diff --git a/docs/ce1/ece105.md b/docs/ce1/ece105.md index c974903..cd85880 100644 --- a/docs/ce1/ece105.md +++ b/docs/ce1/ece105.md @@ -194,3 +194,20 @@ $$ v_{cm} = \sqrt{\frac{2}{1+c}gh} \\ a_{cm} = \frac{g\sin\theta}{1+c} $$ + +## Statics + +An object at **static equilibrium** has no rotational or translational velocity with zero net force and torque. + +An object at **dynamic equilibrium** has a constant rotational and translational velocity with zero net force and torque. + +$$ +\sum\vec F = 0 \\ +\sum\vec\tau = 0 +$$ + +Whether an object *stays* at static equilibrium depends on the + +- It is at **unstable equilibrium** if the object moves away and does not return to equilibrium +- It is at **stable equilibrium** if the object returns to its original position and equilibrium +- It is **neutral** if the object does not move