Mécanique du point matériel from Coursera

Ces quelques leçons de mécanique du point matériel font partie d'un cours de formation de base en mécanique Newtonienne présenté sous la forme d'un MOOC en quatre parties :

1. Lois de Newton

https://www.coursera.org/learn/mecanique-newton

2. Mécanique du point matériel

Pour illustrer les concepts introduits dans la première partie, on traite ici des problèmes pour lesquels le système mécanique peut être considéré comme un point matériel. Cette partie couvre notamment les problèmes à traiter en coordonnées cylindriques ou sphériques, le problème des orbites des planètes et les référentiels accélérés.

3. Mécanique du Solide Indéformable

https://www.coursera.org/learn/mecanique-solide

4. Mécanique Lagrangienne

https://www.coursera.org/learn/mecanique-lagrangienne

What's inside

Syllabus

Rotations. Vitesse angulaire.

Jusqu'à maintenant on a travaillé avec des coordonnées cartésiennes pour décrire des mouvements qui étaient essentiellement des translations. Nous voulons développer des outils mathématiques pour traiter des mouvements plus complexes qui contiennent des rotations. Dans cette leçon, on part de la représentation matricielle d'une rotation et on montre comment on peut exprimer une rotation infinitésimale avec un produit vectoriel. On introduit ainsi le vecteur de vitesse angulaire.

Contraintes géométriques. Pendule mathématique.

Cette leçon est dédiée à un type de problème caractéristique de la mécanique du point matériel, dans lequel une contrainte géométrique est exprimée simplement pour autant qu'on utilise des coordonnées généralisées.

Puissance, travail, énergie. Résonance.

On introduit formellement ici la puissance d'une force, le travail d'une force et le théorème de l'énergie cinétique. Ces nouveaux outils seront mis en oeuvre plus loin pour décrire le phénomène de résonance introduit ici aussi.

Potentiel et énergie potentielle. Énergie de l’oscillateur harmonique.

On traite ici la question de savoir quand une force dérive d'un potentiel. Il en découle la définition de l'énergie potentielle. On illustre alors la notion d'énergie avec le cas de l'oscillateur harmonique.

Collisions. Analyse d’une collision élastique.

Les principes de conservation de la quantité de mouvement et de l'énergie (des collisions élastiques) permettent une analyse qualitative des chocs et des collisions en général.

Moment cinétique et moment de force. Mouvement des planètes, gravitation.

La notion de moment cinétique est très importante pour comprendre la dynamique des solides indéformables. Elle est introduite ici pour un point matériel. et sera appliquée à la gravitation. La loi de la gravitation a joué un rôle tellement important dans l'histoire des sciences que par tradition, tous les étudiants voient au moins quelques aspects du travail remarquable accompli par Newton sur la base des lois de Kepler.

Forces électromagnétiques et frottement. Applications.

On complète ici notre catalogue de modèles de forces avec les forces en électrodynamique et les forces de frottement.

Référentiels accélérés

Comment s'y prendre si on conduit une analyse dynamique d'un système dans un référentiel qui ne satisfait pas la première loi de Newton ? La réponse conduit à la notion de forces d'inertie, force centrifuge et force de Coriolis.

Dynamique à la surface de la Terre

On applique le formalisme de la leçon précédente à la dynamique d'un point matériel se déplaçant à la surface de la Terre, en cherchant à caractériser la perturbation qu'engendre la rotation de la Terre par rapport à ce qu'on observerait si la Terre était un référentiel d'inertie.

Clôture

Module d'information générale et de ressources (solutions des problèmes)

Good to know

Know what's good

, what to watch for

, and possible dealbreakers

Ce cours s'adresse aux étudiants en mécanique qui souhaitent approfondir leurs connaissances en mécanique newtonienne

Il permet aux physiciens, ingénieurs, et étudiants en sciences de rafraîchir leurs fondamentaux en mécanique Newtonienne

The materials are presented in a clear and concise manner

Reviews summary

Solide physikalische grundlagen

Dieser Kurs bietet eine solide Grundlage in den physikalischen Grundlagen und kann helfen, mögliche Lücken im Studium zu schließen. Die Vorlesungen sind klar, verständlich und leicht nachvollziehbar. Es gibt auch Videos von Experimenten, die die Konzepte veranschaulichen. Die Übungen sind anspruchsvoller, aber nützlich und beziehen sich auf Beispiele aus dem wirklichen Leben. Ein Nachteil ist, dass es kein Handout gibt. Daher muss man in den Videos suchen, um die Übungen zu vervollständigen.

Die Übungen sind anspruchsvoll, aber nützlich.

Videos von Experimenten veranschaulichen die Konzepte.

