Chapter 12 (Free Surface Effect)

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  • 7/21/2019 Chapter 12 (Free Surface Effect)

    1/25

    ADCXZG_3?

    N_GG QW_NCAG GNNGAZ

    Xcig 3bn ?7

    Adcptgr3?

    Nrgg Qurncag Gnngat

    Gxgraesg -38

    Cfswgr 3

    Ievgf0-

    3.

    Jesplcagkgft (Y) ; 7888t

    ?.

    _J bn jegsgl bel ; 8.44

    1.

    Kbkgfts bn efgrtec ; ?:?k:

    NQA ; e * _J bn JB

    Y

    NQA ; ?:? * 8.44

    7888

    NQA ; 8.8:1k

    NQA bn tdg sdep es 8.8:1k

    Cfswgr ?

    Ievgf0-

    3.

    Y ; 7888t

    ?.

    _J bn QY ; 3.8?7

    1. Kbkgfts bn efgrtec (e) ; ?:?k:

    NQA ; e * _J bn QY

    Y

    NQA ; ?:? * 3.8?77888

    NQA ; 8.878k

    NQA bn tdg sdep es 8.878k

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    ADCXZG_3?

    N_GG QW_NCAG GNNGAZ

    Xcig ?bn ?7

    Cfswgr 1

    Ievgf0-

    3. Y ; >888t

    ?.

    MK ; 9.:k1.

    MI ; >.>k

    :. e ; 3?88k:

    _J bn NY ; 3.888

    NQA ; e * _J bn NY

    Y

    NQA ; 3?88 * 3.888

    >888

    NQA ; 8.?k

    MI(n) ; MI(s) + NQA

    MI(n) ; >.>k + 8.?k

    MI(n) ; >.4k

    MK ; MI(n) + IK(n)

    9.:k ; >.4k + IK(n)

    9.:k>.4k ; IK(n)

    8.>k ; IK(n)

    IK nluej bn tdg sdep es 8.>k

    Cfswgr :

    Ievgf0-

    3. Jesplcagkgft (Y) ;4488t

    ?.

    e ; 33>>k:

    1.

    _J bn DNB ; 8.57

    :.

    MK ; 38.3k

    7.

    MI ; 5k

    NQA ; e * _J bn NY

    Y

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    ADCXZG_3?

    N_GG QW_NCAG GNNGAZ

    Xcig 1bn ?7

    NQA ; 33>> * 8.57

    4488

    NQA ; 8.3?>k

    MI(n) ; MI(s) + NQA

    MI(n) ; 5k + 8.3?>k

    MI(n) ; 5.3?>k

    MK ; MI(n) + IK(n)

    38.3k ; 5.3?>k + IK(n)

    38.3k5.3?>k ; IK(n)

    8.59:k ; IK(n)

    IK nluej bn tdg sdep es 8.59:k

    Cfswgr 7

    Ievgf0-

    3.

    Jesplcagkgft (Y) ;3>888t?. L bn JO tcfm ; ?8k

    1. O bn JO tcfm ; 4k

    :.

    _J bn wctgr ; 3.838

    e ; LO1

    3?

    NQA ; e * _J bn wctgr

    3? * Jesplcagkgft

    NQA ; L * O1* _J bn wctgr

    3? * Jesplcagkgft

    NQA ; ?8 * (4)1* 3.838

    3? * 3>888

    NQA ; ?8 * 4 * 4 * 4 * 3.838

    3? * 3>888

    NQA ; 8.87:k

    NQA nbr tdg vgssgl es 8.87:k

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    ADCXZG_3?

    N_GG QW_NCAG GNNGAZ

    Xcig :bn ?7

    Cfswgr >

    Ievgf0-

    3. L bn tcfm ; 3?k

    ?.

    O bn tcfm ; 5k1.

    _J bn bel ; 8.9?

    :. Jesplcagkgft (Y) ; 3?888t

    7. MK ; 5k

    >. MI ; 4.7k

    e ; LO1

    3?

