Mechanics with vectors, derivatives and integrals. 1. 1

## Newton's Laws of Motion

Newton's laws of motion describe the fundamental principles of how objects behave in response to forces. These laws explain the relationship between forces, mass, and acceleration.

2. 2

## (Hollow) Cylinder - Moment of Inertia

Derivation of the moment of inertia of a homogeneous hollow cylinder and a solid cylinder rotating around its axis of symmetry.

Questions & Answers How to Calculate the Moment of Inertia of a Rigid Body? How to Calculate Moment of Inertia when the Axis of Rotation does not Pass Through the Center of Mass?
Related formulas

3. 3

## Euler-Lagrange Equation and How to Use it in 5 Easy Steps

Here you will learn what the Euler-Lagrange equation is good for and how to apply it to concrete problems (for example, a thrown particle).

Derivations & Experiments

## Euler-Lagrange Equation in 13 Steps

Here you learn the derivation of the Euler-Lagrange equation, which a function q(t) must satisfy for a functional S[q] to become stationary.

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