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Mécanique du pointSciences Appliquées et Industrielles 1 (STPI)

FISE STPI Semester 1 Common Core Machine translation

Point Mechanics

Teaching unit Applied and Industrial Sciences 1
Course on Celene
7ECTS (EU)
1Coefficient
38:20Hours

Séquencement

C TD C TD C TD C TD C TD C TD C TD C TD C TD C TD C TD C TD C TD TD TD TD TD TD TD TD TD TD TD TD TD TP TP TP

Learning objectives

  • Know how to describe the movement of a material point in space and time.
  • Being able to express the link between this movement and the actions that cause it, putting a problem into equations and solving it in the usual simple cases.
  • Know certain types of basic or commonly encountered forces: electromagnetic and gravitational forces, fluid or solid friction forces, elastic spring booster force, wire tension.

Prerequisites

ModuleTeaching unitSemester
Mathematics 1.1Basic Sciences 1S1
Mathematics 1.2Basic Sciences 1S1
  • Concepts of vectors position, speed, acceleration.
  • Laws of Newton.
  • Concepts of kinetic energies, potential, mechanical.

Program

  • Part 1: mechanical actions and forces, laws of Newton; usual forces to know; Resolution techniques: Cartesian bases and benchmarks, projections; work and power of a constant force, kinetic energy theorem.

  • Part 2: coordinates and cylindrical bases; kinetic moment and rotation vector; moment of force in relation to a point, torso, torque; kinetic moment theorem; application to static of a solid.

  • Part 3: conservative forces and potential energy; mechanical energy and conservation; balance and stability; mechanical oscillations: equilibrium position, equation of motion, different possible regimes.

Assessment

  • Continuous control: Table control at the end of each part
  • TP reports

References

Any mechanical work at the undergraduate level / preparatory classes.

Skills

7
Ref.VerbDescriptionLevel
C_1_1solvedifferential equation for obtaining a law of movement (linear, constant coefficients, possibly degenerate)2
C_1_1describevectors position, speed and acceleration of a physical point in Cartesian or cylindrical coordinates3
C_1_1defineusual energy quantities ( Kinetic and mechanical energies of a material point, potential energy of a conservative force)2
C_1_2describecontact action: normal and tangential reactions on a support, Coulomb law for dry friction, fluid friction2
C_1_3calculatethe moment of forces relative to a given point or axis2
C_1_3recognizethe usual forces involved in a point mechanical problem (weight, thread or spring tension, solid or fluid friction forces) and write them into a direct orthonormized base; write unknown forces2
C_1_3implementmain theorems governing the movement of a material point: kinetic result theorem, kinetic moment theorem, kinetic energy theorem, cartesian and cylindrical coordinates2