Question

For rotational motion , the newton's second law of motion is indicated by :-

• A. ${\omega }_2^2={\omega }_1^2+2\alpha \theta$
• B. $\overrightarrow{F}=\frac{\overrightarrow{dp}}{dt}$
• C. $\overrightarrow{\tau }=\frac{\overrightarrow{dL}}{dt}$
• D. ${\overrightarrow{F}}_{12}={\overrightarrow{F}}_{21}$

Answer 1

The correct option is C $\overrightarrow{\tau }=\frac{\overrightarrow{dL}}{dt}$

The relationship between the net external torque and the angular acceleration is of the same form as Newton's second law and is sometimes called Newton's second law for rotation$.$

It is not as general a relationship as the linear one because the moment of inertia is not strictly quantity$.$

So$,$ $\overrightarrow{\tau }=\frac{\overrightarrow{dL}}{dt}$

Hence,

option $\left(C\right)$ is correct answer.