Continuum Mechanics : Orthogonal Tensors, Components and Eigenvalue / Eigenvector Pairs

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Continuum Mechananics and Rigid Body Dynamics : Tensors and Centroidal Angular Momentum, Equation of Motion and Angular Acceleration

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Proofs and directional derivatives

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Verifying gradient operator identities using indicial notation; Divergence of a dyad using tensor notation; Surface integrals

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Continuum Mechanics : Fluid Velocity, Rate of Change of Illumination, Irrotational Flow and Velocity Potential

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Velocity and Temperature Fields : Flow Fields, Acceleration, Irrotational Flow and Stokes' Theorem

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Spatially Homogeneous Deformation of a Material : Lagrangian Strain Tensors and Differential Vectors

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Continuum Mechanics: Transport Theorem

I have attached four documents. The first is the problem. The three additional are notes.

Continuum Mechanics and Strain Theory : Saint-Venant Theory of Torsion, Prandtl Stress Function and Hookes' Law

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Semi-infinite, Incompressible, Linear Viscous Fluid : Acceleration and Components of Rate of Deformation Tensor

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