Die Vorlesungen sind klar und leicht verständlich.

"The lectures are clear, plain, easy to follow."

Es gibt kein Handout.

"The only drawbacks is that there is no handout."

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Mécanique du point matériel with these activities:

Help a younger student with their physics homework

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Reinforce your understanding of mechanics by helping someone else learn the subject, which can improve your own retention and problem-solving skills.

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Find a younger student who is struggling with physics.
Offer to help them with their homework.
Work with the student to understand the concepts they are struggling with.

Review trigonometry basics

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Review the basics of trigonometry to prepare for the use of vector representations in this course.

Browse courses on Trigonometry

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Review the definitions of the sine, cosine, and tangent functions.
Practice using the trigonometric identities.
Solve basic trigonometry problems.

Watch video tutorials on conservation laws

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Watching video tutorials can help you visualize the concepts of conservation laws, such as conservation of energy and conservation of momentum.

Browse courses on Conservation Laws

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Find video tutorials on conservation laws.
Watch the tutorials and take notes.
Review your notes and try to apply the concepts to practice problems.

Six other activities

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Solve practice problems on particle motion

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Solving practice problems can help you solidify your understanding of the concepts covered in the course, such as velocity, acceleration, and displacement.

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Identify the given information in the problem.
Choose the appropriate equations to solve the problem.
Solve the equations to find the unknown variables.
Check your answer to make sure it is reasonable.

Explore interactive simulations of planetary motion

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Gain a deeper understanding of the principles of planetary motion through interactive simulations, which can help visualize the complex interactions between celestial bodies.

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Find interactive simulations of planetary motion.
Explore the simulations and observe the different factors that affect planetary motion.
Experiment with different parameters to see how they affect the motion of the planets.

Create a poster explaining the concepts of angular momentum

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Creating a poster can help you synthesize your understanding of angular momentum and communicate it in a clear and concise way.

Browse courses on Angular Momentum

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Research the concepts of angular momentum.
Organize your research into a logical flow.
Design your poster using visual aids and clear language.
Present your poster to your classmates or instructor.

Design and present a poster on the motion of a projectile

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Demonstrate your understanding of projectile motion by creating a poster that visually illustrates the trajectory and other characteristics of a projectile.

Browse courses on Projectile Motion

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Research projectile motion and its key concepts.
Design a poster that clearly explains the principles of projectile motion.
Use graphs, diagrams, and other visuals to illustrate your findings.
Present your poster to your classmates or peers.

Read 'Classical Mechanics' by Taylor

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Supplement your understanding of Newton's laws of motion and other fundamental principles of mechanics by reading a classic textbook on the subject.

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Obtain a copy of 'Classical Mechanics' by John R. Taylor.
Read the book thoroughly, taking notes and highlighting important concepts.
Complete the practice problems at the end of each chapter.

Contribute to an open-source physics simulation project

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Deepen your understanding of mechanics by contributing to an open-source project that simulates physical systems, allowing you to apply your knowledge and get involved in the broader scientific community.

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Find an open-source physics simulation project that interests you.
Read the project documentation and familiarize yourself with the codebase.
Identify an area where you can contribute, such as adding a new feature or fixing a bug.
Make your changes and submit a pull request.

Career center

Learners who complete Mécanique du point matériel will develop knowledge and skills that may be useful to these careers:

Mechanical Engineer

Mechanical Engineers design, build, and maintain mechanical systems. They use mathematical and engineering principles to create efficient, safe, and reliable machines. This course in Mécanique du point matériel may be useful for Mechanical Engineers as it covers topics like rotations, velocity, power, energy, and collisions, which are fundamental concepts in mechanical engineering.

See salaries and explore the career path for Mechanical Engineer

Materials Scientist

Materials Scientists develop new materials and improve existing materials. They use mathematical and engineering principles to create materials that are stronger, lighter, and more durable. This course in Mécanique du point matériel may be useful for Materials Scientists as it covers topics like rotations, velocity, power, energy, and collisions, which are fundamental concepts in materials science.

See salaries and explore the career path for Materials Scientist

Chemical Engineer

Chemical Engineers design, build, and maintain chemical plants. They use mathematical and engineering principles to create safe, efficient, and reliable plants that produce chemicals and other products. This course in Mécanique du point matériel may be useful for Chemical Engineers as it covers topics like rotations, velocity, power, energy, and collisions, which are fundamental concepts in chemical engineering.

See salaries and explore the career path for Chemical Engineer

Environmental Engineer

Environmental Engineers design, build, and maintain systems that protect the environment. They use mathematical and engineering principles to create safe, efficient, and reliable systems that can clean up pollution and protect natural resources. This course in Mécanique du point matériel may be useful for Environmental Engineers as it covers topics like rotations, velocity, power, energy, and collisions, which are fundamental concepts in environmental engineering.

