Download - Chapter 13 (List)
-
7/21/2019 Chapter 13 (List)
1/40
KABTWJS2;
OE[W
Tbhj 2ln 74
Kabptjr2;
Oest
Jxjrkesj -22
Bfswjr 2
Hevjf0-
2. X = :444t
3.
HM = 4.;m
;.
w = 34t
7.
g = :m
Wbf = g * w
X * HM
Wbf = : * 34
:444 * 4.;
Wbf = 244
2:44
Wbf = 4.4>>8
= Wbf-2(4.4>>8)
= ;.13 lr ; 75
Oest ln taj saep es ;.13 lr ; 75
Bfswjr 3
Hevjf0-
2 X (t) = 1444
3 HM (m) = 3
Etjm X(t) g (m) Gerjktelf Mlmjfts
Tlrt [tcg
[aentjg 344 7 [tcg 4 144
[aentjg 244 3 Tlrt 344 4
[aentjg 244 7 Tlrt 744 4
[aentjg :4 34 [tcg 4 2444
Wltbo >44 2144
-
7/21/2019 Chapter 13 (List)
2/40
KABTWJS2;
OE[W
Tbhj 3ln 74
Wltbo Mlmjfts = [tcg Mlmjfts - Tlrt Mlmjfts
Wltbo Mlmjfts = 2144 - >44
Wltbo Mlmjfts = 2344 [tcg
Wbf = Wltbo Mlmjfts
X * HM
Wbf = 2344
2>444
Wbf = 4.48:4
= 7.35 [tcg
Oest ln taj saep es 7.35 tl [tcg
Bfswjr ;
Hevjf0-
2 X (t) = 24444
3 IH (m) = 8; IM (m) = 8.7
Etjm X (t) IH /g (m)
Mlmjfts
(tm)
[aep 24444 8 84444
saentjg glwf 344 24 -3444
Wltbo 24444 >1444
Nefbo IH ln vjssjo = Wltbo Mlmjfts
Wltbo Xjehat
Nefbo IH ln vjssjo = >1444
24444
Nefbo IH ln vjssjo = >.144 m
-
7/21/2019 Chapter 13 (List)
3/40
KABTWJS2;
OE[W
Tbhj ;ln 74
Nefbo HM ln vjssjo = IM - Nefbo IH ln vjssjo
Nefbo HM ln vjssjo = 8.7 - >.144
Nefbo HM ln vjssjo = 4.>44 m
Etjm X(t) g (m) Gerjktelf Mlmjfts
Tlrt [tcg
[aentjg 344 : [tcg 4 2444
Wltbo 4 2444
Wltbo Mlmjfts = [tcg Mlmjfts - Tlrt Mlmjfts
Wltbo Mlmjfts = 2444 - 4
Wltbo Mlmjfts = 2444 [tcg
Wbf = Wltbo Mlmjfts
X * HM
Wbf = 2444
>444
Wbf = 4.2>>8
= 5.7> [tcg
Oest ln taj saep es 5.7> tl [tcg
-
7/21/2019 Chapter 13 (List)
4/40
KABTWJS2;
OE[W
Tbhj 7ln 74
Bfswjr 7
Hevjf0-
2 X (t) = 23444
3 HM (m) = 2.3
Etjm X (t) IH /g (m)
Mlmjfts
(tm)
saentjg up 244 2.: -2:4
Wltbo 4 -2:4
Kabfhj ef HM ln vjssjo = Wltbo Mlmjfts
Wltbo Xjehat
Kabfhj ef HM ln vjssjo = -2:4
23444
Kabfhj ef HM ln vjssjo = -4.42; m
Nefbo HM ln vjssjo = Efefbo HM ln vjssjo + Kabfhj ef HM
Nefbo HM ln vjssjo = 2.3 - 4.42;
Nefbo HM ln vjssjo = 2.211 m
Etjm
X(t) g (m) Mlmjfts
[aentjg 244 23 2344
Wltbo 2344
Wltbo Mlmjfts = 2344
-
7/21/2019 Chapter 13 (List)
5/40
KABTWJS2;
OE[W
Tbhj :ln 74
Wbf = Wltbo Mlmjfts
X * HM
Wbf = 2344
273:4
Wbf = 4.4173
= 7.12
Oest ln taj saep es 7.12
Hevjf0-
2 X (t) = 23444
3
IM (m)
= :.85
; IH(m) = 7.1:
Etjm X (t) IH /g (m)
Mlmjfts
(tm)
[aep 75:4 7.1: 37448.:
Olbg :4 2.3: >3.:
Wltbo :444 37484
Nefbo IH ln vjssjo = Wltbo Mlmjfts
Wltbo Xjehat
Nefbo IH ln vjssjo = 37484:444
Nefbo IH ln vjssjo = 7.127 m
Nefbo HM ln vjssjo = IM - Nefbo IH ln vjssjo
Nefbo HM ln vjssjo = :.85 - 7.127
Nefbo HM ln vjssjo = 4.58> m
-
7/21/2019 Chapter 13 (List)
6/40
KABTWJS2;
OE[W
Tbhj >ln 74
EtjmX(t) g (m) Gerjktelf Mlmjfts
Tlrt [tcg
[aentjg :4 7 Tlrt 344 4
Wltbo 344 4
Wltbo Mlmjfts = [tcg Mlmjfts - Tlrt Mlmjfts
Wltbo Mlmjfts = 4 - 344
Wltbo Mlmjfts = 344 Tlrt
Wbf = Wltbo Mlmjfts
X * HM
Wbf = 344
7114.4
Wbf = 4.4724
= 3.;: Tlrt
Oest ln taj saep es 3.;: tl plrt
Bfswjr >
Hevjf0-
2 X (t) = 24444
3 IM (m) = 1.3:
; IH(m) = 8.7:
Etjm X (t) IH /g (m)
Mlmjfts
(tm)
