Consider a rigid body capable of rotating about the *z-*axis through *O.* Let a force
act on the body in the *xy* -plane at some point *P *whose position vector with respect to *O *is
. If *d* is the perpendicular distance of the line of action of the force from the axis, then the torque acting on the body due to this force is defined as

= Fd = Fr sin q

Torque is also called the moment of force and it is a measure of the *turning effect* of force about the given axis. The same force produces a larger turning effect, if its line of action is farther from the axis. Torque is actually a vector quantity having magnitude *rF *sinq and having direction along the axis of rotation. In vector notation, it is written as

Torque is *rotational analogue of force*. A rigid body is a system of particles in which the distances between the particles are fixed.

**Basic equation of Rotation**

The relation t = *I*a is the fundamental equation of rotation. It is the exact counterpart of the equation *F = ma* in linear motion. An unbalanced torque is necessary to give a body an angular acceleration just as an unbalanced force is required to give a body a linear acceleration. The quantities t, *I* and a play similar roles in angular motion as *F*, *m* and a play in translatory motion. Therefore for rotational motion we use

t = *I*a

- Rotational Kinetic Energy
- Angular Momentum
- Relation Between The Torque And Angular Momentum
- Law Of Conservation Of Angular Momentum
- Angular Impulse
- Work Done By A Torque
- Power

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