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Jean-Philippe Ansermet
and
Paul-Salomon Ngohe-Ekam
Ces quelques leçons de mécanique du solide indéformable 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
https://www.coursera.org/learn/mecanique-point-materiel
3. Mécanique du Solide Indéformable
Read more
Ces quelques leçons de mécanique du solide indéformable 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
https://www.coursera.org/learn/mecanique-point-materiel
3. Mécanique du Solide Indéformable
Read more
Ces quelques leçons de mécanique du solide indéformable 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
https://www.coursera.org/learn/mecanique-point-materiel
3. Mécanique du Solide Indéformable
Cette partie traite la mécanique du solide indéformable. Dans certains établissements, cette matière est vue avec une application des torseurs. Aussi, nous avons inclus dans cette partie un supplément de formation sur ce sujet. Deux leçons introduisent les torseurs. Le cours de mécanique se poursuit alors avec l'option de voir comment la matière présentée par le prof. Ansermet peut aussi être appréhendée avec l'usage des torseurs. Ces compléments ont été préparés par le Prof. Paul Salmon Ngohé Ekam de l'Ecole Nationale Supérieure Polytechnique de Yaoundé, Cameroun. Les exercices peuvent être résolus sans ou avec les torseurs, suivant l'option choisie.
4. Mécanique Lagrangienne
https://www.coursera.org/learn/mecanique-lagrangienne
Register for this course and see more details by visiting:
OpenCourser.com/course/soeoiq/mecanique
What's inside
Syllabus
17 Mécanique d'un système de points matériels
Cette leçon étend les lois de Newton à un système de points matériels. On arrive à des résultats fondamentaux pour tout problème de mécanique et on les appliquera dans la suite de ce MOOC au cas particulier du solide indéformable. Ceux qui n'auraient pas suivi les deux parties précédentes peuvent rapidement prendre connaissance de nos conventions de notation en regardant les modules placés au début de cette leçon. Ceux qui souhaitent se familiariser avec l'usage des torseurs devront suivre aussi les leçons 17.A et 17.B. Nous vous recommandons de consacrer une semaine à chacune de ces deux leçons complémentaires.
Read more
Syllabus
17 Mécanique d'un système de points matériels
Cette leçon étend les lois de Newton à un système de points matériels. On arrive à des résultats fondamentaux pour tout problème de mécanique et on les appliquera dans la suite de ce MOOC au cas particulier du solide indéformable. Ceux qui n'auraient pas suivi les deux parties précédentes peuvent rapidement prendre connaissance de nos conventions de notation en regardant les modules placés au début de cette leçon. Ceux qui souhaitent se familiariser avec l'usage des torseurs devront suivre aussi les leçons 17.A et 17.B. Nous vous recommandons de consacrer une semaine à chacune de ces deux leçons complémentaires.
Read more
18 Cinématique du solide
La mécanique du point matériel avait nécessité tout un appareillage pour décrire sa position, sa vitesse et son accélération. Pour le solide, il en va de même, il faut se donner les moyens de décrire la position et l'orientation d'un solide. De plus, on doit pouvoir déterminer la vitesse et l'accélération de tout point du solide.
19 Dynamique du solide
Nous appliquons ici les lois de la dynamique que nous avons établies pour tout système de point matériel. Une difficulté particulière est traitée ici dans le contexte de la dynamique du solide indéformable : celle de savoir comment le moment cinétique change quand on change le point de référence par rapport auquel on définit le moment cinétique. Cette question est reprise par le prof. Ekam avec le formalisme des torseurs.
20 Dynamique du solide, axe d'orientation fixe
Cette leçon et la suivante présente des applications de la dynamique du solide. On commence ici avec un solide dont un axe est d'orientation fixe, par exemple le pendule physique.
21 Dynamique du solide, mouvement quelconque
Dans cette leçon, on examine la dynamique d'un solide dans un mouvement tout à fait général. On commence par dériver les équations du mouvement dites équations d'Euler. Le deuxième module discute les effets gyroscopiques de façon qualitative. La statique des solides indéformables est ensuite traitée avec les torseurs.
