Explain rotational analogue of the force. On what factors does it depend? Represent it in vector form.

1. Rotational analogue of the force is called as moment of force or torque.

2. It depends on the mass of the object, the point of application of the force and the angle between direction of force and the line joining the axis of rotation with the point of application.

3. In its mathematical form, torque or moment of a force is given by \(\overrightarrow{\tau}=\overrightarrow{r}\times\overrightarrow{F}\)

where \(\overrightarrow{F}\) is the applied force and \(\overrightarrow{r}\) is the position vector of the point of application of the force from the axis of rotation.