Lesson 2 of 3

Moments and Torque

Learn how forces create rotation and how to calculate moments about a point.

What is a moment?

A moment (or torque) is the rotational effect of a force about a point. It depends on both the force and the perpendicular distance from the point to the line of action:

M = F · d

Where M is the moment, F is the force, and d is the perpendicular distance (the "moment arm").

Sign convention

Choose a consistent convention - commonly counterclockwise moments are positive, clockwise are negative. Stick with it throughout a problem.

Why moment arm matters

A small force with a long moment arm can produce a large moment. This is why a wrench handle is long, and why door handles are placed far from the hinge.

Example

A 50 N force applied 0.3 m from a pivot:

M = 50 N · 0.3 m = 15 N·m

Moments are the key to analyzing beams, levers, and any structure that resists rotation.