Dynamics of Mechanical Systems: Piston Machines

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Page 3 of 4

Explores symmetries in Newtonian mechanics and wave equations, highlighting their significance in understanding physical laws.

Covers the concept of 2D rotations and their analytical expressions.

Explores the complexity of rotations in 3D space, covering moment of force, energy equivalence, and cross product matrices.

Explores angular momentum, rotational dynamics, and moment of inertia for solids.

Explores kinematics and dynamics of rigid bodies, including Euler angles and moment of inertia.

Covers advanced topics in rotational dynamics, including gyroscopic effects and solid body dynamics, with practical exercises and announcements.

Explores the analysis of motion in solid mechanics, covering velocity, acceleration, and kinematics of solid bodies.

Covers the preservation of isometry by rotations and symmetries.

Covers the effect of the Earth's rotation on ballistics and projectile trajectories.

Explains the inertia tensor, main axes, principal moments, and balancing of rotating solids.