[aep 24444 8.7: 87:44
Geskabrhjg -244 3.7: -37:
Wltbo 5544 873::
-
7/21/2019 Chapter 13 (List)
7/40
KABTWJS2;
OE[W
Tbhj 8ln 74
Nefbo IH ln vjssjo = Wltbo Mlmjfts
Wltbo Xjehat
Nefbo IH ln vjssjo = 873::
5544
Nefbo IH ln vjssjo = 8.:42 m
Nefbo HM ln vjssjo = IM - Nefbo IH ln vjssjo
Nefbo HM ln vjssjo = 1.3: - 8.:42
Nefbo HM ln vjssjo = 4.875 m
EtjmX(t) g (m) Gerjktelf Mlmjfts
Tlrt [tcg
Geskabrhjg -244 > Tlrt 4 >44
Wltbo 4 >44
Wltbo Mlmjfts = [tcg Mlmjfts - Tlrt Mlmjfts
Wltbo Mlmjfts = >44 - 4
Wltbo Mlmjfts = >44 [tcg
Wbf = Wltbo Mlmjfts
X * HM
Wbf = >44
8734.4
Wbf = 4.4145
= 7.>3 [tcg
Oest ln taj saep es 7.>3 tl stcg
-
7/21/2019 Chapter 13 (List)
8/40
KABTWJS2;
OE[W
Tbhj 1ln 74
Bfswjr 8
Hevjf0-
2 X (t) = 24444
3
IM (m)
= 5.>
; IH(m) = 1.;
Etjm X (t) IH /g (m)
Mlmjfts
(tm)
[aep 24444 1.; 1;444
Geskabrhjg -344 24 -3444
Geskabrhjg -144 3.; -2174Geskabrhjg -:44 :.3 -3>44
Olbgs 3:4 1 3444
Olbgs 3:4 23 ;444
Wltbo 5444 12:>4
Nefbo IH ln vjssjo = Wltbo Mlmjfts
Wltbo Xjehat
Nefbo IH ln vjssjo = 12:>4
5444
Nefbo IH ln vjssjo = 5.4>3 m
Nefbo HM ln vjssjo = IM - Nefbo IH ln vjssjo
Nefbo HM ln vjssjo = 5.> - 5.4>3
Nefbo HM ln vjssjo = 4.:;1 m
EtjmX(t) g (m) Gerjktelf Mlmjfts
Tlrt [tcg
Geskabrhjg -344 : Tlrt 4 2444
Geskabrhjg -144 7 [tcg ;344 4
Geskabrhjg -:44 ; Tlrt 4 2:44
Olbgs 3:4 4 4
Olbgs 3:4 4 4
Wltbo ;344 3:44
Wltbo Mlmjfts = [tcg Mlmjfts - Tlrt Mlmjfts
-
7/21/2019 Chapter 13 (List)
9/40
KABTWJS2;
OE[W
Tbhj 5ln 74
Wltbo Mlmjfts = 3:44 - ;344
Wltbo Mlmjfts = 844 Tlrt
Wbf = Wltbo Mlmjfts
X * HM
Wbf = 844
7174.4
Wbf = 4.277>
= 1.3; Tlrt
Bfswjr 1
Hevjf0-
2 X (t) = 5444
3
IM (m)
= 1.5:; IH(m) = 1.;
Etjm X (t) IH /g (m)
Mlmjfts
(tm)
[aep 5444 1.; 87844
Olbgs >44 7 3744
Geskabrhjg -744 5 -;>44
[aentjg Zp 344 : 2444
[aentjgGlwf ;44 2 -;44
Wltbo 5344 87344
Nefbo IH ln vjssjo = Wltbo Mlmjfts
Wltbo Xjehat
Nefbo IH ln vjssjo = 87344
5344
Nefbo IH ln vjssjo = 1.4>: m
Oest ln saep es 1.3; Tlrt
-
7/21/2019 Chapter 13 (List)
10/40
KABTWJS2;
OE[W
Tbhj 24ln 74
Nefbo HM ln vjssjo = IM - Nefbo IH ln vjssjo
Nefbo HM ln vjssjo = 1.5: - 1.4>:
Nefbo HM ln vjssjo = 4.11: m
EtjmX(t) g (m) Gerjktelf Mlmjfts
Tlrt [tcg
Olbgs >44 ; Tlrt 2144 4
Geskabrhjg -744 : Tlrt 4 3444
[aentjg Zp 344 1 [tcg 4 2>44
[aentjg Glwf ;44 7 plrt 2344 4
4 4 4 4
Wltbo ;444 ;>44
Wltbo Mlmjfts = [tcg Mlmjfts - Tlrt Mlmjfts
Wltbo Mlmjfts = ;>44 - ;444
Wltbo Mlmjfts = >44 [tcg
Wbf = Wltbo Mlmjfts
X * HM
Wbf = >44
1274.4
Wbf = 4.48;8
= 7.33 [tcg
Oest ln saep es 7.33 [tcg
-
7/21/2019 Chapter 13 (List)
11/40
KABTWJS2;
OE[W
Tbhj 22ln 74
Bfswjr 5
Hevjf0-
2 X (t) = 21444
3
IM (m)
= 1.5;:
; IH(m) = 8.8:
Etjm X (t) IH /g (m)
Mlmjfts
(tm)
[aep 21444 8.8: 2;5:44
Geskabrhjg -2:44 > -5444
Olbgs :44 24 :444[aentjg Zp :44 3 2444
[aentjg
Glwf 144 3 -2>44
Wltbo 28444 2;7544
Nefbo IH ln vjssjo = Wltbo Mlmjfts
Wltbo Xjehat
Nefbo IH ln vjssjo = 2;754428444
Nefbo IH ln vjssjo = 8.5;: m
Nefbo HM ln vjssjo = IM - Nefbo IH ln vjssjo
Nefbo HM ln vjssjo = 1.5;: - 8.5;:
Nefbo HM ln vjssjo = 2.444 m
