Which of the following equations expresses Newton’s second law for rotational motion

PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

Which of the following equations expresses Newton’s second law for rotational motion, relating the net torque

\sum \tau

, the rotational inertia

I

, and the angular acceleration

\alpha

of a rigid body? (a)

\sum \tau = \dfrac{1}{2}\,I\,\alpha

(b)

\sum \tau = I\,\omega^{2}

(c)

\sum \tau = I\,\alpha

(d)

\sum \tau = \dfrac{I\,\alpha}{2\pi}