Concept Overview: Rotational Motion

Rotational motion extends classical mechanics to rigid bodies spinning about a fixed or moving axis. Every translational quantity has a rotational analogue:

Translational	Rotational
Mass $m$	Moment of inertia $I$
Velocity $v$	Angular velocity $\omega$
Acceleration $a$	Angular acceleration $\alpha$
Force $F$	Torque $\tau$
Momentum $p = mv$	Angular momentum $L = I\omega$
$KE = \frac{1}{2}mv^2$	$KE = \frac{1}{2}I\omega^2$
$W = Fd$	$W = \tau\theta$
$P = Fv$	$P = \tau\omega$

The core equation: $\tau_{net} = I\alpha = dL/dt$ (Newton's 2nd law for rotation).

Key Rule: When the net external torque is zero, angular momentum is conserved: $I\omega = \text{constant}$ .

NEET Focus: Every question on rotational motion falls into one of four areas: (1) standard moment of inertia values, (2) parallel/perpendicular axis theorem, (3) rolling race on incline, (4) angular momentum conservation. Master these four areas completely.