See salaries and explore the career path for Environmental Engineer

Petroleum Engineer

Petroleum Engineers design, build, and maintain oil and gas wells. They use mathematical and engineering principles to create safe, efficient, and reliable wells that produce oil and gas. This course in Mécanique du point matériel may be useful for Petroleum Engineers as it covers topics like rotations, velocity, power, energy, and collisions, which are fundamental concepts in petroleum engineering.

See salaries and explore the career path for Petroleum Engineer

Civil Engineer

Civil Engineers design, build, and maintain infrastructure projects such as bridges, roads, and buildings. They use mathematical and engineering principles to create safe, efficient, and sustainable structures. This course in Mécanique du point matériel may be useful for Civil Engineers as it covers topics like rotations, velocity, power, energy, and collisions, which are fundamental concepts in civil engineering.

See salaries and explore the career path for Civil Engineer

Nuclear Engineer

Nuclear Engineers design, build, and maintain nuclear power plants. They use mathematical and engineering principles to create safe, efficient, and reliable power plants. This course in Mécanique du point matériel may be useful for Nuclear Engineers as it covers topics like rotations, velocity, power, energy, and collisions, which are fundamental concepts in nuclear engineering.

See salaries and explore the career path for Nuclear Engineer

Aerospace Engineer

Aerospace Engineers design, develop, maintain, and test aircraft and spacecraft. They use mathematical and engineering principles to create efficient, safe, and reliable vehicles. This course in Mécanique du point matériel may be useful for Aerospace Engineers as it covers topics like rotations, velocity, power, energy, and collisions, which are fundamental concepts in aerospace engineering.

See salaries and explore the career path for Aerospace Engineer

Robotics Engineer

Robotics Engineers design, build, and maintain robots. They use mathematical and engineering principles to create efficient, safe, and reliable machines. This course in Mécanique du point matériel may be useful for Robotics Engineers as it covers topics like rotations, velocity, power, energy, and collisions, which are fundamental concepts in robotics engineering.

See salaries and explore the career path for Robotics Engineer

Industrial Engineer

Industrial Engineers design, build, and maintain systems that improve industrial production. They use mathematical and engineering principles to create safe, efficient, and reliable systems that can increase productivity and reduce costs. This course in Mécanique du point matériel may be useful for Industrial Engineers as it covers topics like rotations, velocity, power, energy, and collisions, which are fundamental concepts in industrial engineering.

See salaries and explore the career path for Industrial Engineer

Geotechnical Engineer

Geotechnical Engineers design, build, and maintain structures that interact with the ground. They use mathematical and engineering principles to create safe, efficient, and reliable structures that can withstand the forces of nature. This course in Mécanique du point matériel may be useful for Geotechnical Engineers as it covers topics like rotations, velocity, power, energy, and collisions, which are fundamental concepts in geotechnical engineering.

See salaries and explore the career path for Geotechnical Engineer

Mining Engineer

Mining Engineers design, build, and maintain mines. They use mathematical and engineering principles to create safe, efficient, and reliable mines that produce minerals and other resources. This course in Mécanique du point matériel may be useful for Mining Engineers as it covers topics like rotations, velocity, power, energy, and collisions, which are fundamental concepts in mining engineering.

See salaries and explore the career path for Mining Engineer

Automotive Engineer

Automotive Engineers design, build, and maintain vehicles. They use mathematical and engineering principles to create efficient, safe, and reliable cars and trucks. This course in Mécanique du point matériel may be useful for Automotive Engineers as it covers topics like rotations, velocity, power, energy, and collisions, which are fundamental concepts in automotive engineering.

See salaries and explore the career path for Automotive Engineer

Agricultural Engineer

Agricultural Engineers design, build, and maintain systems that improve agricultural production. They use mathematical and engineering principles to create safe, efficient, and reliable systems that can increase crop yields and reduce environmental impact. This course in Mécanique du point matériel may be useful for Agricultural Engineers as it covers topics like rotations, velocity, power, energy, and collisions, which are fundamental concepts in agricultural engineering.

See salaries and explore the career path for Agricultural Engineer

Biomechanical Engineer

Biomechanical Engineers design, build, and maintain medical devices and prosthetics. They use mathematical and engineering principles to create safe, efficient, and reliable devices that can improve the quality of life for patients. This course in Mécanique du point matériel may be useful for Biomechanical Engineers as it covers topics like rotations, velocity, power, energy, and collisions, which are fundamental concepts in biomechanical engineering.

See salaries and explore the career path for Biomechanical Engineer