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A force of -Fhatk acts on O, the origin ...

A force of `-Fhatk` acts on O, the origin of the coodinate system. The torque about the point (1,-1) is

A

`F(hati-hatj)`

B

`-F(hati-hatj)`

C

`F(hati+hatj)`

D

`-F(hati+hatj)`

Text Solution

Verified by Experts

The correct Answer is:
C
`"Force "vecF=-F hatk`
`"For the point "(1, -1), vecr=hati-hatj`
`therefore" Torque "vec(tau)=vecr xx vecF`
`=|(hati,hatj,hatk),(1,-1,0),(0,0,-F)|`
`=hatiF-hatj(-F)=F(hati+hatj)`
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