Find the torque about the origin when a force of acts on a particle whose position vector is . [2020]

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Solution

Q.
Find the torque about the origin when a force of $3 \hat{j}$ $N$ acts on a particle whose position vector is $2 \hat{k}$ $m$ . [2020]

1 $6 \hat{i}$ $Nm$

2 $6 \hat{j} Nm$

3 $- 6 \hat{i} Nm$

4 $6 \hat{k} Nm$

Ans.
(3)

Here, $\vec{F} = 3 \hat{j} N,$ $\vec{r} = 2 \hat{k} m$

Torque, $\vec{τ} = \vec{r} \times \vec{F} = 2 \hat{k} \times 3 \hat{j} = - 6 \hat{i} Nm$

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