EtjmX(t) g (m) Gerjktelf Mlmjfts
Tlrt [tcg
Geskabrhjg -2:44 ; Tlrt 4 7:44
Olbgs :44 7 Tlrt 3444 4
[aentjg Zp :44 7 [tcg 4 3444
[aentjg Glwf 144 ; plrt 3744 4
4 4 4 4
Wltbo 7744 >:44
-
7/21/2019 Chapter 13 (List)
12/40
KABTWJS2;
OE[W
Tbhj 23ln 74
Wltbo Mlmjfts = [tcg Mlmjfts - Tlrt Mlmjfts
Wltbo Mlmjfts = >:44 - 7744
Wltbo Mlmjfts = 3244 [tcg
Wbf = Wltbo Mlmjfts
X * HM
Wbf = 3244
2>55:.4
Wbf = 4.23;>
= 8.47 [tcg
Bfswjr 24
Hevjf0-
2 X (t) = 23444
3 IM (m) = 8.:7
; IH(m) = >.1
7 Efetebo Oest = 1 T
Efetebo HM = IM - IH
Efetebo HM = 8.:7 - >.1
Efetebo HM = 4.87 m
Wbf (1) = w * g
X *HM
4.274: = w * 24
23444 * 4.87
237.1t = w
Oest ln saep es 8.47 [tcg
Xjehat tl cj saentjg es 237.1t
-
7/21/2019 Chapter 13 (List)
13/40
KABTWJS2;
OE[W
Tbhj 2;ln 74
Bfswjr 22
Hevjf0-
2 X (t) = 7444
3 IM (m) = 24
; IH(m) = 5
7 Efetebo Oest = 24 T
: Nefbo HM (m) 2
Efetebo HM = IM - IH
Efetebo HM = 24 - 5
Efetebo HM = 2 m
Wbf = HH'
HM
Wbf 24 = HH'
2
4.28>m = HH'
EtjmX(t) g (m) Gerjktelf Mlmjfts
Tlrt [tcg
[aep 7444 4.28> Tlrt 84:.; 4.4
Olbgs 2>444 ; 4.4 4.4
4 4 7 Tlrt 4.4 4.4
4 4 7 [tcg 4.4 4.4
4 4 ; plrt 4.4 4.4
4 4 4.4 4.4
Wltbo 84:.; 4.4
Wltbo Mlmjfts = [tcg Mlmjfts - Tlrt Mlmjfts
Wltbo Mlmjfts = 4 - 84:.;
Wltbo Mlmjfts = 84:.;41 Tlrt
Wbf = Wltbo Mlmjfts
X * HM
Wbf = 84:.;
-
7/21/2019 Chapter 13 (List)
14/40
KABTWJS2;
OE[W
Tbhj 27ln 74
34444.4
Wbf = 4.4;:;
= 3.43 Tlrt
Bfswjr 23
Hevjf0-
2.
X =24444t
3.
HM = 2.:m
;.
Efetebo oest = : [tcg7. Nefbo HM = 4.:m
Wbf = HH'
HM
Wbf (:) = HH'
2.:
4.2;2m = HH'
EtjmX(t) g (m) Gerjktelf Mlmjfts
Tlrt [tcg
[aep 24444 4.2;2 [tcg 4.4 2;23.;
Wltbo 4.4 2;23.;
Wltbo Mlmjfts = [tcg Mlmjfts - Tlrt Mlmjfts
Wltbo Mlmjfts = 2;23.;; - 4
Wltbo Mlmjfts = 2;23.;; [tcg
Wbf = Wltbo Mlmjfts
X * HM
Nefbo Oest ln saep weoo cj 3.43 tl plrt
-
7/21/2019 Chapter 13 (List)
15/40
KABTWJS2;
OE[W
Tbhj 2:ln 74
Wbf = 2;23.;
:444.4
Wbf = 4.3>3:
= 27.82 [tcg
Bfswjr 2;
Hevjf0-
2 X (t) = 1:443 IM (m) = 5
; IH(m) = 1.;
7 Efetebo Oest = 1.: T
: Nefbo IM (m)= 5.;
Efetebo HM = IM - IH
Efetebo HM = 5 - 1.;
Efetebo HM = 4.8 m
Wbf = HH'
HM
Wbf
(1.:) = HH'
4.8
4.24: = HH'
Etjm X (t) IH /g (m)
Mlmjfts
(tm)
[aep 1:44 1.; 84::4
Geskabrhjg -344 7 -144
Geskabrhjg -;44 : -2:44
Olbgs 244 3 344
[aentjg Zp 344 3 744
Wltbo 1244 >11:4
Nefbo Oest ln saep weoo cj 27.82 tl stcg
-
7/21/2019 Chapter 13 (List)
16/40
KABTWJS2;
OE[W
Tbhj 2>ln 74
Nefbo HM = Nefbo IMNefbo IH
Nefbo HM = 5.;m1.:m
Nefbo HM = 4.1m
Etjm X(t) g (m) Gerjktelf Mlmjfts
Tlrt [tcg
[aep 1:44 4.24: Tlrt 115.3 4.4
Geskabrhjg -344 : [tcg 2444.4 4.4
Geskabrhjg -;44 3 Tlrt 4.4 >44.4
Olbgs 244 7 [tcg 4.4 744.4
[aentjg Zp 344 ; [tcg 4.4 >44.4
Wltbo 2115.3 2>44.4
Wltbo Mlmjfts = [tcg Mlmjfts - Tlrt Mlmjfts
Wltbo Mlmjfts = 2>44 - 2115
Wltbo Mlmjfts = 315.3;;: Tlrt
Wbf = Wltbo Mlmjfts
X * HM
Wbf = 315.3>714.4
Wbf = 4.477>
= 3.:> Tlrt
Nefbo Oest ln saep weoo cj 3.:> tl plrt
-
7/21/2019 Chapter 13 (List)
17/40
KABTWJS2;
OE[W
Tbhj 28ln 74
Bfswjr 27
Hevjf0-
2. Gespobkjmjft = 2:444t
3.
