Q.

Find the torque about the origin when a force of 3j^ N acts on the particle whose position vector is 2k^m.

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a

6j^N-m

b

-6i^N-m

c

6k^N-m

d

6i^N-m

answer is B.

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Detailed Solution

Given, position vector,  r=2k^mForce,  F=3j^NAs, torque,  τ=r×F=2k^×3j^=6(-i^)=-6i^N-m
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Find the torque about the origin when a force of 3j^ N acts on the particle whose position vector is 2k^m.