- #1
Ludwig
- 7
- 0
I'm trying to derive a general work function (provided force and displacement vector-valued functions). Below are my best guesses. Can someone let me know whether these are valid?
Rigid-System:
## \sum W = \int \left ( \sum \vec{F}(t)\cdot \vec{r}\,'(t) \right ) dt ##
Deformable-system (n-forces):
## \sum W = \sum_{k=0}^{n} \left (\int ( \vec{F}_{k}(t)\cdot \vec{r}\,'(t)\,) dt \right) ##
Rigid-System:
## \sum W = \int \left ( \sum \vec{F}(t)\cdot \vec{r}\,'(t) \right ) dt ##
Deformable-system (n-forces):
## \sum W = \sum_{k=0}^{n} \left (\int ( \vec{F}_{k}(t)\cdot \vec{r}\,'(t)\,) dt \right) ##