    NQA ; e * _J bn bel

    3? * Jesplcagkgft

    NQA ; L * O1* _J bn bel

    3? * Jesplcagkgft

    NQA ; 3? * (5)1* 8.9?

    3? * 3?888

    NQA ; 3? *5 * 5 * 5 * 8.9?

    3? * 3?888

    NQA ; 8.8::k

    MI(n) ; MI(s) + NQA

    MI(n) ; 4.7k + 8.8::k

    MI(n) ; 4.7::k

    MK ; MI(n) + IK(n)

    5k ; 4.7::k + IK(n)

    5k4.7::k ; IK(n)

    8.:7>k ; IK(n)

    IK nluej bn tdg sdep es 8.:7>k

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    ADCXZG_3?

    N_GG QW_NCAG GNNGAZ

    Xcig 7bn ?7

    Cfswgr 9

    Ievgf0-

    3. Jesplcagkgft (Y) ; 4888t

    ?.

    L bn tcfm ; 38k1.

    O bn tcfm ; 4k

    :. D bn tcfm ; 5k

    7. MK ; 9k

    >. MI ; >.?k

    9. 3/1 bn tcfm pukpgj but

    _J bn QY ; 3.8?7

    Kcss bn wctgr pukpgj but ; 3 * L * O * D * _J

    1

    Kcss bn wctgr pukpgj but ; 3 * 38 * 4 * 5 * 3.8?7

    1

    Kcss bn wctgr pukpgj but ; ?:>t (w)

    MI nrbk wdgrg wctgr pukpgj but ; (3 * dgeidt) + (? * dgeidt)

    1 * ? 1

    MI nrbk wdgrg wctgr pukpgj but ; (3 * 5) + (? * 5)

    1 *? 1

    MI nrbk wdgrg wctgr pukpgj but ; 3.7k + >k

    MI nrbk wdgrg wctgr pukpgj but ; 9.7k

    4k

    5k

    38k4k

    5k

    38k

    >k

    1k

    9.7k

    1k

    I

    I

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    ADCXZG_3?

    N_GG QW_NCAG GNNGAZ

    Xcig >bn ?7

    MI nrbk wdgrg wctgr jesadcrigj ; 9.7k

    MI bn sdep ;->.?k

    j 3.1k

    II ; w * j

    Yw

    II ; ?:> * 3.1

    4888?:>

    II ; ?:> * 3.1

    997:

    II ; 8.8:3k

    Nefcl jesplcagkgft ; Efetecl JesplcagkgftJesadcrig

    Nefcl jesplcagkgft ; 4888t?:>t

    Nefcl jesplcagkgft ; 997:t

    Efetecl MI bn tdg vgssgl ; >.?k

    II ;-8.8:3k

    Nefcl MI bn tdg vgssgl ; >.375k

    e ; LO1

    3?

    NQA ; e * _J bn wctgr

    3? * Jesplcagkgft

    NQA ; L * O1* _J bn wctgr

    3? * Jesplcagkgft

    NQA ; 38 * (4)1* 3.8?7

    3? * 997:

    NQA ; 38 *4 * 4 * 4 * 3.8?7

    3? * 997:

    NQA ; 8.87>k

    MI(n) ; MI(s) + NQA

    MI(n) ; >.375k + 8.87>k

    MI(n) ; >.?37k

    MK ; MI(n) + IK(n)

    9k ; >.?37k + IK(n)

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    ADCXZG_3?

    N_GG QW_NCAG GNNGAZ

    Xcig 9bn ?7

    9k>.?37k ; IK(n)

    8.947k ; IK(n)

    IK nluej bn tdg sdep es 8.947k

    Cfswgr 4

    Ievgf0-

    3. Jesplcagkgft (Y) ; 7888t

    ?. Jekgfsebfs bn tcfm ; 3>k * 38k * :k

    1.

    MK ; >.?k:. MI ; 9k

    7.

