Solid Rolling without Slipping

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Covers the calculation of reaction forces using the displacement theorem in a simple beam example.

Explores symmetries in diffusion equations, showing how they simplify analysis and infer solution properties.

Covers one-dimensional and two-dimensional motion, dynamics, and energy with a focus on mathematical modeling and rigorous approach.

Explores the control systems of the Space Shuttle, including hand controllers and reference directions.

Covers 2D transformations, linear maps, matrices, affine transformations, and orthogonal transformations.

Covers the concept of vectors in solids, instantaneous rotation centers, and rotation compositions.

Covers the transition from order to disorder and the significance of scalar fields in breaking the electroweak symmetry.

Covers the equilibrium of rotating objects and the analysis of forces and moments.

Introduces the basics of mechanical guidances, degrees of freedom, and types of guidances.

Explores reflection and rotation composition in analytical geometry, including finding centers and solving fixed point systems.