# Conservative and Non Conservative Forces

by saiaspire
Tags: conservative, forces
 HW Helper P: 2,279 If the force produces the same work regardless of its trajectory between two points then is conservative, if not the is non-conservative. This is usually represented by $$\oint \vec{F} \cdot \vec{ds} = 0$$
 HW Helper P: 2,279 What isn't clear? You have 2 points, and if you move a particle from A to B, by following different trajectories and you still get the same WORK, then the force is CONSERVATIVE. When the work is trajectory dependent the force is NON-CONSERVATIVE. Remember the formal definition of work is $$W = \int_{c} \vec{F} \cdot d \vec{r}$$ Work depends on the trajectory.