    Bel lbcjgj ; :88t

    >.

    _J bn bel ; 8.57

    _J bn bel ; Kcss bn bel

    ^blukg bn bel

    8.57 ; :88

    ^blukg bn bel

    ^blukg bn bel ; :88

    8.57

    ^blukg bn bel ; :?3.871k1

    ^blukg bn bel ; L * O * sbufjefi bn tcfm

    :?3.871 ; 3> * 38 * sbufjefi bn tcfm

    38k

    :k

    3>k

    I

    :88t

    Qbufjefi

    M

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    ADCXZG_3?

    N_GG QW_NCAG GNNGAZ

    Xcig 4bn ?7

    :?3.871 ; sbufjefi bn tcfm

    3> * 38

    ?.>1?k ; sbufjefi bn tcfm

    MI ; Qbufjefi

    ?

    MI ; ?.>1?

    ?

    MI ; 3.13>k

    Ygeidt (t) MI (k) Kbkgfts (tk)

    Qdep 7888 9 17888

    Lbcjgj :88 3.13> 7?>.:Zbtcl 7:88 177?>.:

    MI bn sdep cntgr lbcjefi ; Zbtcl kbkgfts

    Zbtcl wgeidt

    MI bn sdep cntgr lbcjefi ; 177?>.:

    7:88

    MI bn sdep cntgr lbcjefi ; >.795k

    e ; LO1

    3?

    NQA ; e * _J bn bel

    3? * Jesplcagkgft

    NQA ; L * O1* _J bn bel

    3? * Jesplcagkgft

    NQA ; 3> * (38)1* 8.57

    3? * 7:88

    NQA ; 3> *38 * 38 * 38 * 8.57

    3? * 7:88

    NQA ; 8.?17k

    MI(n) ; MI(s) + NQA

    MI(n) ; >.795k + 8.?17k

    MI(n) ; >.43:k

    MK ; MI(n) + IK(n)

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    ADCXZG_3?

    N_GG QW_NCAG GNNGAZ

    Xcig 5bn ?7

    9.?k ; >.43:k + IK(n)

    9.?k>.43:k ; IK(n)

    8.14>k ; IK(n)

    IK nluej bn tdg sdep es 8.14>k

    Cfswgr 5

    Ievgf0-

    3. Jekgfsebfs bn Xbrt tcfm ; 3?k * 7k * 4k

    ?.

    Jekgfsebfs bn Qtoj tcfm ; 3?k * 7k * 4k1. Xbrt tcfm null bn QY

    :.

    Qtoj tcfm es gkpty

    7.

    Jesplcagkgft (Y) ; 54:8t

    >. MK ; 4.7k

    9. MI ; 4k

    ^blukg bn gcad tcfm ; L * O * D

    ^blukg bn gcad tcfm ; 3? * 7 * 4

    ^blukg bn gcad tcfm ; :48k1

    3?k

    4k

    7k

    Xbrt Zcfm Qtoj Zcfm

    7k

    3?k

    7k

    Xbrt Zcfm Qtoj Zcfm

    7k

    :k

    I I

  • 7/21/2019 Chapter 12 (Free Surface Effect)

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    ADCXZG_3?

    N_GG QW_NCAG GNNGAZ

    Xcig 38bn ?7

    _J bn QY ; Kcss bn wctgr

    ^blukg bn wctgr

    3.8?7 ; Kcss bn wctgr

    :48

    3.8?7 * :48 ;Kcss bn wctgr

    :5?t ; Kcss bn wctgr

    Kcss bn wctgr trcfsngrrgj ; Zbtcl kcss bn wctgr

    ?

    Kcss bn wctgr trcfsngrrgj ; :5?

    ?

    Kcss bn wctgr trcfsngrrgj ; ?:>t

    MI bn kcss nrbk wdgrg sdentgj ; >k

    MI bn kcss tb wdgrg sdentgj ;-?k

    j ; :k

    II ; w *j

    Y

    II ; ?:> * :

    54:8

    II ; 8.3k ()

    MI bn sdep ; 4k

    II ;-8.3k

    9.5k

    e ; LO1

    3?

