method_dynamics

Ⱥɤɬɢɜɧɵɦɢ ɫɢɥɚɦɢ ɹɜɥɹɸɬɫɹ: Ɋ – ɜɟɫ ɤɪɢɜɨɲɢɩɚ, Ɋ2 – ɜɟɫ ɤɨɥɟɫɚ 2, m0 – ɜɪɚɳɚɸɳɢɣ ɦɨɦɟɧɬ, ɩɪɢɥɨɠɟɧɧɵɣ ɤ ɤɪɢɜɨɲɢɩɭ ɈȺ. ȼɫɟ ɫɜɹɡɢ, ɧɚɥɨɠɟɧɧɵɟ ɧɚ ɫɢɫɬɟɦɭ, ɢɞɟɚɥɶɧɵ.

Ⱦɚɞɢɦ ɤɪɢɜɨɲɢɩɭ ɈȺ ɜɨɡɦɨɠɧɨɟ ɭɝɥɨɜɨɟ ɩɟɪɟɦɟɳɟɧɢɟ ΓΜ ɜ ɧɚɩɪɚɜɥɟɧɢɢ ɜɨɡɪɚɫɬɚɧɢɹ ɭɝɥɚ Μ , ɬ. ɟ. ɩɪɨɬɢɜ ɱɚɫɨɜɨɣ ɫɬɪɟɥɤɢ.

Ⱦɥɹ ɨɩɪɟɞɟɥɟɧɢɹ ɨɛɨɛɳɟɧɧɨɣ ɫɢɥɵ QΜ ɜɵɱɢɫɥɢɦ ɫɭɦɦɭ ɪɚɛɨɬ ɚɤɬɢɜɧɵɯ ɫɢɥ ɧɚ ɜɨɡɦɨɠɧɨɦ ɩɟɪɟɦɟɳɟɧɢɢ ΓΜ :

ΓA m0ΓΜ POC cosΜ ΓΜ P2 OA cosΜ ΓΜ .

ɉɟɪɟɯɨɞɢɦ ɤ ɜɵɱɢɫɥɟɧɢɸ ɤɢɧɟɬɢɱɟɫɤɨɣ ɷɧɟɪɝɢɢ Ɍ ɦɟɯɚɧɢɡɦɚ, ɜ ɫɨɫɬɚɜ ɤɨɬɨɪɨɝɨ ɜɯɨɞɹɬ ɦɚɫɫɵ ɤɪɢɜɨɲɢɩɚ ɈȺ ɢ ɡɭɛɱɚɬɨɝɨ ɤɨɥɟɫɚ 2 (ɡɭɛɱɚɬɨɟ

Ʉɢɧɟɬɢɱɟɫɤɚɹ ɷɧɟɪɝɢɹ ɤɪɢɜɨɲɢɩɚ ɈȺ, ɜɪɚɳɚɸɳɟɝɨɫɹ ɜɨɤɪɭɝ ɧɟɩɨɞɜɢɠɧɨɣ ɨɫɢ Ɉ, ɩɟɪɩɟɧɞɢɤɭɥɹɪɧɨɣ ɤ ɩɥɨɫɤɨɫɬɢ ɪɢɫɭɧɤɚ, ɨɩɪɟɞɟɥɹɟɬɫɹ ɮɨɪɦɭɥɨɣ

Ʉɢɧɟɬɢɱɟɫɤɚɹ ɷɧɟɪɝɢɹ ɡɭɛɱɚɬɨɝɨ ɤɨɥɟɫɚ 2, ɫɨɜɟɪɲɚɸɳɟɝɨ ɩɥɨɫɤɨɟ

Ɋɚɫɫɦɨɬɪɢɦ ɫɤɨɪɨɫɬɶ ɬɨɣ ɠɟ ɬɨɱɤɢ Ⱥ, ɩɪɢɧɚɞɥɟɠɚɳɟɣ ɡɭɛɱɚɬɨɦɭ ɤɨɥɟɫɭ 2,

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ɉɨɫɥɟ ɩɨɞɫɬɚɧɨɜɤɢ ɡɧɚɱɟɧɢɣ vA , Ζ2 ɢ I A ɫɨɨɬɜɟɬɫɬɜɟɧɧɨ ɢɡ ɮɨɪɦɭɥ (6),

