# Kinematics (05AOCCIN)

**Coefficient :**1.5**Hourly Volume:**30h (including 18h supervised)- CTD : 18h supervised (and 3h unsupervised)
- Out-of-schedule personal work : 9h

### AATs Lists

## Description

- Objective: Understanding of point and solid motion. Expression of vectors position in 3D space. Calculation of velocities and accelerations of a point in motion. Notion of instantaneous rotation vectors and velocities in a solid.

### Programme :

A) Kinematics of a point

- Reminders on vectors, their decomposition and their operators
- Definition of position, velocity and acceleration vectors
- Calculation of the velocity and acceleration vectors of a point

B) Composition of motions

- Definition of motions and reference frames
- Calculation and laws of velocity composition
- Particular driving motions

C) Kinematics of solids

- Fundamental relationship between the velocities of a solid body
- Study of the kinematic torsor and applications
- Application to plane mechanisms

## Learning Outcomes AAv (AAv)

AAv1 [heures: 12, B2, B3, B4] : At the end of the first three days of the course, students will be able to describe the positions, velocities and accelerations of a moving point in space, using the appropriate mathematical entities:

AAv2 [heures: 9, B2, B3, B4] : At the end of the 4th and 5th days of the course, students will be able to determine the nature of point movements and apply the laws of composition of speeds and accelerations:

AAv3 [heures: 9, B2, B3, B4] : At the end of the last two days of the course, students will be able to determine the speeds and accelerations in a solid, whatever the point chosen, from the laws of the solid and the expression of the kinematic torso:

## Assessment methods

Average of several short continuous assessment evaluations

## Key Words

Position, velocity and acceleration vectors. Kinematics of the point and the solid.

## Prerequisites

Derivation of analytical functions, basic elements of trigonometry. Elements of analytical geometry: Cartesian coordinate system, vectors. Elements of vector analysis: scalar and vector products, moment of a vector. Position, velocity and acceleration vectors. Kinematics of the point and the solid.

## Resources

Mécanique du point : cours et 63 exercices corrigés, MASSON 1999. Mécanique du solide : cours avec exercices résolus, MASSON 1996.