    NQA ; e * _J bn QY

    3? * Jesplcagkgft

    NQA ; L * O1* _J bn QY

    3? * Jesplcagkgft

    NQA ; 3? * (7)1* 3.8?7

    3? * 54:8

    NQA ; 3? *7 * 7 * 7 * 3.8?7

    3? * 54:8

    NQA ; 8.831k

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    ADCXZG_3?

    N_GG QW_NCAG GNNGAZ

    Xcig 3?bn ?7

    NQG ; Zbtcl e

    Zbtcl Jesplcagkgft

    NQG ; ?849.:

    38888

    NQG ; 8.?85 k

    MI(n) ; MI(s) + NQG

    MI (n) ; 4.57: + 8.?85

    MI (n) ; 5.3>1k

    MK ; MI(n) + IK(n)

    5.5k ; 5.3>1k + IK(n)

    5.5k5.3>1k ; IK(n)

    8.919k ; IK(n)

    IK nluej bn tdg vgssgl es 8.919k

  • 7/21/2019 Chapter 12 (Free Surface Effect)

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    ADCXZG_3?

    N_GG QW_NCAG GNNGAZ

    Xcig 31bn ?7

    Cfswgr 33

    Ievgf0-

    3 Jesplcagkgft t; 38888

    ? MK (k); 5.5

    Zcfm MI(k) E (kV:) Lequej _J _gkcrms

    Zbtcl "E"

    (kV:)

    NX Zcfm >.18 38 QY 3.8?7 Null 8

    Fb.3 JOZ 3.37 :?8 DNB 8.57 Qlcam 155

    Fb. ? X 8.>7 9?8 DNB 8.57 Null 8

    Fb.? Q 8.>7 9?8 DNB 8.57 Gkpty 8

    Fb.1 X 8.>7 ?:8 QY 3.8?7 Null 8Fb.1 Q 8.>7 ?:8 QY 3.8?7 Qlcam ?:>

    Fb.1 A 8.>8 3?88 DNB 8.57 Null 8

    Fb.: X 8.98 188 NY 3.888 Qlcam 188

    Fb.: Q 8.98 188 NY 3.888 Qlcam 188

    Fb.7 X 8.47 348 JB 8.44 Qlcam 374.:

    Fb.7 Q 8.47 388 DNB 8.57 Null 8

    CX Zcfm 4.48 ?8 QY 3.8?7 Gkpty 8

    Zbtcl 4.578 3:81.:

    NQG ; Zbtcl e

    Zbtcl Jesplcagkgft

    NQG ; 3:81.:

    38888

    NQG ; 8.3:8 k

    MI(n) ; MI(s) + NQG

    MI (n) ; 4.578 + 8.3:8

    MI (n) ; 5.858 k

    MK ; MI(n) + IK(n)

    5.5k ; 5.858k + IK(n)

    5.5k5.858k ; IK(n)

    8.438k ; IK(n)

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    ADCXZG_3?

    N_GG QW_NCAG GNNGAZ

    Xcig 3:bn ?7

    IK nluej bn tdg vgssgl es 8.438k

    Cfswgr 3?

    Ievgf0-

    3 Jesplcagkgft t; 38888

    ? MK (k); 5.5

    Zcfm MI(k) E (kV:) Lequej _J _gkcrms

    Zbtcl "E"

    (kV:)

    NX Zcfm >.18 38 QY 3.8?7 Qlcam 38.?7

    Fb.3 JOZ 3.37 :?8 DNB 8.57 Qlcam 155

    Fb. ? X 8.>7 9?8 DNB 8.57 Qlcam >4:

