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Examens ( 2 exercices ) & solution _physique1 contient ( cinématique - dynamique ) _1ère année univ_ CA$0.00

Exam (elaborations)

Examens ( 2 exercices ) & solution _physique1 contient ( cinématique - dynamique ) _1ère année univ_

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Examens ( 2 exercices ) & solution _physique1 contient ( cinématique - dynamique ) _1ère année univ_ Tags : examen national svt 2 bac pc biof 2017,exercices 2 bac,examen national,examen,examen national svt 2016 session normal 2 bac svt,exercices,exercice,examen national svt 2017 session nor...

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  • April 5, 2024
  • 8
  • 2021/2022
  • Exam (elaborations)
  • Questions & answers
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Cycle Préparatoire 1ère année Matière : PHYSIQUE 1

Responsable de matière : M. Chekerker

Solution Epreuve de Physique 1

Date : …/01/2022, (Durée : 60mn)

Exercice 1.(𝟏𝟎 𝒑𝒕𝒔)

1- Le vecteur vitesse angulaire est :
𝑝𝑡

⃗⃗⃗ 𝟏 (𝑹𝟏 /𝑹) = 𝝎𝟏 𝒌
𝝎

- Etant donné que le repère 𝑹𝟏 est en translation par rapport à
𝑹, La vitesse relative de 𝑴 : 𝑝𝑡

⃗⃗⃗⃗⃗⃗⃗⃗⃗
𝒅𝑶 𝟏𝑴 𝒅(𝑨𝒖
⃗⃗ 𝟏 ) ⃗⃗ 𝟏
𝒅𝒖
⃗⃗ 𝒓 =
𝑽 = =𝑨 = 𝑨𝝋̇⃗𝒖
⃗ 𝟐 = 𝑨𝝎𝟏 ⃗𝒖
⃗𝟐
𝒅𝒕 𝒅𝒕 𝒅𝒕

- La vitesse d’entrainement :
𝑝𝑡
⃗⃗⃗⃗⃗⃗⃗⃗𝟏 𝒅(𝒂𝒕𝒌
𝒅𝑶𝑶 ⃗)
⃗𝑽
⃗𝒆= = ⃗
= 𝒂𝒌
𝒅𝒕 𝒅𝒕

2- La vitesse absolue. D’après la loi de composition des vitesses
dans le cas de repère 𝑹′ en translation par rapport à 𝑹 est
donnée par :

⃗⃗ 𝒂 = 𝑽
𝑽 ⃗⃗ 𝒆 + 𝑽
⃗⃗ 𝒓 = 𝑨𝝎𝟏 𝒖 ⃗
⃗⃗ 𝟐 + 𝒂𝒌
𝑝𝑡

𝑝𝑡

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3- L’accélération relative : 𝑝𝑡

⃗⃗ 𝒓 𝒅(𝑨𝝎𝟏 𝒖
𝒅𝑽 ⃗⃗ 𝟐 ) ⃗⃗ 𝟐
𝒅𝒖
⃗𝒓=
𝒂 = = 𝑨𝝎𝟏 = −𝑨𝝎𝟐𝟏 𝒖
⃗⃗ 𝟏
𝒅𝒕 𝒅𝒕 𝒅𝒕

4- L’accélération d’entrainement :
𝑝𝑡
𝟐 ⃗⃗⃗⃗⃗⃗
𝒅 𝑶𝑶𝟏 𝒅 (𝒂𝒕𝒌⃗)𝟐
⃗𝒆=
𝒂 = ⃗.
=𝟎
𝒅𝒕𝟐 𝒅𝒕𝟐

5- La loi de composition des accélérations donne l’accélération
absolue : 𝑝𝑡

𝑝𝑡 ⃗𝒂=𝒂
𝒂 ⃗ 𝒆+𝒂
⃗𝒓= −𝑨𝝎𝟐𝟏 𝒖
⃗⃗ 𝟏

C’est une accélération centripète.

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