>
m
coe(9m
<br>
Ymo'nJRy
<br>
R
<br>

31. Case-1
<br>
H=2R,
<br>
H-o
<br>
NOTE
<br>
La
<br>
lowest(a)pait
<br>
Vmax
<br>
(TE)-0E),
<br>
(KE+PE)
-
(KE+PE).
<br>
gR
<br>

32. Lew
<br>
(TE)m-
(E)_
<br>
m=md
<br>
H-R
<br>
R
<br>
U<E+PE)mKE+ PE,
<br>
VmR
<br>
5R
<br>
2
<br>
Tm
Tn
3g4
<br>

33. NOTE)
<br>
Case-IV
<br>
ane-V
<br>
Y-JaR
<br>
A
<br>
(Paallle)
<br>
T0
<br>
90
<br>
(
<br>

34. Q19/
<br>
0.5
K
<br>
h<R
<br>
TZ0
<br>
Tnv
<br>
T
O5
X16
<br>
TB
1
5
<br>
T3N)
<br>
+
(0:5
Xto)
<br>

35. ondGrradeoo13
<br>
Ans
<br>
n
<br>
Fe
<br>
h?
<br>
Topfe
<br>
T2T
<br>
J2
n
<br>
J
<br>

36. (n.o.I)
<br>
magS
<br>
n
<br>
2
<br>

37. dm
<br>
b)
<br>
dm!
<br>
(Radlius
Gyat)
<br>
fou
<br>
dJdm.
<br>
dm.r
<br>

38. ase-
<br>

39. (00)
<br>
Xe
<br>
X-x}
<br>
X
<br>
(-3,4)
<br>
(,0)
<br>
2kg
<br>
(2,0).
<br>
Inet
I
48t64
t512.
<br>
10kg
<br>
(o,
u)
<br>
1l|(0,0)
<br>
(8,0
<br>
Dnet545
k
<br>
(3,0)
<br>
(32)
<br>

40. |CO,0)
<br>
y2+80
+
l6
<br>
K
<br>
135
<br>
30cm
<br>
=252
<br>
3m
<br>
B.35Ky
<br>

41. 3
<br>
m
<br>
r,>
<br>
Ja2XJ?
<br>
Duet24
kg
m
<br>

42. NOTE)
<br>
Dem
<br>
cm
<br>
)+my
<br>

43. Y
<br>
X
<br>
YZ-0)
<br>
Y
<br>
|LzJxtIy
<br>

44. (Ring)
<br>
g0
<br>

45. Jn
my
<br>
k
Jr
<br>

46. R
<br>
plo
<br>
)1<JE
R
<br>

47. -
<br>
.R
<br>
-JR
<br>
-
<br>

48. IM?
<br>
)
2
<br>

49. ()zH5|
<br>
(3
<br>
Co
<br>
2
<br>
13
<br>
4
mL2
<br>
|2
<br>

50. L
<br>
L
<br>
|2
<br>
mr
<br>
|2
<br>
2ML
<br>
)22
<br>
ML2
<br>
M1
<br>
12
<br>

51. 2ndGrade
<br>
Q.22
<br>
Snd
Grade
<br>
cI(cG)
<br>
plw
<br>
'=6
<br>
fegR X-x1
<br>

52. Ans
<br>
R
DhdE
<br>
(Ring)
<br>

53. DndGrade
a
<br>
Q.23
<br>
Plate044d
<br>
(D)Althe
<br>
3
<br>
T0 fzgr2,3
<br>

54. nel
Grade
<br>
24)
<br>
9
<br>
3
<br>
5:2 3;5
<br>

55. Sol~
<br>
As
<br>
R
<br>
DeD1H)
<br>
)21
<br>
R
<br>
R
<br>
HollonoSphene
<br>
--
<br>
R2
<br>

56. Qa26
<br>
SolM
<br>
6
<br>
(
<br>
ma
<br>
Lem
<br>
()
Mq
22
<br>
Šona]:(9,0,
o')
lo,4,
o)P
<br>
6
<br>
6
<br>
6
<br>
ma?3mq
y
ma
<br>
1ma
<br>
6
<br>

57. Grade
<br>
Q.28
<br>
m
<br>
2MR?
<br>
3
<br>
2me?
<br>
E-2mR'
<br>
(ans-c
<br>

58. (A
<br>
Jis
<br>
JS
<br>
m
<br>
m
<br>

59. X
<br>
()108o0
<br>
B60D
<br>
+2MA
<br>
cm
<br>
7260A
cm
<br>
21T
R
b=121T
<br>
xx12X26X34
<br>

60. Ans
<br>
308)01)
<br>
0.33
1<gA m
<br>
2
<br>
X3.)4
<br>
nV
<br>
3
<br>
k
<br>

61. .82
<br>
As-
<br>
6.33
<br>
)
<br>
m
25ke
<br>
5
50|<g
m
3-)25
<br>
n20 pm
<br>
2
<br>
25
<br>
R
<br>
A,BC,D
<br>
25
X
65Yo5
<br>
fsTSAT5
<br>
6.25
<br>
X
<br>
25
X.
25
<br>
2
<br>
R
<br>

