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Welcome to our Physics lesson on **Moment of Force as Analogue of Force in Translational World**, this is the first lesson of our suite of physics lessons covering the topic of **Dynamics of Rotational Motion**, you can find links to the other lessons within this tutorial and access additional physics learning resources below this lesson.

In our Physics tutorial "Moment of Force. Conditions of Equilibrium", we explained that moment of force (otherwise known as "turning effect of force") occurs when an object or system tends to rotate around a fixed point, which we called "pivot" or "turning point". Also, we explained that in a system, there are two possible conditions of equilibrium: one for the translational (linear) motion (resultant force must be zero) and the other for rotational motion (the resultant moment of force must be zero). From here, it is easy to conclude that the analogue quantity of force in rotational motion must be the moment of force, M*⃗*, which - like force in translational motion - is a quantity that determines the equilibrium of the system.

Moment of force is obtained by the cross product of distance from turning point, r*⃗* and the perpendicular force to the axis of rotation, F*⃗*.

Mathematically, we have

M*⃗* = r*⃗* × F*⃗*

We have also stated that the unit of moment of force is Newton × metre, [N × m].

If the system is moving, we use the concept of torque τ instead of that of moment of force M, i.e.

τ*⃗* = r*⃗* × F*⃗*

Moment of force was extensively discussed in tutorial "Moment of Force. Conditions of Equilibrium" and our Physics tutorial on "Torque", so there is no need to dwell too much on this concept here.

You have reached the end of Physics lesson **7.2.1 Moment of Force as Analogue of Force in Translational World**. There are 8 lessons in this physics tutorial covering **Dynamics of Rotational Motion**, you can access all the lessons from this tutorial below.

Enjoy the "Moment of Force as Analogue of Force in Translational World" physics lesson? People who liked the "Dynamics of Rotational Motion lesson found the following resources useful:

- Analogue Feedback. Helps other - Leave a rating for this analogue (see below)
- Rotation Physics tutorial: Dynamics of Rotational Motion. Read the Dynamics of Rotational Motion physics tutorial and build your physics knowledge of Rotation
- Rotation Revision Notes: Dynamics of Rotational Motion. Print the notes so you can revise the key points covered in the physics tutorial for Dynamics of Rotational Motion
- Rotation Practice Questions: Dynamics of Rotational Motion. Test and improve your knowledge of Dynamics of Rotational Motion with example questins and answers
- Check your calculations for Rotation questions with our excellent Rotation calculators which contain full equations and calculations clearly displayed line by line. See the Rotation Calculators by iCalculator™ below.
- Continuing learning rotation - read our next physics tutorial: Centripetal Force

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