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| author | Prefetch | 2021-07-04 20:02:27 +0200 |
|---|---|---|
| committer | Prefetch | 2021-07-04 20:02:27 +0200 |
| commit | e5f44d97c6652f262c82b5c796c07a7a22a00e90 (patch) | |
| tree | 18a5508b981a0bbbbb1937dc75a72c756cf405f7 /content/know/concept/lagrangian-mechanics/index.pdc | |
| parent | 805718880c936d778c99fe0d5cfdb238342a83c7 (diff) | |
Expand knowledge base
Diffstat (limited to 'content/know/concept/lagrangian-mechanics/index.pdc')
| -rw-r--r-- | content/know/concept/lagrangian-mechanics/index.pdc | 6 |
1 files changed, 5 insertions, 1 deletions
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 |