How to use this calculator
Enter the force’s magnitude and direction, then the x and y distances from the point O to where the force is applied.
Formulas
Moment about OMO = xFy − yFx (counterclockwise positive)
Moment armMO = Fd d = |MO|F
Worked example
200 N at 60°, applied 0.4 m right and 0.1 m up from O (the default)
- Fx = 200 cos 60° = 100 N; Fy = 200 sin 60° = 173.2 N.
- MO = 0.4 × 173.2 − 0.1 × 100 = 59.3 N·m counterclockwise.
- d = 59.3/200 = 0.296 m.
Frequently asked questions
Why can I split the force into components?
Varignon’s theorem: the moment of a force equals the sum of the moments of its components about the same point.
What sign convention is used?
Counterclockwise is positive, the standard right-hand rule with z pointing out of the page.