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-rw-r--r--content/know/concept/lagrangian-mechanics/index.pdc6
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diff --git a/content/know/concept/lagrangian-mechanics/index.pdc b/content/know/concept/lagrangian-mechanics/index.pdc
index 24e1f93..dcf555b 100644
--- a/content/know/concept/lagrangian-mechanics/index.pdc
+++ b/content/know/concept/lagrangian-mechanics/index.pdc
@@ -4,6 +4,7 @@ firstLetter: "L"
publishDate: 2021-07-01
categories:
- Physics
+- Classical mechanics
date: 2021-07-01T18:44:43+02:00
draft: false
@@ -16,7 +17,10 @@ markup: pandoc
which is equivalent to Newton's laws,
but offers some advantages.
Its mathematical backbone is the
-[calculus of variations](/know/concept/calculus-of-variations/).
+[calculus of variations](/know/concept/calculus-of-variations/),
+and hence it is built on the **principle of least action**,
+which states that the path taken by a system
+will be a minimum of the **action** (i.e. energy cost) of that path.
For a moving object with position $x(t)$ and velocity $\dot{x}(t)$,
we define the Lagrangian $L$ as the difference