IH = 1.8m;.
IM = 5.:m
7. Efetebo Oest = 24 Tlrt
:. G = 23m
Efetebo HM = IMIH
Efetebo HM = 5.:m1.8m
Efetebo HM = 4.1m
Wbf = w * gX * HM
Wbf(24) = w * g
2:444 * 4.1
Etjm X (t) Gerjktelf Mlmjfts
T (tm) [ (tm)
[aep 2:444 322:
Olbgs +:44 [tcg 3:44
Geskabrhjg -;44 Tlrt 2344
Wltbo 2:344 322: ;844
Wltbo mlmjfts = [tcg mlmjftsTlrt Mlmjfts
Wltbo mlmjfts = ;844322:
Wltbo mlmjfts = 2:1: tm
Wltbo mlmjfts = w * g
2:1: = w * 23
2:1: = w
23
2;3.2t =w
Xjehat ln [X tabt abs tl cj trbfsnjrrjg es 2;3.2t
-
7/21/2019 Chapter 13 (List)
18/40
KABTWJS2;
OE[W
Tbhj 21ln 74
Bfswjr 2:
Hevjf0-
2 X (t) = 233:4
3 IM (m) = 5.1
; IH(m) = 5
7 Efetebo Oest = >.: [
: Nefbo IM (m)= 5.>
Efetebo HM = IM - IH
Efetebo HM = 5.1 - 5
Efetebo HM = 4.1 m
Wbf = HH'
HM
Wbf (>.:) = HH'
4.1
4.452 = HH'
Etjm X (t) IH /g (m)
Mlmjfts
(tm)
[aep 233:4 5 2243:4
Olbgs 23:4 1 24444
Geskabrhjg -3:4 3 -:44
[aentjg Glwf 2>4 5 -2774
Wltbo 2;3:4 221;24
Nefbo IH ln vjssjo = Wltbo Mlmjfts
Wltbo Xjehat
Nefbo IH ln vjssjo = 221;24
2;3:4
Nefbo IH ln vjssjo = 1.535 m
-
7/21/2019 Chapter 13 (List)
19/40
KABTWJS2;
OE[W
Tbhj 25ln 74
Nefbo HM = Nefbo IMNefbo IH
Nefbo HM = 5.>m1.535m
Nefbo HM = 4.>82m
Etjm X(t) g (m) Gerjktelf Mlmjfts
Tlrt [tcg
[aep 233:4 4.452 [tcg 4.4 222>.>
Olbgs 23:4 3 [tcg 4.4 3:44.4
Geskabrhjg -3:4 : [tcg 23:4.4 4.4
[aentjg 2>4 24 plrt 2>44.4 4.4
Wltbo 31:4.4 ;>2>.>
Wltbo Mlmjfts = [tcg Mlmjfts - Tlrt Mlmjfts
Wltbo Mlmjfts = ;>2>.:>5 - 31:4
Wltbo Mlmjfts = 8>>.:>5 [tcg
Wbf = Wltbo Mlmjfts
X * HM
Wbf = 8>>.>
1154.4
Wbf = 4.41>3
= 7.5; [tcg
Nefbo Oest ln saep weoo cj 7.5; tl [tcg
-
7/21/2019 Chapter 13 (List)
20/40
KABTWJS2;
OE[W
Tbhj 34ln 74
Bfswjr 2>
Hevjf0-
2. X = 1444t
3.
IM = 1.>m;.
IH = 1.4m
7. IH ln kbrhl = 24m
:. Gestbfkj ln KO = 1m
>. Sjsuotbft Oest = ;
HM = IMIH
HM = 1.>m1.4m
HM =4.>m
Etjm Xjehat (t) IH (m) Mlmjfts (tm)
[aep 1444 1 >7444
Kbrhl wbsajg -x 24 -24x
Wltbo 1444-x >7444-24x
Nefbo IH ln saep = Wltbo Mlmjfts
Wltbo Xjehat
Nefbo IH ln saep = >7444-24x
1444-x
Nefbo HM ln saep = IMIH
Nefbo HM ln saep = 1.>(>7444-24x)
1444-x
Nefbo HM ln saep = 1.>(1444x)>7444 + 24x
1444-x
Nefbo HM ln saep = >11441.>x>7444 +24x
1444x
Nefbo HM ln saep = 7144 + 2.7x
1444 - x
Etjm Xjehat (t) Gestbfkj ln KLO (m) Mlmjfts (tm)
[aep 1444 4 4
Kbrhl wbsajg -x 1 1x
Wltbo 1444-x 1x
Nefbo Mlmjfts = 1x
Wbf = Wltbo MlmjftsX * HM
-
7/21/2019 Chapter 13 (List)
21/40
KABTWJS2;
OE[W
Tbhj 32ln 74
Wbf = 1x
(1444-x) * HM
Wbf(;) = 1x * (1444x)
(1444-x) * (7144 + 2.7>x)
3:2.::8 + 4.488x = 1x
3:2.::8 = 8.53;x
;2.8 t =x
Bfswjr 28
Hevjf0-
2.
