[Newton’s laws of motion] Revision of Newton's laws of motion and the concept of kinetic and potential energy. Conservative force fields and conservation of energy. Equilibrium of a particle and stability of equilibrium.

[Central forces and planetary and satellite motion] Motion in a plane is discussed with a focus on central forces. Newton’s law of gravitation. Determination of the orbit from the central force. Kepler’s laws of planetary motion and the motion of satellites.

[Moving coordinate systems] Non-inertial coordinate systems. Rotating coordinate systems. Velocity and acceleration in a moving frame. Coriolis and centripetal acceleration.

[Systems of Particles] Centre of mass. Momentum of a system of particles. Motion of the centre of mass. Angular momentum of a system of particles. Total external moment acting on a system and its relation to the angular momentum.

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*Curricular information is subject to change*

Learning Outcomes:

On completion of this module students should be able to

1. Analyse the stability of equilibrium positions of a particle.

2. Solve orbit problems in mathematical terms.

3. Explain the concepts of planetary and satellite orbits including Kepler's laws.

4. Derive expressions for the velocity and acceleration in a rotating frame.

5. Explain the concepts of angular velocity, angular momentum for a system of particles.

6. Understand the relation between the angular momentum and total external moment acting on a system.

Student Effort Hours:

Student Effort Type | Hours |
---|---|

Lectures | 24 |

Tutorial | 11 |

Specified Learning Activities | 25 |

Autonomous Student Learning | 40 |

Total | 100 |

Approaches to Teaching and Learning:

Live lectures, selected pre-recorded lectures, and tutorials

Live lectures, selected pre-recorded lectures, and tutorials

Requirements, Exclusions and Recommendations

Recommended first modules in Calculus, Linear Algebra, and Differential Equations.

Module Requisites and Incompatibles

Not applicable to this module.
Assessment Strategy

Description | Timing | Component Scale | % of Final Grade | ||
---|---|---|---|---|---|

Not yet recorded. |

Carry forward of passed components

No

No

Resit In | Terminal Exam |
---|---|

Spring | Yes - 2 Hour |

Feedback Strategy/Strategies

• Group/class feedback, post-assessment

How will my Feedback be Delivered?

Not yet recorded.

Name | Role |
---|---|

Assoc Professor Anthony Cronin | Tutor |

Giulio Taiocchi | Tutor |