Home KINEMATICS NEET 2020 Previous year Questions FIND THE TORQUE ABOUT THE ORIGIN WHEN A FORCE OF 3j ̂ N ACTS ON A PARTICLE WHOSE POSITION VECTOR IS 2k ̂ M .

FIND THE TORQUE ABOUT THE ORIGIN WHEN A FORCE OF 3j ̂ N ACTS ON A PARTICLE WHOSE POSITION VECTOR IS 2k ̂ M .

[NEET - 2020]

\[(a) 6\widehat{i} Nm\]

\[(b) 6\widehat{j} Nm\]

\[(c) -6\widehat{i} Nm\]

\[(d) 6\widehat{k} Nm\]

Solution:

\[\overrightarrow{\tau}=\overrightarrow{r}\times \overrightarrow{F}\]

\[\overrightarrow{\tau}=2\widehat{k}\times 3\widehat{j}\]

\[\overrightarrow{\tau}=\begin{vmatrix} \widehat{i} & \widehat{j} &\widehat{k} \\ 0 &0 &2 \\ 0 & 3 &0 \end{vmatrix}\]

\[\overrightarrow{\tau}=\widehat{i}(0-6)+ \widehat{j}(0-0) +\widehat{k}(0-0)\]

THE TORQUE ABOUT THE ORIGIN IS

\[\overrightarrow{\tau}=-6\widehat{i}\]

Milan Tomic

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