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This subject continues from Engineering Mechanics to deepen the understanding of (momentum-based) Newtonian Mechanics. It focuses on the study of the motion of rigid bodies in 3D space in kinematics, kinetics and finally the Newton Euler approach of obtaining the equation of motion as well as collision of rigid bodies. Extension to multi-body systems is introduced in each concept. System analysis is introduced by focusing on a case study of gyroscopic motion.
Kinematics of rigid bodies:
- Non inertial coordinate systems
- Rotation representation
- Angular velocity and acceleration in non-inertial frame
Rigid Body Kinetics
- Kinetics of rigid bodies:
- Inertia tensor, principle axis
- Parallel axis theorem.
Newton-Euler Approach to obtaining equation of motion.
Collision of Rigid Bodies:
- Impulse-momentum principle
- Collision of point masses (particles)
- Collision of unconstrained rigid bodies
- Collision of constrained rigid bodies.
Intended learning outcomes
Having completed this unit the student is expected to be able to:
- independently formulate physical and mathematical models for three-dimensional dynamic analysis of mechanical systems;
- solve the mathematical models by means of specialised analytical and numerical methods.
On completion of the subject students should have the following skills:
- the ability to apply knowledge of science and engineering fundamentals;
- the ability to undertake problem identification, formulation and solution;
- the ability to utilise a systems approach to complex problems and to design an operational performance;
- the ability to communicate effectively, with the engineering team and with the community at large;
- the capacity for lifelong learning and professional development.
Last updated: 10 November 2023