Moment of inertia

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Physics
Mechanics
Classical mechanics

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Spectral Theorem Recap

Revisits the spectral theorem for symmetric matrices, emphasizing orthogonally diagonalizable properties and its equivalence with symmetric bilinear forms.

Rigid Body Dynamics: Moment of Inertia

Covers the dynamics of rigid bodies, focusing on the moment of inertia.

Moment of Inertia of a Solid

Covers the theory of moment of inertia of a solid and its applications.

Angular Momentum Theorem: Gyroscope Dynamics

Explores the angular momentum theorem in gyroscope dynamics and symmetrical motion.

Rigid Body Dynamics

Explores rigid body dynamics, including rotational motion, moments of inertia, and practical demonstrations with spinning objects.

Inertia Tensor and Rotational Dynamics

Explores inertia tensor, main axes of inertia, and rotational dynamics of solids, including Steiner's theorem and balancing techniques.

Gravitation and Energy: Effective Potential

Covers gravitational force, energy conservation, and effective potential energy in elliptical and parabolic paths.

Stresses due to Flexure

Explores normal stresses in beams, bending moments, neutral axis, and maximum stresses.

Rotation Dynamics: Moment of Inertia and Kinetic Energy

Explores rotation dynamics, moment of inertia, and kinetic energy in solid bodies rotating around a fixed axis.

Trajectory Determination in Mechanics

Explains trajectory determination in mechanics, including types of trajectories and effective potential, with practical examples.