Physics 2
[FSAB1202]
[30h + 30h] 6 credits
This course is taught in the 2d semester.
Teacher(s): Paul Fisette, Piotr Sobieski(coord.)
Language: French
Level: First
Aims
At the end of the course, students are expected to be able:
1. to express the movement equations of a rigid body supporting various forces in the vectorial form (Newton-Euler equations); to derive system motion equations in terms of generalized coordinates and their derivatives, for a system of interconnected rigid bodies;
2. to use a cutting method to compute a force (or torque) inside an internal link;
3. to use the basic laws of electromagnetism in order to solve simple electromagnetical or electromechanical problems;
4. to integrate the various electromagnetical phenomena in the Maxwell equations formalism.
Main themes
The first part starts with elements of 3D vector geometry needed to represent the instantaneous configurations of one or several interconnected rigid bodies. Next its derives the equations describing the dynamics of a single rigid body (Newton-Euler equations), and then it deals with the tools necessary to modelize rigid bodies dynamics (by means of generalized coordinates). Finally, it briefly presents some elements of rigid bodies static's (cutting method, iso- and hyper-static configurations, ).
The second part introduces basic laws of electromagnetism, and their applications in vacuum and matter as well (Biot-Savart & Ampere laws; magnetic induction, simple magnetic circuits). Induction phenomena due to variable magnetic fields (Lenz-Faraday laws, inductance) are then treated. This part concludes through an integrated approach of electromagnetical phenomena within the formalism of Maxwell equations.
3. Summary: content and methods
Part 1. Mechanics of rigid bodies
- Vectorial geometry and kinematics in 3D
- Dynamic characterization of a rigid body (mass center, inertia, )
- Dynamics of a system of interconnected rigid bodies
- Static of a system of rigid bodies
Part 2. Magnetostatics - induction - electromagnetic field
- Magnetostatics in vacuum
- Magnetostatics in matter
- Electromagnetic induction phenomena
- Electromagnetic field
Methods: Problem-based learning, exercises, lectures, practical classes
Content and teaching methods
- Vectorial geometry and kinematics in 3D
- Dynamic characterization of a rigid body (mass center, inertia, )
- Dynamics of a system of interconnected rigid bodies
- Static of a system of rigid bodies
Part 2. Magnetostatics - induction - electromagnetic field
- Magnetostatics in vacuum
- Magnetostatics in matter
- Electromagnetic induction phenomena
- Electromagnetic field
Methods: Problem-based learning, exercises, lectures, practical classes
Other information (prerequisite, evaluation (assessment methods), course materials recommended readings, ...)
- Workfiles for each of the parts (available on the website and in
printed version); Reference book: University Physics (Freedman and Young)