First slide

Torque

Question

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

Moderate

A

$6 \hat{j} N - m$
B

$- 6 \hat{i} N - m$
C

$6 \hat{k} N - m$
D

$6 \hat{i} N - m$

Solution

Given, position vector, $r = 2 \hat{k} m$
Force, $F = 3 \hat{j} N$
As, torque, $τ = r \times F = 2 \hat{k} \times 3 \hat{j} = 6 (- \hat{i}) = - 6 \hat{i} N - m$

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