    Fb.? Q 8.>7 9?8 DNB 8.57 Gkpty 8

    Fb.1 X 8.>7 ?:8 QY 3.8?7 Null 8

    Fb.1 Q 8.>7 ?:8 QY 3.8?7 Null 8

    Fb.1 A 8.>8 3?88 DNB 8.57 Null 8

    Fb.: X 8.98 188 NY 3.888 Qlcam 188

    Fb.: Q 8.98 188 NY 3.888 Qlcam 188

    Fb.7 X 8.47 348 JB 8.44 Qlcam 374.:Fb.7 Q 8.47 388 DNB 8.57 Null 8

    CX Zcfm 4.48 ?8 QY 3.8?7 Qlcam ?8.7

    Zbtcl 4.448 349?.37

    NQG ; Zbtcl e

    Zbtcl Jesplcagkgft

    NQG ; 349?.37

    38888

    NQG ; 8.349 k

    MI(n) ; MI(s) + NQG

    MI (n) ; 4.448 + 8.349

    MI (n) ; 5.8>9 k

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    ADCXZG_3?

    N_GG QW_NCAG GNNGAZ

    Xcig 37bn ?7

    MK ; MI(n) + IK(n)

    5.5k ; 5.8>9k + IK(n)

    5.5k5.8>9k ; IK(n)

    8.411k ; IK(n)

    IK nluej bn tdg vgssgl es 8.411k

    Cfswgr 31

    Ievgf0-

    3 Jesplcagkgft (t); 38888? MK (k); 5.5

    Etgk Ygeidt (t) MI (k) Kbkgfts (tk)

    Qdep 38888 4.57: 457:8

    Abfsukg DNB -?88 3.37 -?18

    Dcll DNB -388 8.> ->8

    Cll Zdg NY -?88 8.9 -3:8

    Zbtcl 5788 45338

    Nefcl MI ; Zbtcl Kbkgfts

    Zbtcl Ygeidt

    Nefcl MI ; 45338

    5788

    Nefcl MI ; 5.148k

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    ADCXZG_3?

    N_GG QW_NCAG GNNGAZ

    Xcig 3>bn ?7

    Zcfm MI(k) E (kV:) Lequej _J _gkcrms

    Zbtcl "E"

    (kV:)

    NX Zcfm >.18 38 QY 3.8?7 Null 8

    Fb.3 JOZ 3.37 :?8 DNB 8.57 Gkpty 8

    Fb. ? X 8.>7 9?8 DNB 8.57 Qlcam >4:

    Fb.? Q 8.>7 9?8 DNB 8.57 Gkpty 8

    Fb.1 X 8.>7 ?:8 QY 3.8?7 Null 8

    Fb.1 Q 8.>7 ?:8 QY 3.8?7 Qlcam ?:>

    Fb.1 A 8.>8 3?88 DNB 8.57 Qlcam 33:8

    Fb.: X 8.98 188 NY 3.888 Gkpty 8

    Fb.: Q 8.98 188 NY 3.888 Gkpty 8

    Fb.7 X 8.47 348 JB 8.44 Qlcam 374.:

    Fb.7 Q 8.47 388 DNB 8.57 Null 8

    CX Zcfm 4.48 ?8 QY 3.8?7 Gkpty 8

    Zbtcl 5.148 ???4.:

    NQG ; Zbtcl e

    Zbtcl Jesplcagkgft

    NQG ; ???4.:

    5788

    NQG ; 8.?17 k

    MI(n) ; MI(s) + NQG

    MI (n) ; 5.148 + 8.?17

    MI (n) ; 5.>37 k

    MK ; MI(n) + IK(n)

    5.5k ; 5.>37k + IK(n)

    5.5k5.>37k ; IK(n)

    8.?47k ; IK(n)

    IK nluej bn tdg vgssgl es 8.?47k

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    ADCXZG_3?

