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Find the torque about the origin when a ...

Find the torque about the origin when a force of `3 hatj` N acts on a particle whose position vector is `2 hatk` m

A

`6hat(i) Nm`

B

`6 hat(j) Nm`

C

`-6 hat(i) Nm`

D

`6 hat(k) Nm`

Text Solution

Verified by Experts

The correct Answer is:
C
`vec(F)= 3 hat(j) N, vec(r)= 2 hat(k)`
`vec(tau) = vec(r) xx vec(F) = 2hat(k) xx 3hat(j) = 6(hat(k) xx hat(j))`
`= 6(- hat(i))`
`vec(tau)= - 6 hat(i) Nm`
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