62. (A
<br>
SolM
<br>
20
<br>
-10+
<br>
–20
<br>
BB
<br>
(10,20)
<br>
(5,-10)
<br>
5X10y
<br>
1.4
5
X109
<br>
mr
<br>
C(oo,10)
<br>
20
<br>
25
<br>
(20-10)
<br>
x(cm)
<br>
(B)2
(0y
<br>

63. -925Ojmc
<br>
Snejo(Torgue)
<br>
Tosque
<br>
otattonalteel
<br>
)
<br>

64. NOT
E
<br>
fea)
<br>
Ex
<br>
Tfsn
<br>
(9o
<br>
MaX,
<br>
Handpumpo)er|
<br>

65. Zn
<br>
bl
<br>
i=1
<br>
Handle
<br>

66. 12t
<br>
3
<br>
|2-t
<br>
12
<br>
farg
<br>
12t
<br>
3oN
<br>
ceorn
<br>
t
<br>

67. 25m/s2
<br>
Ans
<br>
F30
N
<br>
f
<br>
So.25
Taa
<br>
raa
<br>
AT)?
<br>

68. Ane
<br>
U=5
km
<br>
tl5
<br>
o5
<br>
15So.
<br>
558
<br>
(Eqilatehal)
<br>
=20
<br>
3
<br>
N-m
<br>

69. a
<br>
F
<br>
Q.98)
<br>
PQ
<br>
A
<br>
f3
<br>
P
<br>
net
<br>
che)
<br>
F,-F.
<br>
Ane
A)
<br>
(GS1)e)
<br>

70. Sol
<br>
Qo39)
<br>
P
<br>
9
<br>
11111111
<br>
2
<br>
O.5
m
<br>
3
<br>
Ane
<br>
d
<br>

71. A)25
N
<br>
2
yOV YTYrad
<br>

72. <br>
Ane
<br>
xF
<br>
Argulan
Momentun
<br>
Ans-c
<br>
raromentunasocfatto
<br>
todhpatolei
golatiomalmot'en
<br>

73. L
aJ
<br>
I-p sin9n
<br>
(L=0)
<br>
L1P
<br>
(D)=
<br>
X-Y
<br>
X
<br>
L=rP
<br>
mVT
<br>
my?
<br>
(L-I
<br>

74. dL
<br>
d(7rp)
<br>
at
<br>
dPf
<br>
dt
<br>
d
<br>
At
<br>
dL
<br>
Lp-L;
<br>
At
<br>
i
<br>

75. Const,
<br>
-
<br>
12
<br>
2
<br>

76. KE,
<br>
Treondatent
<br>
(mass (n)
<br>
v u
at
<br>
(2)
<br>
Sn
U+
%on-)
<br>
wr(03-)
<br>
dt
<br>

77. Pv
<br>
dp
<br>
b-0-Fs
-
fecose
<br>
(FoP=
Cenátuut)
<br>
-KE
<br>

78. NOTE
<br>
t
<br>
Lcoa.
<br>
Cent.
<br>
Pewe
<br>
(sotatig)
<br>

79. 2ndGradeg15
<br>
hd
Grsae
<br>
L
<br>
243
<br>
CONst.
<br>
cenat.
<br>
0.66hous
<br>
Ju,:so
<br>
al
<br>
1.5he
<br>

80. 2016
<br>
Snd
Gnradle
<br>
t
<br>
V,V
<br>
Talv's
)
<br>
Hl )
<br>
V
<br>
xv
<br>
64
<br>
T
d%
<br>
T2
<br>
.24
<br>
16
<br>
Tle5hews
<br>

81. 2nd
Gmade
<br>
W
d
<br>
2016.
<br>
Conét
<br>
3
<br>

82. 12
<br>
96
<br>
Cet
<br>
l2
<br>
)(4)
<br>
m
<br>
64
<br>
3mL?
+
2mL3M
<br>
W
<br>
200
<br>

83. 2n
Grrade
<br>
I
Cen
<br>
Ane-B
<br>

84. N
<br>
)
<br>

85. 20Cm
<br>
500m
<br>
|60
C
<br>
le2
<br>
(b.2)(2g)=(o.6)
(C:5(1.2)
(
mg)
<br>
tl>
m
<br>
200
C
<br>
l.2m
<br>

86. WhatWillIDoOfAWholeGarden,
<br>
IfMyFavouriteFlowerIsNotThere.
<br>

87. Physics
<br>
Notes
<br>
IrfanullahMehar/
<br>
V
[email protected]
<br>
irfanullah_mehar
<br>
WorldofWisdom
<br>

88. IrfanullahMehar12GhBio1O0%(2023)
<br>
KuchamanCity
<br>
BIOUGH
<br>