    N_GG QW_NCAG GNNGAZ

    Xcig 39bn ?7

    Cfswgr 3:

    Ievgf0-

    3 Jesplcagkgft (t); 38888

    ? MK (k); 5.5

    Etgk Ygeidt (t) MI (k) Kbkgfts (tk)

    Qdep 38888 4.57: 457:8

    Abfsukg DNB -378 8.>7 -59.7

    Dcll DNB -78 8.> -18

    Cll Zdg NY -388 8.9 -98

    Zbtcl 5988 451:?.7

    Nefcl MI ; Zbtcl Kbkgfts

    Zbtcl Ygeidt

    Nefcl MI ; 451:?.7

    5988

    Nefcl MI ; 5.?33k

    Zcfm MI(k) E (kV:) Lequej _J _gkcrms

    Zbtcl "E"

    (kV:)

    NX Zcfm >.18 38 QY 3.8?7 Null 8

    Fb.3 JOZ 3.37 :?8 DNB 8.57 Qlcam 155

    Fb. ? X 8.>7 9?8 DNB 8.57 Gkpty 8

    Fb.? Q 8.>7 9?8 DNB 8.57 Gkpty 8

    Fb.1 X 8.>7 ?:8 QY 3.8?7 Null 8

    Fb.1 Q 8.>7 ?:8 QY 3.8?7 Qlcam ?:>Fb.1 A 8.>8 3?88 DNB 8.57 Qlcam 33:8

    Fb.: X 8.98 188 NY 3.888 Qlcam 188

    Fb.: Q 8.98 188 NY 3.888 Gkpty 8

    Fb.7 X 8.47 348 JB 8.44 Qlcam 374.:

    Fb.7 Q 8.47 388 DNB 8.57 Null 8

    CX Zcfm 4.48 ?8 QY 3.8?7 Gkpty 8

    Zbtcl 5.?33 ??:1.:

    NQG ; Zbtcl e

    Zbtcl Jesplcagkgft

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    ADCXZG_3?

    N_GG QW_NCAG GNNGAZ

    Xcig 34bn ?7

    NQG ; ??:1.:

    5988

    NQG ; 8.?13 k

    MI(n) ; MI(s) + NQG

    MI (n) ; 5.?33 + 8.?13

    MI (n) ; 5.::? k

    MK ; MI(n) + IK(n)

    5.5k ; 5.::?k + IK(n)

    5.5k5.::?k ; IK(n)

    8.:74k ; IK(n)

    IK nluej bn tdg vgssgl es 8.:74k

    Cfswgr 37

    Ievgf0-

    3 Jesplcagkgft (t); 38888

    ? MK (k); 38

    Etgk Ygeidt (t) MI (k) Kbkgfts (tk)

    Qdep 38888 4.57: 457:8

    Lbcjs Fb.? LD 3888 : :888

    Lbcjs Fb.: LD ?888 7 38888

    Zbtcl 31888 3817:8

    Nefcl MI ; Zbtcl Kbkgfts

    Zbtcl Ygeidt

    Nefcl MI ; 3817:8

    31888

    Nefcl MI ; 9.5>7k

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    ADCXZG_3?

    N_GG QW_NCAG GNNGAZ

    Xcig 35bn ?7

    ZcfmMI(k) E (kV:) Lequej _J _gkcrms

    Zbtcl "E"

    (kV:)

    NX Zcfm >.18 38 QY 3.8?7 Null 8

    Fb.3 JOZ 3.37 :?8 DNB 8.57 Qlcam 155

    Fb. ? X 8.>7 9?8 DNB 8.57 Qlcam >4:

    Fb.? Q 8.>7 9?8 DNB 8.57 Gkpty 8

    Fb.1 X 8.>7 ?:8 QY 3.8?7 Null 8

    Fb.1 Q 8.>7 ?:8 QY 3.8?7 Qlcam ?:>

    Fb.1 A 8.>8 3?88 DNB 8.57 Null 8

    Fb.: X 8.98 188 NY 3.888 Qlcam 188

    Fb.: Q 8.98 188 NY 3.888 Qlcam 188

    Fb.7 X 8.47 348 JB 8.44 Qlcam 374.:

    Fb.7 Q 8.47 388 DNB 8.57 Null 8

    CX Zcfm 4.48 ?8 QY 3.8?7 Gkpty 8

    Zbtcl 9.5>7 ?849.:

    NQG ; Zbtcl e

    Zbtcl Jesplcagkgft

    NQG ; ?849.:

    31888

    NQG ; 8.3>3 k

    MI(n) ; MI(s) + NQG

    MI (n) ; 9.5>7 + 8.3>3

    MI (n) ; 4.3?7 k

    MK ; MI(n) + IK(n)

    38k ; 4.3?7k + IK(n)

    38k4.3?7k ; IK(n)

    3.497k ; IK(n)

    IK nluej bn tdg vgssgl es 3.497k

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    ADCXZG_3?

    N_GG QW_NCAG GNNGAZ

    Xcig ?8bn ?7

    Cfswgr 3>

    Ievgf0-

    3. Jesplcagkgft ; 7888t

    ?.

    L bn tcfm ; 34k1.

    O bn tcfm ; 3?k

    _J bn QY es 3.8?7

    c)

    e ; LO1

    3?

    NQA ; e * _J bn QY

    3? * Jesplcagkgft

    NQA ; L * O1* _J bn QY

    3? * Jesplcagkgft

    NQA ; 34 * (3?)1* 3.8?7

    3? * 7888

    NQA ; 34 * 3? * 3? * 3? * 3.8?7

    3? * 7888

    NQA ; 8.713k

    o) e.

    NQG ;3 * Zbtcl nrgg surncag gnngat ef (c)

    f?

    NQG ;3 * 8.713 (Nrbk (c))

    ??

    NQG ; 3 * 8.713

    :

    NQG ; 8.311k

    o) ee.

    NQG ; 3 * NQG ef (o. e.)

    ?

    NQG ; 3 * 8.311 (Nrbk (o. e. ))

    ?

    NQG ; 8.8>9k

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    ADCXZG_3?

    N_GG QW_NCAG GNNGAZ

    Xcig ?3bn ?7

    a) e.

    NQG ;3 * Zbtcl nrgg surncag gnngat ef (c)

    f?

    NQG ;3 * 8.713 (Nrbk (c))1

    ?

    NQG ; 3 * 8.713

    5

    NQG ; 8.875k

    a) ee.

    NQG ; ? * NQG ef (a. e.)

    1

    NQG ; ? * 8.875 (Nrbk (a. e. ))

    1

    NQG ; 8.815k

    a) eee.

    NQG ; 3 * NQG ef (a. e.)

    1

    NQG ; 3 * 8.875 (Nrbk (a. e. ))

    1

    NQG ; 8.8?8k

    j) e.

    NQG ;3 * Zbtcl nrgg surncag gnngat ef (c)

    f?

    NQG ;3 * 8.713 (Nrbk (c))

    :?

    NQG ; 3 * 8.713

    3>

    NQG ; 8.811k

    j) ee.

    NQG ; 1 * NQG ef (j. e.)

    :

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    ADCXZG_3?

    N_GG QW_NCAG GNNGAZ

    Xcig ??bn ?7

    NQG ; 1 * 8.811 (Nrbk (j. e. ))

    :

    NQG ; 8.8?7k

    j) eee.

    NQG ; ? * NQG ef (j. e.)

    :

    NQG ; ? * 8.811 (Nrbk (j. e. ))

    :

    NQG ; 8.839k

    j) ev.

    NQG ; 3 * NQG ef (j. e.)

    :

    NQG ; 3 * 8.811 (Nrbk (j. e. ))

    :

    NQG ; 8.884k

    Cfswgr 39

    Ievgf0-

    3. Jesplcagkgft ; 38888t

    ?. L bn tcfm ; ?8k

    1.

    Jevejgj tcfm ef X, Q & A jevesebfs

    :.

    Orgctd bn X & Q tcfm ; :k

    7. Orgctd bn A tcfm ; 3?k

    c)

    e ; LO1

    3?