Good to know
Good to know
Know what's good ,
what to watch for , and
possible dealbreakers
May coincide with coursework in some University/College undergraduate programs in France
Provides opportunities for advanced learning and practice with applications of Torseurs
Includes introductory lessons on torseurs, allowing learners to explore this topic
Covers various concepts and applications within the domain of mechanics of rigid bodies
Features a series of exercises that can be solved without or with the use of torseurs, catering to diverse learning preferences
Save this course
Save Mécanique : Solide Indéformable to your list so you can find it easily later:
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Reviews summary
Indispensable for physics majors
This course serves as a key component to understanding the fundamentals of physics. Mechanics of Solids is a must-know concept for aspiring physicists.
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 : Solide Indéformable with these
activities:
Review Math Skills
Show steps
Execute summative or formative self-assessment test. Review concepts and apply them while working through problems.
Browse courses on
Arithmetic
Show steps
-
Self-assess your core math skills.
-
Identify areas of weakness and opportunities for improvement.
-
Find practice problems and work through them incrementally.
-
Study the theory behind the concepts that are giving you trouble.
-
Work with a tutor or mentor to go over concepts you don't understand.
Aggregate Course Resources
Show steps
Gather and organize course notes, assignments, quizzes, and exams to facilitate efficient review and retention of course material.
Show steps
-
Create a dedicated folder or notebook for course materials.
-
Regularly download and print lecture notes, assignments, and quizzes.
-
Organize the materials chronologically or by topic.
-
Highlight key concepts and make annotations for better understanding.
-
Review the materials periodically to reinforce your learning.
Model Rotational and Translational Motion
Show steps
View tutorial videos and complete practice exercises to strengthen your conceptual understanding of rotational and translational motion.
Browse courses on
Kinematics
Show steps
-
Search for online tutorials on rotational and translational motion.
-
Watch the videos and take notes on the key concepts.
-
Solve the practice problems provided in the tutorials.
-
Review your notes and attempt to explain the concepts to someone else.
Five other activities
Expand to see all activities and additional details
Show all eight activities
Solve Mechanics Problems
Show steps
Engage in problem-solving exercises to improve your ability to apply mechanics concepts to real-world scenarios.
Browse courses on
Problem Solving
Show steps
-
Find a set of mechanics practice problems.
-
Work through the problems step-by-step, showing all your work.
-
Check your answers against the provided solutions.
-
Identify any areas where you need additional practice.
-
Go back and review the relevant concepts before attempting more problems.
Join a Study Group
Show steps
Participate in regular study sessions with peers to enhance comprehension, clarify concepts, and engage in collaborative learning.
Show steps
-
Form a study group with classmates.
-
Establish a regular meeting schedule.
-
Take turns leading the group and presenting on assigned topics.
-
Work together to solve problems and answer questions.
-
Provide each other with feedback and support.
Design a Simple Machine
Show steps
Conceptualize, design, and construct a functional simple machine to enhance your comprehension of mechanics principles.
Browse courses on
Engineering
Show steps
-
Brainstorm ideas for a simple machine that solves a specific problem.
-
Research the principles of mechanics related to your chosen design.
-
Sketch a detailed plan of your machine, including dimensions and materials.
-
Gather the necessary materials and tools.
-
Build and test your machine, making adjustments as needed.
Tutor Students in Mechanics
Show steps
Share your knowledge and skills by assisting other students in understanding mechanics concepts and solving problems.
Browse courses on
Teaching
Show steps
-
Identify students who may benefit from tutoring in mechanics.
-
Establish a regular tutoring schedule.
-
Prepare lesson plans that cover key mechanics concepts.
-
Work with students to identify their strengths and weaknesses.
-
Provide personalized guidance and support to help students improve their understanding of mechanics.
Build a Virtual Model of a Mechanical System
Show steps
Develop a virtual model of a mechanical system to gain hands-on experience in applying mechanics concepts and utilizing simulation software.
Browse courses on
Simulation
Show steps
-
Choose a mechanical system to model.
-
Research the system and gather data on its components and behavior.
-
Select a simulation software and learn its capabilities.
-
Build the virtual model of the system in the software.
-
Run simulations and analyze the results to validate the model and gain insights into the system's behavior.
Review Math Skills
Show steps
Execute summative or formative self-assessment test. Review concepts and apply them while working through problems.
