Lectures related to Mini-Segway: Design and Control

Introduction to Structural Mechanics: Written Correction

Covers exercises related to displacement, internal loads, symmetry, and virtual displacements.

Live Written Correction: Centroids and Distributed Forces

Covers live written corrections for exercises on centroids and distributed forces in structural mechanics.

Discusses internal load diagrams, equilibrium of forces, and symmetry in structures.

Explores center of mass calculation in mechanics, emphasizing system symmetry and spherical coordinates for simplifying calculations.

Advanced Physics I: Variable Mass Systems

Covers variable mass systems, center of mass, and rotation concepts in advanced physics.

Inertia Tensor: Main Axes and Principal Moments

Explains the inertia tensor, main axes, principal moments, and balancing of rotating solids.

Mechanics: Symmetric Haltere and Center of Mass

Covers the mechanics of a symmetric haltere and the importance of center of mass calculation.

Symmetry in the Plane

Explores the modern definition of symmetry and its practical applications.

Rotation Dynamics: Symmetry and Gyroscopic Effects

Explores rotation dynamics, symmetry, and gyroscopic effects in physics.

Center of Gravity: Theory and Applications

Explores the theory and applications of the center of gravity in physics, including the calculation of moments, couple forces, and mechanical advantage in levers.

Symmetry in Modern Geometry

Delves into modern geometry, covering transformations, isometries, and symmetries.

Symmetry: Noether Theorem

Explores the consequences of symmetry, focusing on the Noether Theorem and coordinated charges in Lie groups.

Static Analysis: Modeling Structural Behavior

Covers static analysis and the importance of accurate structural modeling in engineering.

Global Conservation Laws

Explores the dynamical consequences of symmetry, emphasizing conservation laws and the role of Noether currents.

Advanced Physics I

Covers velocity, acceleration, dynamics, moments of inertia, and kinetic energy storage systems.

Symmetry & Group Theory

Covers the fundamental concepts of symmetry and group theory.

Bisectrix: Symmetry and Angles

Explores the concept of bisectrix in angles and its symmetries.

Symmetry and Group Theory: Exercise Set 3

Covers Exercise Set 3 on Symmetry and Group Theory, focusing on chiral molecules, point groups, conjugacy, and group properties.

Wigner Theorem; Translation Symmetry

Explores the Wigner theorem, translation symmetry, eigenstates, and wave functions in quantum physics.

Equilibrium in Tension: Verification and Compatibility

Covers the verification of equilibrium equations and compatibility in tension scenarios, ensuring uniform stress distribution.