Module Identifier | MA35510 | ||

Module Title | DYNAMICS | ||

Academic Year | 2001/2002 | ||

Co-ordinator | Dr R Jones | ||

Semester | Semester 2 | ||

Pre-Requisite | MA24510 | ||

Course delivery | Lecture | 19 x 1hour lectures | |

Seminars / Tutorials | 3 x 1hour example classes | ||

Assessment | Exam | 2 Hours (written examination) | 100% |

Resit assessment | 2 Hours (written examination) | 100% |

This module extends the Newtonian mechanics developed in MA24510 to the motion of a system of interacting particles and rigid bodies. The syllabus will include a brief discussion of the statics of a rigid body, Euler's equations, the motion of a billiard ball and the motion of tops and gyroscopes.

To introduce students to the motion of a rigid body.

On completion of this module, a student should be able to:

- calculate moments and products of inertia and find the principal axes and principal moments of inertia;
- write down valid equations of motion for a rigid body rotating about a fixed point;
- determine the motion of a sphere rolling and sliding on a plane;
- explain the actions of a gyroscope.

1. EQUATIONS OF MOTION OF A SYSTEM OF PARTICLES: Centre of mass, angular momentum, the moment of a force and couples.

2. DEFINITION OF A RIGID BODY: Moments and products of inertia.

3. MOTION OF A RIGID BODY: To include the rolling of spheres, the precession of axi-symmetric bodies and a discussion of the gyrocompass.

M Lunn. (1991)

F Chorlton. (1983)

T W B Kibble. (1985)