    NQA ; e * _J bn NY

    3? * Jesplcagkgft

    NQA ; L * O1* _J bn NY

    3? * Jesplcagkgft

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    ADCXZG_3?

    N_GG QW_NCAG GNNGAZ

    Xcig ?1bn ?7

    NQA ; ?8 * (:)1* 3.888

    3? * 38888

    NQA ; ?8 * : * : * : * 3.888

    3? * 38888

    NQA ; 8.833k

    o

    NQG bn obtd tcfms ; NQG bn bfg tcfm * ? (Obtd tcfms crg ejgfteacl)

    NQG bn obtd tcfms ; 8.833 * ? (Nrbk c)

    NQG bn obtd tcfms ; 8.8??k

    a

    e ; LO1

    3?

    NQA ; e * _J bn NY

    3? * Jesplcagkgft

    NQA ; L * O1* _J bn NY

    3? * Jesplcagkgft

    NQA ; ?8 * (3?)

    1

    * 3.8883? * 38888

    NQA ; ?8 * 3? * 3? * 3? * 3.888

    3? * 38888

    NQA ; 8.?44k

    j

    NQA bn cll tdrgg tcfms ; NQA bn X tcfm + NQA bn Q tcfm + NQA bn A tcfm

    NQA bn cll tdrgg tcfms ; 8.8??k + 8.8??k + 8.?44k

    NQA bn cll tdrgg tcfms ; 8.138k

    g

    e ; LO1

    3?

    NQA ; e * _J bn NY

    3? * Jesplcagkgft

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    ADCXZG_3?

    N_GG QW_NCAG GNNGAZ

    Xcig ?:bn ?7

    NQA ; L * O1* _J bn NY

    3? * Jesplcagkgft

    NQA ; ?8 * (?8)1* 3.888

    3? * 38888

    NQA ; ?8 * ?8 * ?8 * ?8 * 3.888

    3? * 38888

    NQA ; 3.111k

    Cfswgr 34

    c. Fb.3 JO

    o.

    Fb.1 X & Qa. Fb.? X & Q

    j.

    Fb.1 A

    Cfswgr 35

    c.

    Fb.: Q

    o.

    Fb.: X

    a. Fb.3 JO

    Cfswgr ?8

    Ievgf0-

    3. Y ;4888t

    ?. MK ; 9.5k

    1. MI ; 9.8k

    :.

    L bn tcfm ; 37k

    7.

    O bn tcfm ; 3?k

    >. _J bn bel ; 8.57

    e ; LO1

    3?

    NQA ; e * _J bn bel

    3? * Jesplcagkgft

    NQA ; L * O1* _J bn bel

    3? * Jesplcagkgft

    NQA ; 37 * (3?)1* 8.57

    3? * 4888

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    ADCXZG_3?

    N_GG QW_NCAG GNNGAZ

    NQA ; 37 * 3? * 3? * 3? * 8.57

    3? * 4888

    NQA ; 8.?79k

    MI(n) ; MI(s) + NQA

    MI(n) ; 9.8k + 8.?79k

    MI(n) ; 9.?79k

    MK ; MI(n) + IK(n)

    9.5k ; 9.?79k + IK(n)

    9.5k9.?79k ; IK(n)

    8.>:1k ; IK(n)

    c)

    Kbkgft bn stcteacl stcoelety ; w * IK * Qef

    Kbkgft bn stcteacl stcoelety ; 4888 * 8.>:1 * Qef(>)

    Kbkgft bn stcteacl stcoelety ; 719.9 tk

    o)

    Kbkgft bn stcteacl stcoelety ; w * Qef* (IK + 3 * OK * Zcf?)

    ?

    Kbkgft bn stcteacl stcoelety ; 4888 * Qef(?8) * (8.>:1 + 3 * :.5 * Zcf?(?8))

    ?

    Kbkgft bn stcteacl stcoelety ; ?>:9.:tk

    -b8b-