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A characteristic of mechanical engineering is that things move. Parts are subject to forces, causing them to accelerate. They impact on each other, the resulting impulses causing changes in momentum. Parts spin and must be balanced while gyroscopic forces operate. Vehicles in space are subject to gravitational fields and propulsive thrusts. Fluctuating forces cause vibrations that can have many modes that must be damped out.

The student of this advanced course must develop the ability to analyse all of these.
The ability to analyse comes with a cost. Motions, forces, moments and energy are all subject to mathematical equations, many of them of an advanced nature. In grasping the fundamentals, the student will come to grips with differential equations, vectors, operators, matrices and tensors. These skills are built up as understandable solutions to practical engineering problems, illustrated where possible by real-time simulations.