Rotations: Concepts and Applications

Related lectures (32)

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

Covers the kinetic energy of a solid and its movement and rotation.

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

Explores changing frames in 2D through translations, rotations, and the introduction of a transformation matrix U.

Explores rotation in two dimensions, equilibrium conditions, angular momentum theorem, and Newton's laws.

Explains the calculation of moment of inertia for rotating objects.

Explores rotational motion, moment of inertia, torque, and static equilibrium in rigid bodies.

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

Explores diagonalization of moment of inertia and principal directions in orthonormal base vectors.

Explains the concept of moment of inertia in rigid body rotation and torque.