ȼɨɫɩɨɥɶɡɨɜɚɜɲɢɫɶ ɮɨɪɦɭɥɚɦɢ (3), (4) ɢ (10), ɡɚɩɢɲɟɦ ɜɵɪɚɠɟɧɢɟ

ȼɵɱɢɫɥɢɦ ɱɚɫɬɧɭɸ ɩɪɨɢɡɜɨɞɧɭɸ ɤɢɧɟɬɢɱɟɫɤɨɣ ɷɧɟɪɝɢɢ Ɍ ɩɨ ɨɛɨɛɳɟɧɧɨɣ

ɉɨɫɥɟ ɩɨɞɫɬɚɧɨɜɤɢ ɜɵɪɚɠɟɧɢɣ (2), (12), (13) ɜ ɭɪɚɜɧɟɧɢɟ Ʌɚɝɪɚɧɠɚ ɩɨɥɭɱɢɦ ɞɢɮɮɟɪɟɧɰɢɚɥɶɧɨɟ ɭɪɚɜɧɟɧɢɟ ɞɜɢɠɟɧɢɹ ɦɟɯɚɧɢɡɦɚ ɞɥɹ ɨɛɨɛɳɟɧɧɨɣ ɤɨɨɪɞɢɧɚɬɵ Μ :

ɨɬɤɭɞɚ ɨɩɪɟɞɟɥɹɟɦ ɢɫɤɨɦɨɟ ɭɝɥɨɜɨɟ ɭɫɤɨɪɟɧɢɟ Μ ɤɪɢɜɨɲɢɩɚ ɈȺ:

Ɋɚɜɧɨɦɟɪɧɨɟ ɜɪɚɳɟɧɢɟ ɤɪɢɜɨɲɢɩɚ ɨɫɭɳɟɫɬɜɥɹɟɬɫɹ ɩɪɢ ɜɵɩɨɥɧɟɧɢɢ

Ɂɚɞɚɱɚ ʋ 3. Ʉ ɤɨɧɰɚɦ ɬɨɧɤɨɣ ɧɟɪɚɫɬɹɠɢɦɨɣ ɧɢɬɢ ɩɪɢɜɹɡɚɧɵ ɝɪɭɡ Ⱥ ɜɟɫɨɦ Ɋ1 ɢ ɝɪɭɡ ȼ ɜɟɫɨɦ Ɋ2. ɇɢɬɶ ɩɟɪɟɛɪɨɲɟɧɚ ɱɟɪɟɡ ɛɥɨɤɢ D ɢ ȿ ɢ ɨɯɜɚɬɵɜɚɟɬ ɫɧɢɡɭ ɩɨɞɜɢɠɧɨɣ ɛɥɨɤ Ʉ. Ʉ ɨɫɢ Ɉ5 ɩɨɞɜɢɠɧɨɝɨ ɛɥɨɤɚ Ʉ ɩɪɢɤɪɟɩɥɟɧ ɝɪɭɡ L ɜɟɫɨɦ Ɋ6; Ɋ3 – ɜɟɫ ɛɥɨɤɚ D, Ɋ4 – ɜɟɫ ɛɥɨɤɚ ȿ, Ɋ5 – ɜɟɫ ɛɥɨɤɚ Ʉ. Ƚɪɭɡɵ Ⱥ ɢ ȼ ɞɜɢɠɭɬɫɹ ɩɨ ɧɚɤɥɨɧɧɵɦ ɩɥɨɫɤɨɫɬɹɦ, ɫɨɨɬɜɟɬɫɬɜɟɧɧɨ ɪɚɫɩɨɥɨɠɟɧɧɵɦ ɩɨɞ ɭɝɥɚɦɢ ɢ Ε ɤ ɝɨɪɢɡɨɧɬɭ. Ɉɩɪɟɞɟɥɢɬɶ ɭɫɤɨɪɟɧɢɹ ɝɪɭɡɨɜ Ⱥ, ȼ ɢ L. Ȼɥɨɤɢ ɫɱɢɬɚɬɶ ɨɞɧɨɪɨɞɧɵɦɢ ɤɪɭɝɥɵɦɢ ɞɢɫɤɚɦɢ. ɋɢɥɚɦɢ ɬɪɟɧɢɹ ɫɤɨɥɶɠɟɧɢɹ ɝɪɭɡɨɜ ɨ ɧɚɤɥɨɧɧɵɟ ɩɥɨɫɤɨɫɬɢ ɢ ɦɚɫɫɨɣ ɧɢɬɢ ɩɪɟɧɟɛɪɟɱɶ.