X =2>444t
3.
IM = 8.:m
;. IH = >.4m
7. WTK = 3:t/km
:. Efetebo oest = ; (Tlrt)
>. Sjquerjg grbnt = 1.1m
8.
Trjsjft grbnt = 1.>m
1.
[pbkj bvbeobcoj es :m ln kjftjr oefj lf jetajr segj
HM = IMIH
HM = 8.:m>m
HM = 2.:m
Wbf = w *g
X * HM
Wbf (;) = w * g
2>444 * 2.:
23:8.1tm =w * g
Efetebo trbfsvjrsj mlmjfts = 238:.1tm (Tlrt)
Mbxemum pjrmessecoj sefibhj = Grbnt rjquerjgEfetebo grbnt
Mbxemum pjrmessecoj sefibhj = 1.1m1.>m
Mbxemum pjrmessecoj sefibhj = 4.3m/34kms
Kbrhl tl olbg = WTK * Mbxemum pjrmessecoj sefibhj
Xjehat ln kbrhl wbsajg es ;2.8t
-
7/21/2019 Chapter 13 (List)
22/40
KABTWJS2;
OE[W
Tbhj 33ln 74
Kbrhl tl olbg = 3: * 34kms
Kbrhl tl olbg = :44t
Etjm X(t) Gestbfkj ln K.O (m) Gerjktelf Mlmjfts (tm)T [
[aep 2>444 23:8.1
Olbg x : Tlrt :x
Olbg :44-x : [tcg 3:44:x
Wltbo 2>:44 23:8.1 + :x 3:44:x
Nlr saep tl cj uprehat Tlrt mlmjfts = [tcg mlmjfts
23:8.1 + :x = 3:44:x
24x = 2373.3
x = 237.3t
Kbrhl tl olbg ef plrt segj = 237.3t
Kbrhl tl olbg ef stcg segj = :44t237.3t
Kbrhl tl olbg ef stcg segj = ;8:.1t
Bfswjr 21
Hevjf0-
2. X = 23444t
3. IM = 5m
;. IH = 8.3:m
7. Kbrhl tl olbg (w)=344t
:. Ajbg ln gjrreki = 37 m bclvj ijjo
>.
Lutrjbka ln wabrn = 2:m
e)
IH ln ajbg ln gjrreki = 37m
IH ln saep =-8.3:m
g = 2>.8:m
Kabfhj ef ^KH = w * g
X + w
Kabfhj ef ^KH = 344 * 2>.8:
23444 + 344
-
7/21/2019 Chapter 13 (List)
23/40
KABTWJS2;
OE[W
Tbhj 3;ln 74
Kabfhj ef ^KH = ;;:4
23344
Kabfhj ef KH = 4.38:m
Efetebo IH ln vjssjo = 8.3:mKabfhj ef ^KH =+4.38:m
Nefbo IH ln vjssjo = 8.:3:m
Nefbo HM = IMNefbo IH
Nefbo HM = 5m8.:3:m
Nefbo HM = 2.78:m
Wbf = w * g
(X + w)* HM
Wbf = 344 * 2:
(23444+344) * 2.78:
Wbf = 344 * 2:
23444 * 2.78:
Wbf = 4.2>>8
= Wbf-2
(4.2>>8)
= 5.7>
Oest es 5.7> stcg
ee)
IH ln gjki = 24m
IH ln saep =-8.3:m
g = 3.8:m
Kabfhj ef ^KH = w * g
X + w
Kabfhj ef ^KH = 344 * 3.8:
23444 + 344
Kabfhj ef KH = ::4
23344
Kabfhj ef KH = 4.47:m
-
7/21/2019 Chapter 13 (List)
24/40
KABTWJS2;
OE[W
Tbhj 37ln 74
Efetebo IH ln vjssjo = 8.3:m
Kabfhj ef ^KH =+4.47:m
Nefbo IH ln vjssjo = 8.35:m
Nefbo HM = IMNefbo IH
Nefbo HM = 5m8.35:m
Nefbo HM = 2.84:m
Wbf = w * gW
(X + w)* HM
Wbf = 344 * 8
(23444+344) * 2.84:
Wbf = 344 * 823444 * 2.84:
Wbf = 4.4>8;
= Wbf-2
(4.4>8;)
= ;.1:
Oest es ;.1: stcg
Bfswjr 25
Hevjf0-
2. X = 24444t
3. IM = 8.;m
;. IH = >.1m
7. Kbrhl tl saent (w)=244t
:.
IH ln kbrhl = 24m
>.
Ajbg ln gjrreki = 31 m bclvj ijjo
8.