Browse courses on
Arithmetic
Show steps
Show steps
Show steps
- Self-assess your core math skills.
- Identify areas of weakness and opportunities for improvement.
- Find practice problems and work through them incrementally.
- Study the theory behind the concepts that are giving you trouble.
- Work with a tutor or mentor to go over concepts you don't understand.
Aggregate Course Resources
Show steps
Gather and organize course notes, assignments, quizzes, and exams to facilitate efficient review and retention of course material.
Show steps
Show steps
Show steps
- Create a dedicated folder or notebook for course materials.
- Regularly download and print lecture notes, assignments, and quizzes.
- Organize the materials chronologically or by topic.
- Highlight key concepts and make annotations for better understanding.
- Review the materials periodically to reinforce your learning.
Model Rotational and Translational Motion
Show steps
View tutorial videos and complete practice exercises to strengthen your conceptual understanding of rotational and translational motion.
Browse courses on
Kinematics
Show steps
Show steps
Show steps
- Search for online tutorials on rotational and translational motion.
- Watch the videos and take notes on the key concepts.
- Solve the practice problems provided in the tutorials.
- Review your notes and attempt to explain the concepts to someone else.
Five other activities
Expand to see all activities and additional details
Show all eight activities
Solve Mechanics Problems
Show steps
Engage in problem-solving exercises to improve your ability to apply mechanics concepts to real-world scenarios.
Browse courses on
Problem Solving
Show steps
Show steps
Show steps
- Find a set of mechanics practice problems.
- Work through the problems step-by-step, showing all your work.
- Check your answers against the provided solutions.
- Identify any areas where you need additional practice.
- Go back and review the relevant concepts before attempting more problems.
Join a Study Group
Show steps
Participate in regular study sessions with peers to enhance comprehension, clarify concepts, and engage in collaborative learning.
Show steps
Show steps
Show steps
- Form a study group with classmates.
- Establish a regular meeting schedule.
- Take turns leading the group and presenting on assigned topics.
- Work together to solve problems and answer questions.
- Provide each other with feedback and support.
Design a Simple Machine
Show steps
Conceptualize, design, and construct a functional simple machine to enhance your comprehension of mechanics principles.
Browse courses on
Engineering
Show steps
Show steps
Show steps
- Brainstorm ideas for a simple machine that solves a specific problem.
- Research the principles of mechanics related to your chosen design.
- Sketch a detailed plan of your machine, including dimensions and materials.
- Gather the necessary materials and tools.
- Build and test your machine, making adjustments as needed.
Tutor Students in Mechanics
Show steps
Share your knowledge and skills by assisting other students in understanding mechanics concepts and solving problems.
Browse courses on
Teaching
Show steps
Show steps
Show steps
- Identify students who may benefit from tutoring in mechanics.
- Establish a regular tutoring schedule.
- Prepare lesson plans that cover key mechanics concepts.
- Work with students to identify their strengths and weaknesses.
- Provide personalized guidance and support to help students improve their understanding of mechanics.
Build a Virtual Model of a Mechanical System
Show steps
Develop a virtual model of a mechanical system to gain hands-on experience in applying mechanics concepts and utilizing simulation software.
Browse courses on
Simulation
Show steps
Show steps
Show steps
- Choose a mechanical system to model.
- Research the system and gather data on its components and behavior.
- Select a simulation software and learn its capabilities.
- Build the virtual model of the system in the software.
- Run simulations and analyze the results to validate the model and gain insights into the system's behavior.
Career center
Learners who complete Mécanique : Solide Indéformable will develop knowledge and skills
that may be useful to these careers:
Materials Scientist
Materials Scientist
Materials Scientists research and develop new materials for a variety of applications, such as electronics, energy, and transportation. They work in a variety of industries, including manufacturing, research, and development. Mécanique : Solide Indéformable is relevant to this role because it provides a comprehensive overview of the mechanics of rigid bodies, which is essential for understanding the behavior of materials under stress.