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Ɋɟɲɟɧɢɟ.

ɋɢɫɬɟɦɚ ɢɦɟɟɬ ɞɜɟ ɫɬɟɩɟɧɢ ɫɜɨɛɨɞɵ. ȼ ɤɚɱɟɫɬɜɟ ɨɛɨɛɳɟɧɧɵɯ ɤɨɨɪɞɢɧɚɬ ɜɵɛɟɪɟɦ ɥɢɧɟɣɧɵɟ ɤɨɨɪɞɢɧɚɬɵ s1 ɢ s2, ɧɚɩɪɚɜɥɟɧɧɵɟ ɜɞɨɥɶ ɧɚɤɥɨɧɧɵɯ ɩɥɨɫɤɨɫɬɟɣ ɜɧɢɡ.

Ɂɚɩɢɲɟɦ ɭɪɚɜɧɟɧɢɹ Ʌɚɝɪɚɧɠɚ ɞɥɹ ɨɛɨɛɳɟɧɧɵɯ ɤɨɨɪɞɢɧɚɬ s1 ɢ s2:

Ⱥɤɬɢɜɧɵɦɢ ɫɢɥɚɦɢ ɹɜɥɹɸɬɫɹ: Ɋ1 – ɜɟɫ ɝɪɭɡɚ Ⱥ, Ɋ2 – ɜɟɫ ɝɪɭɡɚ ȼ, Ɋ3 – ɜɟɫ ɛɥɨɤɚ D, Ɋ4 – ɜɟɫ ɛɥɨɤɚ ȿ, Ɋ5 – ɜɟɫ ɛɥɨɤɚ Ʉ, Ɋ6 – ɜɟɫ ɝɪɭɡɚ L. Ɋɟɚɤɰɢɢ ɫɜɹɡɟɣ ɭɱɢɬɵɜɚɬɶ ɧɟ ɫɥɟɞɭɟɬ, ɬɚɤ ɤɚɤ ɜɫɟ ɫɜɹɡɢ, ɧɚɥɨɠɟɧɧɵɟ ɧɚ ɫɢɫɬɟɦɭ, ɢɞɟɚɥɶɧɵ (ɧɚɤɥɨɧɧɵɟ ɩɥɨɫɤɨɫɬɢ ɢɞɟɚɥɶɧɨ ɝɥɚɞɤɢɟ, ɬɪɟɧɢɟ ɜ ɨɫɹɯ ɛɥɨɤɨɜ ɨɬɫɭɬɫɬɜɭɟɬ, ɧɢɬɢ ɩɪɟɞɩɨɥɚɝɚɸɬɫɹ ɧɟɪɚɫɬɹɠɢɦɵɦɢ ɢ ɧɚɬɹɧɭɬɵɦɢ).

