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Concept

Euler's equations (rigid body dynamics)

Related lectures (27)

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Kinematics and Dynamics of Rigid Bodies

Explores inertia tensor, Euler equations, and angular momentum in rigid bodies.

Uncertainty Quantification for Coarse-Grained Molecular Dynamics

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Solid Application: Rotating Bar

Covers the falling of a bar and a physical pendulum, discussing forces, pivot points, equations of motion, and numerical resolution.

Rigid Body Dynamics and Gyroscopes

Explores moments of inertia, energy of rigid bodies, gyroscopes, and unbalanced wheels.

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Covers the dynamics of rigid bodies, focusing on the general case of a solid rolling without slipping.

Vertical Movement: Equations and Integration MOOC: Mechanics: Change of Reference Frame and Relativity

Explores equations of vertical movement under gravity and their integration, as well as horizontal movement with stress conditions and the Foucault pendulum heuristic.

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Explores Nosé-Hoover thermostats, time averages, equations of motion, and variable transformations.

Angular Momentum Theorem: Dynamics of Solid Log in to Mediaspace to watch this video

Explores the angular momentum theorem and dynamics of solids with fixed axes, including the physical pendulum and vector components of angular momentum.

System of Forces: 2D and 3D Log in to Mediaspace to watch this video

Covers the classification of forces, resultant, and systems of forces in 2D and 3D.

Static Determinacy II Log in to Mediaspace to watch this video

Explores statical determinacy, constraints, and rigid body motion analysis in structures.

Introduction to Structural Mechanics: Systems of Forces Log in to Mediaspace to watch this video

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Rolling and Review Log in to Mediaspace to watch this video

Covers pure rotation, rolling without slipping, and converting reference frames in physics.

Rigid Body Rotation Log in to Mediaspace to watch this video

Covers rigid body rotation, moment of inertia, torque, and angular velocity.

Undeformable Solid Body: Kinematics and Dynamics Log in to Mediaspace to watch this video

Explores the kinematics and dynamics of undeformable solid bodies, focusing on total angular momentum and gyroscopic effects.

Physics 1: Inertia Tensor Calculation Log in to Mediaspace to watch this video

Covers the calculation of the inertia tensor for a thin ring, with examples demonstrating the process.

Dynamics of Rigid Bodies Log in to Mediaspace to watch this video

Covers the description of motion of solid systems and dynamics of rigid bodies.

Rigid Bodies Summary Log in to Mediaspace to watch this video

Covers the definition of rigid bodies, equations of motion, moments of inertia, and energy kinetic.

Rigid Body Dynamics: Angular Momentum Log in to Mediaspace to watch this video

Covers the concept of angular momentum for a rigid body in rotation.

Rigid Body Dynamics: Moment of Inertia Log in to Mediaspace to watch this video

Explores rigid body dynamics, angular momentum, moment of inertia calculation, and energy of rotation.