### Torque

#### The principle of the lever -- a simple teeter-totter

An object that rotates about a fixed point or about an axis because of a force being applied to it has torque.

Torque is proportional to the applied force and to the perpendicular distance at which this force acts from the given point or axis.

- Objects in static equilibrium must satisfy the condition that all forces acting on its center of mass must add up (vectorially) to zero.
- This condition makes sure that all forces that are pulling or pushing the object from one side to the other are balanced.
- There is also another condition that must be met so that the object is in true static equilibrium.
- All torques acting on the center of mass of the object must add up to zero.
- This ensures that the object does not undergo any rotation.

##### In summary:

**Conditions for static equilibrium:**

- The sum of all translational forces = zero
- The sum of all rotational forces = zero

Solutions to Static Equilibrium Problems

1.

**Solution:**

From the Free Body Diagram:

(Taking torques about point A)