Materials Science Technician
Materials Science Technician
Materials Science Technicians assist Materials Scientists in the research and development of new materials for a variety of applications, such as electronics, energy, and transportation. They work in a variety of industries, including manufacturing, research, and development. Mécanique : Solide Indéformable is relevant to this role because it provides a comprehensive overview of the mechanics of rigid bodies, which is essential for understanding the behavior of materials under stress.
Mechanical Engineering Technician
Mechanical Engineering Technician
Mechanical Engineering Technicians assist Mechanical Engineers in the design, development, and testing of mechanical systems. They work in a variety of industries, including manufacturing, energy, and transportation. Mécanique : Solide Indéformable is relevant to this role because it provides a comprehensive overview of the mechanics of rigid bodies, which is essential for understanding the behavior of many mechanical systems. This course may be particularly useful for Mechanical Engineering Technicians who are involved in the design or analysis of mechanical systems that involve rigid bodies, such as robots, vehicles, and machinery.
Civil Engineering Technician
Civil Engineering Technician
Civil Engineering Technicians assist Civil Engineers in the design, construction, and maintenance of infrastructure, such as bridges, buildings, and roads. They work in a variety of industries, including construction, transportation, and energy. Mécanique : Solide Indéformable is relevant to this role because it provides a comprehensive overview of the mechanics of rigid bodies, which is essential for understanding the behavior of civil engineering structures.
Aerospace Engineering Technician
Aerospace Engineering Technician
Aerospace Engineering Technicians assist Aerospace Engineers in the design, development, testing, and operation of aircraft, spacecraft, and other aerospace systems. They work in a variety of industries, including aerospace, defense, and transportation. Mécanique : Solide Indéformable is relevant to this role because it provides a comprehensive overview of the mechanics of rigid bodies, which is essential for understanding the behavior of aircraft and spacecraft. This course may be particularly useful for Aerospace Engineering Technicians who are involved in the design or analysis of aircraft or spacecraft structures.
Civil Engineer
Civil Engineer
Civil Engineers design, build, and maintain infrastructure, such as bridges, buildings, and roads. They work in a variety of industries, including construction, transportation, and energy. Mécanique : Solide Indéformable is relevant to this role because it provides a comprehensive overview of the mechanics of rigid bodies, which is essential for understanding the behavior of civil engineering structures.
Aerospace Engineer
Aerospace Engineer
Aerospace Engineers design, develop, test, and operate aircraft, spacecraft, and other aerospace systems. They work in a variety of industries, including aerospace, defense, and transportation. Mécanique : Solide Indéformable is relevant to this role because it provides a comprehensive overview of the mechanics of rigid bodies, which is essential for understanding the behavior of aircraft and spacecraft. This course may be particularly useful for Aerospace Engineers who are involved in the design or analysis of aircraft or spacecraft structures.
Mechanical Engineer
Mechanical Engineer
Mechanical Engineers design, develop, build, and test mechanical systems. They work in a variety of industries, including manufacturing, energy, and transportation. Mécanique : Solide Indéformable is relevant to this role because it provides a comprehensive overview of the mechanics of rigid bodies, which is essential for understanding the behavior of many mechanical systems. This course may be particularly useful for Mechanical Engineers who are involved in the design or analysis of mechanical systems that involve rigid bodies, such as robots, vehicles, and machinery.
Research Scientist
Research Scientist
Research Scientists conduct research in a variety of fields, including science, engineering, and medicine. They work in a variety of industries, including academia, government, and industry. Mécanique : Solide Indéformable is relevant to this role because it provides a comprehensive overview of the mechanics of rigid bodies, which is essential for understanding the behavior of many physical systems. This course may be particularly useful for Research Scientists who are involved in research on the mechanics of materials, structures, or systems.
Professor
Professor
Professors teach and conduct research at colleges and universities. They work in a variety of fields, including science, engineering, and medicine. Mécanique : Solide Indéformable is relevant to this role because it provides a comprehensive overview of the mechanics of rigid bodies, which is essential for teaching and conducting research in a variety of fields. This course may be particularly useful for Professors who are teaching or conducting research in the mechanics of materials, structures, or systems.
Patent Attorney
Patent Attorney
Patent Attorneys help inventors obtain patents for their inventions. They work in a variety of industries, including law, engineering, and science. Mécanique : Solide Indéformable is relevant to this role because it provides a comprehensive overview of the mechanics of rigid bodies, which is essential for understanding the mechanical aspects of inventions.
