Rodrigues' rotation formula

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Covers the concept of vector rotation in kinematics and the derivative of a vector with constant norm.

Explores normal acceleration, spatial rotations, vector rotation, and angular speed concepts in physics.

Covers position, velocity, and acceleration in polar, cylindrical, and spherical coordinate systems.

Covers 3D rotations, quaternions, and matrices of direction cosines, providing an elegant solution to the limitations of rotation matrices.

Explores the mechanics of slender structures, introducing concepts like finite strain and finite rotation theory.

Explores harmonic oscillators, pendulum movement, and spherical coordinates in physics.

Covers the theory of nonlinear curved beams, discussing inextensible strains, finite rotations, and the exact inextensionable theory.

Covers unit vectors, rotations, and accelerations in spherical coordinates for physics applications.

Explores the theory of finite strain and rotation in Kirchhoff rods, covering inextensible strains, finite rotations, and equilibrium.

Covers stiffness matrices, system assembly, constraints, reactions, and displacements in structural analysis.