IH ln Olwjr Alog = 3m
1. Efetebo oest = : Tlrt
IM = IH + HM efetebo
IMIH = HM efetebo
8.;>.1 = HM efetebo
4.:m = HM efetebo
-
7/21/2019 Chapter 13 (List)
25/40
KABTWJS2;
OE[W
Tbhj 3:ln 74
e)
Wbf = w *g
X * HM
Wbf (:) = w * g24444 *4.:
7;8.7 = w * g
Efetebo Wrbfsvjrsj Mlmjft es 7;8.7tm tl plrt
IH ln ajbg ln gjrreki = 31m
IH ln kbrhl =-24m
g = 21m
Kabfhj ef ^KH = w * gX
Kabfhj ef ^KH = 244 * 21
24444
Kabfhj ef KH = 4.21m
Efetebo IH ln vjssjo = >.1m
Kabfhj ef ^KH =+4.21m
Nefbo IH ln vjssjo = >.51m
Nefbo HM = IMNefbo IH
Nefbo HM = 8.;m>.51m
Nefbo HM = 4.;3m
Wbf = w * g
X * HM
Wbf = 7;8.7
24444 * 4.;3
Wbf = 4.2;>8
= Wbf-2
(4.2;>8)
= 8.81
Oest es 8.81 plrt
-
7/21/2019 Chapter 13 (List)
26/40
KABTWJS2;
OE[W
Tbhj 3>ln 74
ee)
Wbf = w *g
X * HM
Wbf (:) = w * g24444 *4.:
7;8.7 = w * g
IH ln ajbg ln gjrreki = 31m
IH ln kbrhl =-24m
g = 21m
Kabfhj ef ^KH = w * g
X
Kabfhj ef ^KH = 244 * 21
24444
Kabfhj ef KH = 4.21m
Efetebo IH ln vjssjo = >.1m
Kabfhj ef ^KH =+4.21m
Nefbo IH ln vjssjo = >.51m
Nefbo HM = IMNefbo IH
Nefbo HM = 8.;m>.51m
Nefbo HM = 4.;3m
Etjm X(t) Gestbfkj ln K.O (m) Gerjktelf Mlmjfts (tm)
T [
[aep 24444 7;8.7
[aent 244 > [tcg >44
Wltbo 24444 7;8.7 >44
Wltbo Mlmjfts = [tcg mlmjftsplrt mlmjfts
Wltbo Mlmjfts = >447;8.7
Wltbo Mlmjfts = 2>;.>tm
Wbf = Wltbo Mlmjfts
X * HM
Wbf = 2>;.>24444 * 4.;3
-
7/21/2019 Chapter 13 (List)
27/40
KABTWJS2;
OE[W
Tbhj 38ln 74
Wbf = 4.4:22
= Wbf-2
(4.4:22)
= 3.53
Oest es 3.53 stcg
eee)
Wbf = w *g
X * HM
Wbf (:) = w * g
24444 *4.:
7;8.7 = w * g
IH ln Z.A = 24m
IH ln O.A =-3m
g = 1m
Kabfhj ef ^KH = w * g
X
Kabfhj ef ^KH = 244 * 124444
Kabfhj ef KH = 4.41m
Efetebo IH ln vjssjo = >.1m
Kabfhj ef ^KH =-4.41m
Nefbo IH ln vjssjo = >.83m
Nefbo HM = IMNefbo IH
Nefbo HM = 8.;m
>.83m
Nefbo HM = 4.:1m
Etjm X(t) Gestbfkj ln K.O (m) Gerjktelf Mlmjfts (tm)
T [
[aep 24444 7;8.7
[aent 244 > [tcg >44
Wltbo 24444 7;8.7 >44
Wltbo Mlmjfts = [tcg mlmjftsplrt mlmjfts
-
7/21/2019 Chapter 13 (List)
28/40
KABTWJS2;
OE[W
Tbhj 31ln 74
Wltbo Mlmjfts = >447;8.7
Wltbo Mlmjfts = 2>;.>tm (stcg)
Wbf = Wltbo Mlmjfts
X * HM
Wbf = 2>;.>
24444 * 4.:1
Wbf = 4.4313
= Wbf-2
(4.4313)
= 2.>2
Oest es 2.>2 stcg
Bfswjr 34
Hevjf0-
2.
X = 2;444t
3.
IM = 1.8: m
;.
IH = 1m
7.
Kbrhl tl geskabrhj (w)=2:4t:. IH ln kbrhl = 5m
>. Ajbg ln gjrreki = 33 m bclvj ijjo
8.
Efetebo oest = > [tcg
IM = IH + HM efetebo
IMIH = HM efetebo
1.8:1 = HM efetebo
4.8:m = HM efetebo
e)
Wbf = w *g
X * HM
Wbf (>) = w * g
2;444 *4.8:
2437.1 = w * g
-
7/21/2019 Chapter 13 (List)
29/40
KABTWJS2;
OE[W
Tbhj 35ln 74
Efetebo Wrbfsvjrsj Mlmjft es 2437.1 tm tl stcg
IH ln ajbg ln gjrreki = 33m
IH ln kbrhl =- 5m
g = 2;m
Kabfhj ef ^KH = w * g
X
Kabfhj ef ^KH = 2:4 * 2;
2;444
Kabfhj ef KH = 4.2:m
Efetebo IH ln vjssjo = 1m
Kabfhj ef ^KH =+4.2:m
Nefbo IH ln vjssjo = 1.2:m
Nefbo HM = IMNefbo IH
Nefbo HM = 1.8: m1.2:m
Nefbo HM = 4.>m
Wbf = w * g
X * HM
Wbf = 2437.12;444 * 4.>
Wbf = 4.2;23
= Wbf-2
(4.2;23)
= 8.78
Oest es 8.78 stcg
ee)
Etjm X(t) Gestbfkj ln K.O (m) Gerjktelf Mlmjfts (tm)
T [
[aep 2;444 2437.1
[aent 2:4 (:+24=2:) plrt 33:4
Wltbo 24444 33:4 2437.1
-
7/21/2019 Chapter 13 (List)
30/40
KABTWJS2;
OE[W
Tbhj ;4ln 74
Wltbo Mlmjfts = Tlrt mlmjftsstcg mlmjfts
Wltbo Mlmjfts = 33:42437.1
Wltbo Mlmjfts = 233:.3tm tl Tlrt
Wbf = Wltbo Mlmjfts
X * HM
Wbf = 233:.3
2;444 * 4.>
Wbf = 4.2:82
= Wbf-2
(4.2:82)
= 1.53
Oest es 1.53 plrt
eee)
IH ln Kbrhl = 5m
IH ln saep =-1m
g = 2m
Kabfhj ef ^KH = w * gX-w
Kabfhj ef ^KH = 2:4 * 2
2;444-2:4
Kabfhj ef ^KH = 2:4 * 2
231:4
Kabfhj ef KH = 4.423m
Efetebo IH ln vjssjo = 1m
Kabfhj ef ^KH =-4.423m
Nefbo IH ln vjssjo = 8.511m
Nefbo HM = IMNefbo IH
Nefbo HM = 1.8:m8.511m
Nefbo HM = 4.8>3m
-
7/21/2019 Chapter 13 (List)
31/40
KABTWJS2;
OE[W
Tbhj ;2ln 74
Etjm X(t) Gestbfkj ln K.O (m) Gerjktelf Mlmjfts (tm)
T [
[aep 2;444 2437.1
Geskabrhj -2:4 : Tlrt 8:4
Wltbo 231:4 8:4 2437.1
Wltbo Mlmjfts = [tcg mlmjftsTlrt mlmjfts
Wltbo Mlmjfts = 2437.1 - 8:4
Wltbo Mlmjfts = 387.1tm (plrt)
Wbf = Wltbo Mlmjfts
X * HM
Wbf = 387.1231:4 * 4.8>3
Wbf = 4.4312
= Wbf-2
(4.4312)
= 2.>2
Oest es 2.>2 stcg
Bfswjr 32
Hevjf0-
2.
