Course Description

Course Name

Mathematics 3Q: Mechanics

Session: VGSS3120

Hours & Credits

10 Scotcat Credits

Prerequisites & Language Level

Overview

Short Description
The aim of this course is to study the motion of a single particle, including central forces, conservation of energy and motion relative to a rotating frame of reference.

Assessment
100% on degree examination.
Main Assessment In: April/May

Course Aims
The aim of this course is to extend the work on the basic two-dimensional motion of particles covered in Mathematics 2C. Topics covered are:
4. Conservative forces.
5. Motion under the action of a central force.
6. Motion relative to a rotating frame of referenece.
Intended Learning Outcomes of Course
By the end of this course students will be able to:

1. Apply Newton's second law to the case of a central force; proving motion is planar and that energy and angular momentum are conserved.
2. Solve for particle motion under the action of a central force using either conservation of energy or by solving for the particle path.
3. Determine whether a circular orbit is stable.
4. Establish whether a force is conservative, and when it is, determine the corresponding potential.
5. Use conservation of energy to solve for particle motion under the action of a conservative force.
6. Solve for particle motion measured with respect to a rotating frame of reference.

*Course content subject to change