Rigid Body Dynamics | JEE Main | Torque Vector Question

JEE MAIN 2025

22-01-2025 SHIFT-2

Question

The torque due to the force $(2 \hat{i}+\hat{j}+2 \hat{k})$ about the origin, acting on a particle whose position vector is $(\hat{i}+\hat{j}+\hat{k})$, would be

Select the correct option:

$\hat{i}+\hat{k}$

$\hat{j}+\hat{k}$

$\hat{i}-\hat{k}$

$\hat{i}-\hat{j}+\hat{k}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

$\vec{\tau}=\overrightarrow{\mathrm{r}} \times \overrightarrow{\mathrm{F}}=\left|\begin{array}{ccc}\hat{\mathrm{i}} & \hat{\mathrm{j}} & \hat{\mathrm{k}} \\ 1 & 1 & 1 \\ 2 & 1 & 2\end{array}\right|=\hat{\mathrm{i}}-0 \hat{\mathrm{j}}-\hat{\mathrm{k}}$

Question Tags

JEE Main

Physics

Easy

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