Ⱦɥɹ ɨɩɪɟɞɟɥɟɧɢɹ ɨɛɨɛɳɟɧɧɵɯ ɫɢɥ QS1 ɢ QS2 ɞɚɞɢɦ ɝɪɭɡɚɦ Ⱥ ɢ ȼ ɫɨɨɬɜɟɬɫɬɜɟɧɧɨ ɜɨɡɦɨɠɧɵɟ ɩɟɪɟɦɟɳɟɧɢɹΓs1 ɢ Γs2 , ɧɚɩɪɚɜɥɟɧɧɵɟ ɩɚɪɚɥɥɟɥɶɧɨ ɥɢɧɢɹɦ ɧɚɢɛɨɥɶɲɟɝɨ ɫɤɚɬɚ ɧɚɤɥɨɧɧɵɯ ɩɥɨɫɤɨɫɬɟɣ ɜ ɫɬɨɪɨɧɭ ɜɨɡɪɚɫɬɚɧɢɹ ɤɨɨɪɞɢɧɚɬ s1 ɢ s2.

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Ⱦɥɹ ɜɵɱɢɫɥɟɧɢɹ ɨɛɨɛɳɟɧɧɨɣ ɫɢɥɵ QS1 ɞɚɞɢɦ ɫɢɫɬɟɦɟ ɨɛɨɛɳɟɧɧɨɟ

ɨɛɨɛɳɟɧɧɵɦɢ ɤɨɨɪɞɢɧɚɬɚɦɢ.)

Ɍɚɤɢɦ ɨɛɪɚɡɨɦ, ɝɪɭɡ ȼ, ɛɥɨɤ ȿ ɢ ɩɪɚɜɚɹ ɜɟɬɜɶ ɧɢɬɢ ɨɬ ɝɪɭɡɚ ȼ ɞɨ ɬɨɱɤɢ N ɧɚɯɨɞɹɬɫɹ ɜ ɩɨɤɨɟ. ɉɪɢ ɜɨɡɦɨɠɧɨɦ ɩɟɪɟɦɟɳɟɧɢɢ ɝɪɭɡɚ Ⱥ ɜɧɢɡ ɧɚ Γs1 , ɜɜɢɞɭ ɧɟɪɚɫɬɹɠɢɦɨɫɬɢ ɧɢɬɢ, ɬɨɱɤɚ Ɇ ɧɢɬɢ ɩɨɥɭɱɢɬ ɜɨɡɦɨɠɧɨɟ ɩɟɪɟɦɟɳɟɧɢɟ ΓrM ɩɨ ɜɟɪɬɢɤɚɥɢ ɜɜɟɪɯ, ɪɚɜɧɨɟ ɩɨ ɦɨɞɭɥɸ Γs1 . ɍɱɢɬɵɜɚɹ, ɱɬɨ ɬɨɱɤɚ N ɧɢɬɢ ɨɫɬɚɧɟɬɫɹ ɩɪɢ ɷɬɨɦ ɜ ɩɨɤɨɟ, ɨɩɪɟɞɟɥɢɦ ɜɨɡɦɨɠɧɨɟ

ȼɵɱɢɫɥɢɦ ɫɭɦɦɭ ɪɚɛɨɬ ɚɤɬɢɜɧɵɯ ɫɢɥ ɧɚ ɜɨɡɦɨɠɧɵɯ ɩɟɪɟɦɟɳɟɧɢɹɯ ɬɨɱɟɤ ɫɢɫɬɟɦɵ, ɫɨɨɬɜɟɬɫɬɜɭɸɳɢɯ ɨɛɨɛɳɟɧɧɨɦɭ ɜɨɡɦɨɠɧɨɦɭ ɩɟɪɟɦɟɳɟɧɢɸ Γs1 ɝɪɭɡɚ Ⱥ:

ΓA P1 sinΔΓ s1 (P5 P6 )Γ rO5 .

