- 3EM5CS06

Goal(s)

A refresher course in general mechanics for students who have not (or have had very little) taken courses in Engineering Sciences (SI) during their previous studies.

Responsible(s)

Robin CHABRIER

Content(s)

The content is tailored to three groups: GN1 (16 hours), GN2 (8 hours), and GN3 (2 hours), depending on the students’ original academic track and their needs.

For GN1 (16 hours):

• Kinematics of a point: base, coordinate system, and reference frame; parameterization; position, velocity, and acceleration;
• Kinematics of a rigid body: concept of a rigid body, twist representation and properties, composition of motions;
• Modeling of mechanical actions: definition; wrench representation, global wrench of a local mechanical action; fundamental principle of statics ;
• Kinetics: inertial properties of a solid and inertia matrix; kinetic moment; dynamic moment;
• Dynamics and Energetics: Fundamental Principle of Dynamics ; Power of a mechanical action; energy-based approach.

For GN2 (8 hours):

• Modeling of mechanical actions: definition; wrench representation, global wrench of a local mechanical action; fundamental principle of statics ;
• Kinetics: inertial properties of a solid and inertia matrix; kinetic moment; dynamic moment;
• Dynamics and Energetics: Fundamental Principle of Dynamics ; Power of a mechanical action; energy-based approach.

For GN3 (2 hours): Assessment of prior learning through applications primarily on the following topics:

• Dynamics and Energetics: Fundamental Principle of Dynamics ; Power of a mechanical action; energy-based approach.

The prerequisites vary by level group.

For GN1 (16 hours):

• Mathematical tools: scalar product, vector product in 3D space, matrix algebra.

For GN2 (8 hours):

• Mathematical tools: scalar product, vector product in R3, matrix calculus;
• Point kinematics: basis, coordinate system, and reference frame; parameterization; position, velocity, and acceleration;
• Solid kinematics: concept of a rigid body, twist representation and properties, composition of motions;

For GN3 (2 hours): The prerequisites for this level group correspond to the skills acquired in the CPGE PT and PSI programs, and to the content of GN1 (16 hours) of this course:

• Mathematical tools: scalar product, vector product in R3, matrix calculus;
• Point kinematics: basis, coordinate system, and reference frame; parameterization; position, velocity, and acceleration;
• Solid kinematics: concept of a rigid body, twist representation and properties, composition of motions;
• Modeling of mechanical actions: definition; wrench representation, global wrench of a local mechanical action; fundamental principle of statics;
• Kinetics: inertial properties of a solid and inertia matrix; kinetic moment; dynamic moment;
• Dynamics and Energetics: Fundamental Principle of Dynamics; power of a mechanical action; energy-based approach.

Test

Formative assessment following the tutoring sessions.

Calendar

The course exists in the following branches:

• Curriculum - Year 1 Engineering Bachelor Degree - Semester 5

Additional Information

Course ID : 3EM5CS06
Course language(s):

You can find this course among all other courses.