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P. 500

Ɉɥ ԛɲiɧ, ɨɫɵ ɩɚɪɚɝɪɚɮɬɚԑɵ (5.6) ɮɨɪɦɭɥɚɥɚɪɞɵ ԕɨɥɞɚɧɚɦɵɡ:

                                  yɨɪɬ         S x1 .                                   (ɚ)
                                                Ⱥ
ɀɚɪɬɵ ɞԧԙɝɟɥɟɤɬiԙ ɚɭɞɚɧɵ:

                                     Ⱥ     S ˜R2 .                                      (ԥ)

                                             2

ɒɟԙɛɟɪɞiԙ ɬɟԙɞɟɭiɧ ԕɨɥɞɚɧɵɩ, ɠɚɪɬɵ ɞԧԙɝɟɥɟɤɬiԙ ɫɬɚɬɢɤɚɥɵԕ ɦɨɦɟɧɬiɧ
ɟɫɟɩɬɟɣɦiɡ. ɒɟԙɛɟɪɞiԙ ɬɟԙɞɟɭi:

                                  x2  y2 R2                                            (ɛ)

                R R2x2                        R       y2    R2  x2       2 R3.        (ɜ)

    ydxdy        dx ydy                         dx                         3

                00
³³ ³ ³ ³Sx                                     R 2 0

ɋɚɥɦɚԕ ɰɟɧɬɪiɧiԙ ɨɪɞɢɧɚɬɚɫɵɧ (ɚ) ɮɨɪɦɭɥɚɫɵɧ ɩɚɣɞɚɥɚɧɵɩ ɬɚɛɚɦɵɡ, ɹԑɧɢ:

    yɨɪɬ        2 R3                       AR  |   0,424R        .                      (ɝ)
                3                          3S
                SR 2

                              2

3) Ɍɚɜɪ ԕɢɦɚɧɵԙ (64-ɫɭɪɟɬ) ɫɚɥɦɚԕ ɰɟɧɬɪiɧ ɬɚɛɭ ɤɟɪɟɤ ɛɨɥɫɵɧ. Ԕɢɦɚɧɵԙ

ԧɥɲɟɦɞɟɪɿ: h 60 ɫɦ, b1 20 ɫɦ, b2 50 ɫɦ, G 8 ɫɦ.

Ȼԝɥ ԕɢɦɚɧɵԙ ɞɚ ɛiɪ ɫɢɦɦɟɬɪɢɹ ɨɫi ɛɚɪ, ɨɥ ɨɫɶ – ɭ. Ⱦɟɦɟɤ, ɫɚɥɦɚԕ ɰɟɧɬɪi

ɨɫɵ ɨɫɶɬiԙ ɛɨɣɵɧɞɚ ɠɚɬɚɞɵ, ɹԑɧɢ xC 0 ɛɨɥԑɚɧɞɵԕɬɚɧ, yc ɤɨɨɪɞɢɧɚɬɚɫɵɧ

ɬɚɩɫɚԕ ɠɟɬɤɿɥɿɤɬɿ. Ԕɢɦɚɧɵ ɟɤɿ ɬԧɪɬɛԝɪɵɲ ɪɟɬɿɧɞɟ ԕɚɪɚɫɬɵɪɚɦɵɡ: ɤԧɥɞɟɧɟԙ

( b2 50, G 8 ) ɠԥɧɟ ɬɿɤ ɨɪɧɚɥɚɫԕɚɧ ( h 60, b1 20 ) ɬԧɪɬɛԝɪɵɲ.

Ʉԧɥɞɟɧɟԙ ɬԧɪɬɛԝɪɵɲɬɵԙ ɫɬɚɬɢɤɚɥɵԕ ɦɨɦɟɧɬɿɧ ɬɚɛɭ ԛɲɿɧ ɨɧɵԙ ɚɭɞɚɧɵɧ

x1 ɨɫɿɧɟɧ ԧɡɿɧɿԙ ɫɚɥɦɚԕ ɰɟɧɬɪɿɧɟ ɞɟɣɿɧɝɿ ɚɪɚԕɚɲɵԕɬɵԕԕɚ ɤԧɛɟɣɬɟɦɿɡ, ɹԑɧɢ:

Sk  Ak ˜ y  b2  ˜G         ˜  ¨§  h    G  ¸·  50  ˜8  ˜ §¨  60    8  ¸·  13600 ɫɦ4 .
                              ©   2     2  ¹            ©    2      2  ¹

                                     64-cɭɪɟɬ
                                       498
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