Énergie

Types

Sym. $K$

\begin{aligned} K & = \frac{1}{2} m v^{2} \\ K_{r o t} & = \frac{1}{2} I ω^{2} \end{aligned}

Sym. $U$

Énergie potentielle d'un ressort
Sym. $U_{r}$

Quand $l_{0} = l_{n}$ , $θ = 0$ et $x_{0} = 0$ :

\begin{aligned} U_{r} & = | | \vec{F} | | \cdot x \\ U_{r} & = \int_{0}^{x} k x^{'} \cdot d x^{'} \\ U_{r} & = k {[\frac{x^{' 2}}{2}]}_{0}^{x} \\ U_{r} & = \frac{1}{2} k x^{2} \end{aligned}

Sym. $U_{g}$

U_{g} = m g h

Last edited 25 days ago

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