Module Specifications..
Current Academic Year 2023 - 2024
Please note that this information is subject to change.
| |||||||||||||||||||||||||||||||||||||||||
None Array |
|||||||||||||||||||||||||||||||||||||||||
Description This module is a mathematical introduction to classical mechanics. The student will learn about the principles of linear and angular momentum, work and energy. These will be used mathematically model physical problems. The application of the theory of central forces to satellite motion is emphasized. | |||||||||||||||||||||||||||||||||||||||||
Learning Outcomes 1. Compute kinematical quantities such as velocity, angular velocity and centre of mass. 2. State fundamental principles of linear momentum, angular momentum, and work/ energy 3. Derive equations of motion from balance of linear momentum for standard systems such as projectiles, linear oscillators, planetary orbits and pendula 4. Solve equations of motion of projectiles, pendula and oscillators 5. Explain mathematical modelling of satellite motion, using deduction of Kepler's three laws from Newton's laws of motion and gravitational, as prototype 6. Derive equations of motion rigid bodies, and solve simple problems | |||||||||||||||||||||||||||||||||||||||||
All module information is indicative and subject to change. For further information,students are advised to refer to the University's Marks and Standards and Programme Specific Regulations at: http://www.dcu.ie/registry/examinations/index.shtml |
|||||||||||||||||||||||||||||||||||||||||
Indicative Content and Learning Activities
KinematicsVelocity, acceleration, polar coordinatesMechanics of single particleforces; principle of linear momentum for free particle; examples involving projectiles, linear oscillators and pendula, simple pendulum; work, power, conservative forces and energy; examplesCentral forcesCentral forces; Kepler s laws; application to motion of planets, comets and satellitesMechanics of finite systemsBalances of linear and angular momentum for finite systems of particles; centre of mass, reactions, two-body problemRigid Body MechanicsMoving frames of reference, angular velocity, inertia tensor, planar applications, tops | |||||||||||||||||||||||||||||||||||||||||
| |||||||||||||||||||||||||||||||||||||||||
Indicative Reading List
| |||||||||||||||||||||||||||||||||||||||||
Other Resources None | |||||||||||||||||||||||||||||||||||||||||
Programme or List of Programmes
| |||||||||||||||||||||||||||||||||||||||||
Date of Last Revision | 22-JAN-10 | ||||||||||||||||||||||||||||||||||||||||
Archives: |
|