Elements of Mechanics

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Credit: 6

Coefficient: 3

Duration: 15 weeks

Weekly timetable: - 1h 30 min of course 

                               - 3h for tutorial group

Evaluation methods:  - Final exam      60%

                                      - Short tests      40% 


Teaching objectives

This course enables students to acquire a fundamental understanding of classical mechanics relating to a material point through:
- kinematics
- dynamics
- and the concepts of work and energy.


Prerequisites

Basics of mathematics and physics

Course content: Physics 1 (Mechanics)

Chapter I: Revision
-    Dimensional analysis
-    Vector analysis

Chapter II: Kinematics
-    The concept of a reference frame
-    Analysis of motion in space (general case, circular, rectilinear, intrinsic coordinates)
-    Coordinate systems (Cartesian, polar, cylindrical, spherical)
-    Relative motion (laws of composition of velocities and accelerations)
Chapter III: Dynamics
-    Principle of inertia, mass of inertia and Galilean reference frame
-    Momentum – Principle of conservation of momentum
-    Concept of force, 
-    Newton’s laws
-    Differential equation of motion
-    Different types of force (gravitational, elastic, viscous, etc.)

Chapter IV: Rotational Motion
-    Angular momentum, moment of a force
-    Theorem of angular momentum and moment of inertia
-    Applications: torsion, pendulum, etc.

Chapter V: Work, Power and Energy
-    Work and power of a force
-    Kinetic energy
-    Potential energy (gravitational, elastic, etc.) and states of equilibrium
-    Conservative and non-conservative forces
-    Conservation of energy
-    Momentum and collisions (elastic and inelastic)