diff --git a/config/en/mkdocs.yaml b/config/en/mkdocs.yaml index 2772fb9..ef58daf 100755 --- a/config/en/mkdocs.yaml +++ b/config/en/mkdocs.yaml @@ -175,9 +175,6 @@ nav: - 'Lagrangian formalism': physics/classical-mechanics/lagrangian-mechanics/lagrangian-formalism.md - 'Lagrange equations': physics/classical-mechanics/lagrangian-mechanics/lagrange-equations.md - 'Lagrange generalizations': physics/classical-mechanics/lagrangian-mechanics/lagrange-generalizations.md - - 'Applications': - - 'Celestial mechanics': physics/classical-mechanics/lagrangian-mechanics/applications/celestial-mechanics.md - - 'Oscillations': physics/classical-mechanics/lagrangian-mechanics/applications/oscillations.md - 'Hamiltonian mechanics': - 'Hamiltonian formalism': physics/classical-mechanics/hamiltonian-mechanics/hamiltonian-formalism.md - 'Equations of Hamilton': physics/classical-mechanics/hamiltonian-mechanics/equations-of-hamilton.md @@ -187,7 +184,7 @@ nav: - 'Kerr geometry': physics/relativistic-mechanics/kerr-geometry.md - 'Wave geometry': physics/relativistic-mechanics/wave-geometry.md # - 'Quantum mechanics': -# - 'Statistical mechanics' +# - 'Statistical mechanics': - 'Electromagnetism': # - 'Electrostatics': # - 'Magnetostatics': diff --git a/config/nl/mkdocs.yaml b/config/nl/mkdocs.yaml index f280975..7e46125 100755 --- a/config/nl/mkdocs.yaml +++ b/config/nl/mkdocs.yaml @@ -1,4 +1,4 @@ -site_name: Mijn aantekeningen +site_name: Wiskunde en natuurkunde wiki docs_dir: '../../docs/nl' theme: diff --git a/docs/en/physics/classical-mechanics/lagrangian-mechanics/applications/celestial-mechanics.md b/docs/en/physics/classical-mechanics/lagrangian-mechanics/applications/celestial-mechanics.md deleted file mode 100644 index 60828c0..0000000 --- a/docs/en/physics/classical-mechanics/lagrangian-mechanics/applications/celestial-mechanics.md +++ /dev/null @@ -1 +0,0 @@ -# Celestial mechanics \ No newline at end of file diff --git a/docs/en/physics/classical-mechanics/lagrangian-mechanics/applications/oscillations.md b/docs/en/physics/classical-mechanics/lagrangian-mechanics/applications/oscillations.md deleted file mode 100644 index 0443df6..0000000 --- a/docs/en/physics/classical-mechanics/lagrangian-mechanics/applications/oscillations.md +++ /dev/null @@ -1 +0,0 @@ -# Oscillations \ No newline at end of file diff --git a/docs/en/physics/classical-mechanics/newtonian-mechanics/momentum.md b/docs/en/physics/classical-mechanics/newtonian-mechanics/momentum.md index f5a208a..f09ea27 100644 --- a/docs/en/physics/classical-mechanics/newtonian-mechanics/momentum.md +++ b/docs/en/physics/classical-mechanics/newtonian-mechanics/momentum.md @@ -1 +1,30 @@ -# Momentum \ No newline at end of file +# Momentum + +> *Definition 1*: the **momentum** $\mathbf{p}$ of a particle is defined as the product of the mass and velocity of the particle +> +> $$ +> \mathbf{p} = m \mathbf{v}, +> $$ +> +> with $m$ the mass of the particle and $\mathbf{v}$ the velocity of the particle. + +For the case that $\mathbf{v}: t \to \mathbf{v}(t) \implies \mathbf{v}'(t) = \mathbf{a}(t)$ we have the following theorem. + +> *Theorem 1*: let $\mathbf{v}$, $\mathbf{a}$ be the velocity and acceleration of a particle respectively, if we have +> +> $$ +> \mathbf{v}: t \to \mathbf{v}(t) \implies \forall t \in \mathbb{R}: \mathbf{v}'(t) = \mathbf{a}(t), +> $$ +> +> then +> +> $$ +> \mathbf{p}'(t) = \mathbf{F}(t), +> $$ +> +> for all $t \in \mathbb{R}$. + +??? note "*Proof*:" + + Will be added later. +