Gespobkjmjft = 24444t
3. IM = 24.1m
;.
IH = 5m
7. Efetebo Oest = 24 [tcg
:. Gemjfselfs ln tbfi = 23m * 23m * 5m
SG ln NX = 2.444
IM = IH + HM efetebo
IMIH = HM efetebo
24.11 = HM efetebo
2.1m = HM efetebo
-
7/21/2019 Chapter 13 (List)
32/40
KABTWJS2;
OE[W
Tbhj ;3ln 74
Gestbfkj cjtwjjf kjftjr ln hrbvety ln twl tbfis es 23m
e)
Wbf = w *g
X * HM
Wbf (24) = w * g
24444 *2.1
;28;.5 = w * g
Efetebo Wrbfsvjrsj Mlmjft es ;28;.5 tm tl stcg
Wl klrrjkt oest stcg mlmjfts = plrt mlmjfts
[tcg mlmjfts = w * g
;28;.5 = w *23
;28;.5 = w
23
3>7.:t = w
23m
H
23m 23m
5m23m
H
-
7/21/2019 Chapter 13 (List)
33/40
KABTWJS2;
OE[W
Tbhj ;;ln 74
ee
e = OC;
23
N[J = e * SG ln NX
23 * Gespobkjmjft
N[J = O * C;* SG ln NX
23 * Gespobkjmjft
N[J = 23 * (23);* 2.444
23 * 24444
N[J = 4.28;m
N[J ln 2 tbfi = 4.28;m
N[J ln 3 tbfis = 3 * 4.28;m ([emeobr ef gemjfselfs)
N[J ln 3 tbfis = 4.;7>m
Xjehat saentjg =2 * ^loumj ln tbfi * SG ln NX
;
Xjehat saentjg = 2 * O * C * A * SG ln NX
;
Xjehat saentjg = 2 * 23 * 23 * 5 * 2.444
;
23m
H
23m 23m
5m23m
H
>m
;m
;m
-
7/21/2019 Chapter 13 (List)
34/40
KABTWJS2;
OE[W
Tbhj ;7ln 74
Xjehat saentjg = 7;3t
IH ln wjehat saentjg = >m + ; m
3
IH ln wjehat saentjg = 8.:mIH tl wajrj wjehat saentjg =-2.:m
g = >m
Kabfhj ef ^KH = w * g
X
Kabfhj ef ^KH = 7;3 * >
24444
Kabfhj ef KH = 4.3:5m
Efetebo IH ln vjssjo = 5m
Kabfhj ef ^KH =-4.3:5m
IH(s) ln vjssjo = 1.872m
N[J ln 3 tbfis =+4.;7>m
IH(n) = 5.418m
Nefbo HM = IMIH (n)
Nefbo HM = 24.1m5.418m
Nefbo HM = 2.82;m
Wrbfsvjrsj mlmjfts guj tl saentefh = w * gW
Wrbfsvjrsj mlmjfts guj tl saentefh = 7;3 * 23
Wrbfsvjrsj mlmjfts guj tl saentefh = :217tm (Tlrt)
Efetebo Mlmjfts =-;28;.5 (stcg)
Fjt Mlmjfts = 3424.2 (Tlrt)
Wbf = Fjt Mlmjfts
X * HM
Wbf = 3424.2
24444 * 2.82;
Wbf = 4.228;
= Wbf-2
(4.228;)
= >.>5
Oest es >.>5 plrt
-
7/21/2019 Chapter 13 (List)
35/40
KABTWJS2;
OE[W
Tbhj ;:ln 74
Bfswjr 33
Hevjf0-
2.
Gespobkjmjft (X) = 1444t3.
