Page 86 - index

ɭɚԕɵɬɬɵ ɚɥɵɩ ɬɚɫɬɚɭ ɤɟɪɟɤ. ɋɨɥ ɤɟɡɞɟ ɬɪɚɟɤɬɨɪɢɹ ɬɟԙɞɟɭɿ ɬԧɦɟɧɞɟɝɿɲɟ

ɠɚɡɵɥɚɞɵ

F x, z 0, F y, z 0 . (4)

Ɇɵɫɚɥ. ɈȺ ɚ ɢɿɧɬɿɪɟɝɿ (ɤɪɢɜɨɲɢɩɵ) (4-ɫɭɪɟɬ) ɚɣɧɚɥԑɚɧ ɤɟɡɞɟ I

ɛԝɪɵɲɵɧɵԙ ԧɡɝɟɪɭ ɡɚԙɞɵɥɵԑɵ: I Z ˜t . Ȼԝɥ ɮɨɪɦɭɥɚɞɚԑɵ Z – ɬԝɪɚԕɬɵ

ɲɚɦɚ. Ȼԝɥԑɚԕɬɵԙ (ɲɚɬɭɧɧɵԙ) ԝɡɵɧɞɵԑɵ: AB OA . Ȼԝɥԑɚԕɬɵԙ ɨɪɬɚɫɵɧɞɚԑɵ

Ɇ ɧԛɤɬɟɫɿɧɿԙ ɬɪɚɟɤɬɨɪɢɹɫɵɧ ɚɧɵԕɬɚɭ ɤɟɪɟɤ ɠԥɧɟ ȼ ɠɵɥɵɫɬɚɭɲɵɧɵԙ
(ɩɨɥɡɭɧɧɵԙ) ԕɨɡԑɚɥɵɫ ɬɟԙɞɟɭɿɧ ԕԝɪɭ ɤɟɪɟɤ.

4-ɫɭɪɟɬ

ɋɭɪɟɬɬɟ ɤԧɪɫɟɬɿɥɝɟɧɞɟɣ, ɠɵɥɠɵɦɚɣɬɵɧ ɨɫɶɬɟɪ ɠԛɣɟɫɿɧ ɚɥɚɦɵɡ. Ʉɟɡ
ɤɟɥɝɟɧ ɠɚԑɞɚɣɞɚԑɵ ɢɿɧɬɿɪɟɤɬɿ-ɛԝɥԑɚԕɬɵ (ɤɪɢɜɨɲɢɩɧɨ-ɲɚɬɭɧɞɵ) ɦɟɯɚɧɢɡɦɞɿ

ɤԧɪɫɟɬɿɩ, ɨɫɵ ɠɚԑɞɚɣɞɚԑɵ M (xM , yM ) ɧԛɤɬɟɫɿɧɿԙ ɤɨɨɪɞɢɧɚɬɚ ɧԛɤɬɟɥɟɪɿɧ

ɬԝɪԑɵɡɚɦɵɡ. OAL , MNA ɠԥɧɟ BKM ԛɲɛԝɪɵɲɬɚɪɵɧɚɧ:

xM OL LK 3a cos(Z ˜t) , yM MB ˜sinI a sin(Z ˜t) .
2 2

ɋɨɧɵɦɟɧ, Ɇ ɧԛɤɬɟɫɿɧɿԙ ɬɿɤɛԝɪɵɲɬɵ ɤɨɨɪɞɢɧɚɬɬɚɪ ɠԛɣɟɫɿɧɞɟɝɿ ɬɟԙɞɟɭɿɧ
ɬɚɩɬɵԕ. Ⱥɥɵɧԑɚɧ ɬɟԙɞɟɭɥɟɪɞɟɝɿ t ɩɚɪɚɦɟɬɪɿɧɟɧ ԕԝɬɵɥɵɩ, Ɇ ɧԛɤɬɟɫɿɧɿԙ

ɬɪɚɟɤɬɨɪɢɹɫɵɧ ɚɧɵԕɬɚɣɦɵɡ:

xM2 yM2 1.
§ 3a ·2 § a ·2
©¨ 2 ¸¹ ©¨ 2 ¸¹

ɋɨԙԑɵ ɬɟԙɞɟɭɞɟɧ ɤԧɪɿɧɿɩ ɬԝɪԑɚɧɞɚɣ, Ɇ ɧԛɤɬɟɫɿɧɿԙ ɬɪɚɟɤɬɨɪɢɹɫɵ ɷɥɥɢɩɫ

ɬԛɪɿɧɞɟ ɛɨɥɚɞɵ, ɚɥ ɨɧɵԙ ɠɚɪɬɵ ɨɫɶɬɟɪɿ: 3a ɠԥɧɟ a.
2 2

ȿɧɞɿ, ȼ ɫɵɪԑɚԑɵɧɵԙ (ɩɨɥɡɭɧɧɵԙ) ԕɨɡԑɚɥɵɫ ɬɟԙɞɟɭɿɧ ɚɧɵԕɬɚɣɵԕ. Ɉɧɵԙ
ɬɪɚɟɤɬɨɪɢɹɫɵ Ox ɨɫɿɧɿԙ ɛɿɪ ɛԧɥɿɝɿ ɛɨɥԑɚɧɞɵԕɬɚɧ, OAL ɠԥɧɟ BAL

ԛɲɛԝɪɵɲɬɚɪɵɧɚɧ:

xB OB OAcosI AB cosI 2a ˜ cos(Z ˜t) .

Ⱦɟɦɟɤ, ȼ ɫɵɪԑɚԑɵɧɵԙ ԕɨɡԑɚɥɵɫ ɬɟԙɞɟɭɿ:

xB 2a ˜ cos(Z ˜t) .

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