MA35510 - DYNAMICS

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%

General description

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.

Aims

To introduce students to the motion of a rigid body.

Learning outcomes

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.

Syllabus

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.

Reading Lists

Books
** Recommended Text
M Lunn. (1991) A First Course in Mechanics. Oxford 0198534337
** Supplementary Text
F Chorlton. (1983) Textbook of Dynamics. 2nd. Ellis Horwood 085312390X
T W B Kibble. (1985) Classical Mechanics. 3rd. McGraw-Hill 0582450233