Xjehat saentjg (w) = :4t
;. Wrbfsvjrsj gestbfkj = 7m
7. N[M = 232>tm
:. IM = 8m
>. IH = >.7m
N[J = N[M
Gespobkjmjft
N[J = 232>
1444
N[J = 4.2:3m
IH (s) = >.7m
N[J =+4.2:3
IH (n) = >.::3m
IM = 8m
IH (n) =->.::3m
HM (n) = 4.771m
Wbf = Wrbfsvjrsj Mlmjfts
X * HM (n)
Wbf = w * g
X * HM (n)
Wbf = :4 * 7
1444 * 4.771
Wbf = 344
;:17
= Wbf-2
(4.4::1)
= ;.25
Nefbo oest ln taj vjssjo es ;.25
-
7/21/2019 Chapter 13 (List)
36/40
KABTWJS2;
OE[W
Tbhj ;>ln 74
Bfswjr 3;
Hevjf0-
2. X =24444t
3.
IM = 8.1m;.
IH = 8.48:m
7. SG ln ANL = 4.5:
:. Gemjfselfs ln jbka tbfi = 2:m * 23m * 3m
>. Fl ; stcg nefbo slufgefh = 2.3m
ANL klfsumjg = O * C * (Aslufgefh ) * SG ln leo
ANL klfsumjg = 2: * 23 * 4.1 * 4.5:
ANL klfsumjg = 2;>.1t
IH ln saep = 8.48:m
IH ln ANL klfsumjg =-2.>m
g = :.78:m
Kabfhj ef KH = w * g
X - w
Kabfhj ef KH = 2;>.1 * :.78:
244442;>.1
Kabfhj ef ^KH = 871.51
51>;.3
Kabfhj ef KH = 4.48>m
3m
23m
2:m
3m
23m
2:m
2.3m
4.1m
HH'
-
7/21/2019 Chapter 13 (List)
37/40
KABTWJS2;
OE[W
Tbhj ;8ln 74
Efetebo IH = 8.48:m
Kabfhj ef ^KH =+4.48>m
Nefbo IH (s) = 8.2:2m
e = OC;
23
N[J = e * SG ln ANL
23 * Gespobkjmjft
N[J = O * C;* SG ln ANL
23 * Gespobkjmjft
N[J = 2: * (23);* 4.5:
23 * 24444
N[J = 2: * 23 * 23 * 23 * 4.5:23 * 24444
N[J = 4.341m
IH (s) = 8.2:2m
N[J =+4.341
IH (n) = 8.;:5m
IM = 8.1m
IH (n) =-8.;:5m
HM (n) = 4.772m
Wbf = Wrbfsvjrsj Mlmjfts
X * HM (n)
Wbf = w * g
X * HM (n)
Wbf = 2;>.1 * >
24444 * 4.772
Wbf =134.1
7724
= Wbf-2
(4.2118)
= 24.>5
Nefbo oest ln taj vjssjo es 24.>5 tl Tlrt
-
7/21/2019 Chapter 13 (List)
38/40
KABTWJS2;
OE[W
Tbhj ;1ln 74
Bfswjr 37
Hevjf0-
2 X (t) = 5444
3 IM (m) = 1.43
; IH(m) = 8.:
EtjmX (t) IH /g (m)
Mlmjfts
(tm)
[aep 5444 8.: >8:44
Olbgs 3:4 23 ;444
Olbgs 2444 ; ;444
Geskabrhjg -3:4 1 -3444
N[M 2344
Wltbo 24444 83844
Nefbo IH ln vjssjo = Wltbo Mlmjfts
Wltbo Xjehat
Nefbo IH ln vjssjo = 83844
24444
Nefbo IH ln vjssjo = 8.384 m
Nefbo HM ln vjssjo = IM - Nefbo IH ln vjssjo
Nefbo HM ln vjssjo = 1.43 - 8.384
Nefbo HM ln vjssjo = 4.8:4 m
Etjm
X(t) g (m) Gerjktelf MlmjftsTlrt [tcg
[aep 5444 4.444 4 4.4 4.4
Olbgs 3:4 ; [tcg 4.4 8:4.4
Olbgs 2444 2 Tlrt 2444.4 4.4
Geskabrhjg -3:4 3 [tcg :44.4 4.4
[aents 244 ; [tcg 4.4 ;44.4
Wltbo 2:44.4 24:4.4
Wltbo Mlmjfts = [tcg Mlmjfts - Tlrt Mlmjfts
-
7/21/2019 Chapter 13 (List)
39/40
KABTWJS2;
OE[W
Tbhj ;5ln 74
Wltbo Mlmjfts = 24:4 - 2:44
Wltbo Mlmjfts = 7:4 Tlrt
Wbf = Wltbo Mlmjfts
X * HM
Wbf = 7:4.4
8:44.4
Wbf = 4.4>44
= ;.7; Tlrt
Bfswjr 3:
Hevjf0-
2. Gespobkjmjft (X) = 27444t
3.
IM = 5m
;.
IH = 8.1m
7. N[M = 3244tm
:.
Efetebo Oest = 1 Tlrt>. Wrbfsvjrsj gestbfkj = 24m
N[J = N[M
Gespobkjmjft
N[J = 3244
27444
N[J = 4.2:m
IH (s) = 8.1mN[J =+4.2:
IH (n) = 8.5:m
IM = 5m
IH (n) =-8.5:m
HM (n) = 2.4:m
Wbf = Wrbfsvjrsj Mlmjfts
X * HM (n)
Wbf(1) = w * gX * HM (n)
Nefbo Oest ln saep weoo cj ;.7; tl Tlrt
-
7/21/2019 Chapter 13 (List)
40/40
KABTWJS2;
OE[W
34>> = w *g
Wl klrrjkt taj oest Tlrt Mlmjfts = [tbrclbrg Mlmjfts
34>> = w * Wrbfsvjrsj gestbfkj
34>> = w * 24
34>> = w
24
34>.>t = w
Xjehat tl trbfsnjr es 34>.>t
-l4l-