Technical Writer
Technical Writer
Technical Writers create technical documentation, such as manuals, reports, and presentations. They work in a variety of industries, including manufacturing, software development, and healthcare. Mécanique : Solide Indéformable is relevant to this role because it provides a comprehensive overview of the mechanics of rigid bodies, which is essential for writing technical documentation on a variety of topics. This course may be particularly useful for Technical Writers who are writing documentation on topics such as mechanical engineering, aerospace engineering, or civil engineering.
Product Manager
Product Manager
Product Managers develop and manage products for a variety of companies. They work in a variety of industries, including technology, manufacturing, and consumer goods. Mécanique : Solide Indéformable is relevant to this role because it provides a comprehensive overview of the mechanics of rigid bodies, which is essential for understanding the mechanical aspects of products. This course may be particularly useful for Product Managers who are working on products that involve mechanical components, such as robots, vehicles, or machinery.
Sales Engineer
Sales Engineer
Sales Engineers sell technical products and services to businesses. They work in a variety of industries, including manufacturing, software development, and healthcare. Mécanique : Solide Indéformable is relevant to this role because it provides a comprehensive overview of the mechanics of rigid bodies, which is essential for understanding the mechanical aspects of products and services.
Quality Assurance Engineer
Quality Assurance Engineer
Quality Assurance Engineers ensure that products and services meet quality standards. They work in a variety of industries, including manufacturing, software development, and healthcare. Mécanique : Solide Indéformable is relevant to this role because it provides a comprehensive overview of the mechanics of rigid bodies, which is essential for understanding the mechanical aspects of products and services.
For more career information including salaries, visit:
OpenCourser.com/course/soeoiq/mecanique
Reading list
We've selected 11 books
that we think will supplement your
learning. Use these to
develop background knowledge, enrich your coursework, and gain a
deeper understanding of the topics covered in
Mécanique : Solide Indéformable.
Ce livre fournit une couverture complète de la mécanique des milieux continus, y compris des solides indéformables.
Ce livre classique fournit une couverture approfondie de la théorie de l'élasticité, avec un accent sur la compréhension des concepts fondamentaux.
Ce livre fournit une couverture avancée de la mécanique des matériaux, y compris des sujets tels que la plasticité et la viscoélasticité.
Ce livre fournit une couverture approfondie de la théorie de la viscoélasticité, y compris les applications aux matériaux polymères et biologiques.
Save
Ce livre fournit une approche analytique de la mécanique, avec un accent sur la résolution de problèmes.
Ce livre fournit une couverture approfondie de la mécanique des solides, avec de nombreux exemples et problèmes résolus.
Save
Ce livre fournit une couverture complète de l'élasticité, y compris les méthodes numériques de pointe.
Ce livre fournit une couverture approfondie de la théorie de la plasticité, y compris les applications aux matériaux métalliques et composites.
Save
Ce livre fournit une introduction complète à la mécanique classique, couvrant un large éventail de sujets pertinents pour ce cours.
Ce livre est un texte classique sur la mécanique des matériaux, fournissant une couverture approfondie des propriétés et du comportement des solides.
Ce livre est un manuel d'ingénierie largement utilisé qui couvre la statique et la dynamique, avec un accent sur les applications pratiques.
For more information about how these books relate to this course, visit:
OpenCourser.com/course/soeoiq/mecanique
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Effort
4 heures/semaine
Via
Coursera
Institution
École Polytechnique Fédérale de Lausanne2
Instructors
Jean-Philippe Ansermet
Paul-Salomon Ngohe-Ekam
Language
Français
Transcripts
English
Português
Deutsch
Italiano
中文
日本語
हिंदी
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Pусский
Türkçe
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Română
Bahasa Indonesia
فارسی
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български
Good to know
May coincide with coursework in some University/College undergraduate programs in France
Provides opportunities for advanced learning and practice with applications of Torseurs
Includes introductory lessons on torseurs, allowing learners to explore this topic
Covers various concepts and applications within the domain of mechanics of rigid bodies
Features a series of exercises that can be solved without or with the use of torseurs, catering to diverse learning preferences
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