ɉɪɢɧɢɦɚɹ ɜɨ ɜɧɢɦɚɧɢɟ ɮɨɪɦɭɥɭ (2), ɧɚɯɨɞɢɦ

Ɋɚɛɨɬɚ ɫɢɥɵ ɬɹɠɟɫɬɢ Ɋ2 ɪɚɜɧɚ ɧɭɥɸ, ɬɚɤ ɤɚɤ Γs2 0, ɪɚɛɨɬɚ ɫɢɥ ɬɹɠɟɫɬɢ Ɋ3 ɢ Ɋ4 ɪɚɜɧɚ ɧɭɥɸ, ɬɚɤ ɤɚɤ ɬɨɱɤɢ ɩɪɢɥɨɠɟɧɢɹ ɷɬɢɯ ɫɢɥ ɧɟɩɨɞɜɢɠɧɵ. Ɉɛɨɛɳɟɧɧɨɣ ɫɢɥɨɣ QS1 ɹɜɥɹɟɬɫɹ ɤɨɷɮɮɢɰɢɟɧɬ, ɫɬɨɹɳɢɣ ɩɪɢ ɨɛɨɛɳɟɧɧɨɦ ɜɨɡɦɨɠɧɨɦ ɩɟɪɟɦɟɳɟɧɢɢ ɜ ɭɪɚɜɧɟɧɢɢ (3), ɬ. ɟ.

ɗɬɨ ɡɧɚɱɢɬ, ɱɬɨ ɝɪɭɡ Ⱥ, ɛɥɨɤ D ɢ ɥɟɜɚɹ ɜɟɬɜɶ ɧɢɬɢ ɨɬ ɝɪɭɡɚ Ⱥ ɞɨ ɬɨɱɤɢ Ɇ ɧɢɬɢ ɧɚɯɨɞɹɬɫɹ ɜ ɩɨɤɨɟ. ɉɪɢ ɜɨɡɦɨɠɧɨɦ ɩɟɪɟɦɟɳɟɧɢɢ ɝɪɭɡɚ ȼ ɧɚ Γs2 ɜɧɢɡ, ɜɜɢɞɭ ɧɟɪɚɫɬɹɠɢɦɨɫɬɢ ɧɢɬɢ, ɬɨɱɤɚ N ɧɢɬɢ ɩɨɥɭɱɢɬ ɜɨɡɦɨɠɧɨɟ ɩɟɪɟɦɟɳɟɧɢɟ Γ rN ɩɨ ɜɟɪɬɢɤɚɥɢ ɜɜɟɪɯ, ɪɚɜɧɨɟ ɜɟɥɢɱɢɧɟ ɦɨɞɭɥɸ

ɜɨɡɦɨɠɧɨɝɨ ɩɟɪɟɦɟɳɟɧɢɹ Γs2 . ɍɱɢɬɵɜɚɹ, ɱɬɨ ɬɨɱɤɚ Ɇ ɧɢɬɢ ɨɫɬɚɟɬɫɹ ɩɪɢ ɷɬɨɦ ɜ ɩɨɤɨɟ, ɧɚɯɨɞɢɦ (ɪɢɫ. ɜ)

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ȼɵɱɢɫɥɢɦ ɫɭɦɦɭ ɪɚɛɨɬ ɚɤɬɢɜɧɵɯ ɫɢɥ ɧɚ ɜɨɡɦɨɠɧɵɯ ɩɟɪɟɦɟɳɟɧɢɹɯ ɬɨɱɟɤ ɫɢɫɬɟɦɵ, ɫɨɨɬɜɟɬɫɬɜɭɸɳɢɯ ɨɛɨɛɳɟɧɧɨɦɭ ɜɨɡɦɨɠɧɨɦɭ ɩɟɪɟɦɟɳɟɧɢɸ Γs2 :

ΓA P2 sin ΕΓ s2 (P5 P6 )Γ rO5 .

ɍɱɢɬɵɜɚɹ ɮɨɪɦɭɥɭ (5), ɢɦɟɟɦ:

Ɋɚɛɨɬɚ ɫɢɥɵ ɬɹɠɟɫɬɢ Ɋ1 ɪɚɜɧɚ ɧɭɥɸ, ɬɚɤ ɤɚɤ Γs1 0, ɪɚɛɨɬɚ ɫɢɥ ɬɹɠɟɫɬɢ Ɋ3 ɢ Ɋ4 ɪɚɜɧɚ ɧɭɥɸ, ɬɚɤ ɤɚɤ ɬɨɱɤɢ ɩɪɢɥɨɠɟɧɢɹ ɷɬɢɯ ɫɢɥ ɧɟɩɨɞɜɢɠɧɵ. Ɉɛɨɛɳɟɧɧɨɣ ɫɢɥɨɣ QS2 ɹɜɥɹɟɬɫɹ ɤɨɷɮɮɢɰɢɟɧɬ, ɫɬɨɹɳɢɣ ɩɪɢ ɨɛɨɛɳɟɧɧɨɦ ɜɨɡɦɨɠɧɨɦ ɩɟɪɟɦɟɳɟɧɢɢ ɜ ɭɪɚɜɧɟɧɢɢ (6), ɬ. ɟ.

ɉɟɪɟɯɨɞɢɦ ɤ ɜɵɱɢɫɥɟɧɢɸ ɤɢɧɟɬɢɱɟɫɤɨɣ ɷɧɟɪɝɢɢ Ɍ ɦɚɬɟɪɢɚɥɶɧɨɣ ɫɢɫɬɟɦɵ, ɫɨɫɬɨɹɳɟɣ ɢɡ ɲɟɫɬɢ ɦɚɫɫ: ɝɪɭɡɨɜ Ⱥ, ȼ ɢ L ɛɥɨɤɨɜ D, ȿ ɢ Ʉ:

Ƚɪɭɡɵ Ⱥ ɢ ȼ ɢɦɟɸɬ ɫɤɨɪɨɫɬɢ vA ɢ vB , ɧɚɩɪɚɜɥɟɧɧɵɟ ɩɚɪɚɥɥɟɥɶɧɨ ɥɢɧɢɹɦ ɧɚɢɛɨɥɶɲɟɝɨ ɫɤɚɬɚ ɧɚɤɥɨɧɧɵɯ ɩɥɨɫɤɨɫɬɟɣ. ɉɪɨɟɤɰɢɢ ɷɬɢɯ ɫɤɨɪɨɫɬɟɣ ɧɚ ɨɫɢ s1 ɢ s2 ɫɨɨɬɜɟɬɫɬɜɟɧɧɨ ɪɚɜɧɵ s1 ɢ s2 . Ɉɛɨɡɧɚɱɢɦ ɪɚɞɢɭɫɵ ɛɥɨɤɨɜ D, ȿ ɢ Ʉ ɱɟɪɟɡ r3, r4 ɢ r5. ɉɪɢ ɷɬɨɦ ɭɝɥɨɜɵɟ ɫɤɨɪɨɫɬɢ ɛɥɨɤɨɜ D ɢ ȿ ɜɵɪɚɡɹɬɫɹ ɬɚɤ:

ɇɟɬɪɭɞɧɨ, ɜɨɫɩɨɥɶɡɨɜɚɜɲɢɫɶ ɪɢɫ. ɝ), ɧɚɣɬɢ ɫɤɨɪɨɫɬɶ ɨɫɢ Ɉ5 ɛɥɨɤɚ Ʉ, ɫɨɜɟɪɲɚɸɳɟɝɨ ɩɥɨɫɤɨɟ ɞɜɢɠɟɧɢɟ:

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ȼɵɱɢɫɥɢɦ ɤɢɧɟɬɢɱɟɫɤɭɸ ɷɧɟɪɝɢɸ ɛɥɨɤɨɜ D ɢ ȿ, ɜɪɚɳɚɸɳɢɯɫɹ ɜɨɤɪɭɝ ɧɟɩɨɞɜɢɠɧɵɯ ɨɫɟɣ:

ɉɪɢɦɟɧɢɜ ɮɨɪɦɭɥɭ (10), ɨɩɪɟɞɟɥɹɟɦ

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Ⱦɥɹ ɜɵɱɢɫɥɟɧɢɹ ɤɢɧɟɬɢɱɟɫɤɨɣ ɷɧɟɪɝɢɢ Ɍ ɦɚɬɟɪɢɚɥɶɧɨɣ ɫɢɫɬɟɦɵ ɩɨɞɫɬɚɜɥɹɟɦ ɜ ɮɨɪɦɭɥɭ (8) ɜɵɪɚɠɟɧɢɹ ɤɢɧɟɬɢɱɟɫɤɨɣ ɷɧɟɪɝɢɢ ɢɡ ɮɨɪɦɭɥ (12)–(15). ȼ ɢɬɨɝɟ ɩɨɥɭɱɚɟɦ:

T1 P1 s2 1 P2 s2 1 P3 s2 1 P4 s2

2 g 1 2 g 2 4 g 1 4 g 2

Ⱦɥɹ ɫɨɫɬɚɜɥɟɧɢɹ ɫɢɫɬɟɦɵ ɭɪɚɜɧɟɧɢɣ Ʌɚɝɪɚɧɠɚ ɜɬɨɪɨɝɨ ɪɨɞɚ ɫɥɟɞɭɟɬ ɜɵɱɢɫɥɢɬɶ ɱɚɫɬɧɵɟ ɩɪɨɢɡɜɨɞɧɵɟ ɤɢɧɟɬɢɱɟɫɤɨɣ ɷɧɟɪɝɢɢ Ɍ ɩɨ ɨɛɨɛɳɟɧɧɵɦ ɫɤɨɪɨɫɬɹɦ s1 ɢ s2

ɉɨɫɥɟ ɩɨɞɫɬɚɧɨɜɤɢ ɮɨɪɦɭɥ (4), (7), (17) ɢ (18) ɜ ɭɪɚɜɧɟɧɢɟ (1) ɩɨɥɭɱɢɦ ɭɪɚɜɧɟɧɢɹɅɚɝɪɚɧɠɚɜɬɨɪɨɝɨɪɨɞɚɞɥɹɨɛɨɛɳɟɧɧɵɯɤɨɨɪɞɢɧɚɬ s1 ɢ s2 :

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§12. ɋɩɢɫɨɤ ɡɚɞɚɱ ɞɥɹ ɫɚɦɨɫɬɨɹɬɟɥɶɧɨɣ ɪɚɛɨɬɵ [2]

26.1, 26.5, 26.6, 26.9.

27.1, 27.3, 27.12, 27.13, 27.34, 27.42, 27.53, 27.56.

28.1, 28.6, 28.7, 28.15, 28.17, 28.21.

29.7, 29.14.

30.4, 30.6, 30.11, 30.12, 30.15, 30.19, 30.22.

32.1, 32.2, 32.5, 32.16, 32.24, 32.26, 32.37, 32.53, 32.55, 32.57, 32.68, 32.70, 32.78, 32.79, 32.86, 32.93, 32.94, 32.96, 32.98, 32.99.

34.2, 34.3, 34.9, 34.11, 34.12, 34.15, 34.21.

35.3, 35.4, 35.10, 35.13, 35.14, 35.19.

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36.3, 36.6, 36.9.

37.1, 37.3, 37.9, 37.14, 37.34, 37.39, 37.43, 37.46, 37.53, 37.56.

38.2, 38.4, 38.9, 38.20, 38.24, 38.27, 38.30, 38.40, 38.42, 38.44, 38.46, 38.47, 38.50.

48.5, 48.6, 48.12, 48.13, 48.28, 48.29, 48.30, 48.35, 48.44.

§13. Ɉɫɧɨɜɧɵɟ ɮɨɪɦɭɥɵ ɞɢɧɚɦɢɤɢ

ȼɬɨɪɨɣ ɡɚɤɨɧ ɇɶɸɬɨɧɚ:

mw F,

ɝɞɟ m – ɢɧɟɪɬɧɚɹ ɦɚɫɫɚ ɬɨɱɤɢ, w – ɭɫɤɨɪɟɧɢɟ,

F – ɫɢɥɚ.

­mx Fx (t, x, y, z, x, y, z)

°®my Fy (t, x, y, z, x, y, z) .

°¯mz Fz (t, x, y, z, x, y, z)

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AFscos(F,s) .

A12 (P) P(zC1 zC2 ) .

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