Dynamics: Tangential and Normal Accelerations

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Explores surfaces with constant curvature, emphasizing the significance of minimal oriented radius and the properties of pseudo-spheres.

Covers global relief indicators, altitude models, slope, orientation, curvature, and morphological indices for terrain description.

Covers linear and membrane theories of pressure vessels, differential geometry of surfaces, and the reduction of dimensionality from 3D to 2D.

Covers strain-displacement relations, simplifications, constitutive relations, equilibrium equations, and circular rings.

Explores surfaces with variable curvature, discussing their construction and properties.

Covers the application of the Weingarten map on regular surfaces and the shape operator.

Covers geodesic curves parameterized at constant speed to minimize distances between points.

Explores the basics of sintering, including diffusion mechanisms, control parameters, and vapor pressure effects on curved surfaces.

Covers advanced physics topics such as definitions, rectilinear motion, vectors, and motion in three dimensions.