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

A force of `-Fveck` acts on O, the origin of the coordinate 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

Torque `vectau=vecrxxvecF=(hati-hatj)xx(-Fhatk)`
`=F[-hatixxhatk+hatjxxhatk]=F(hatj+hati)=F(hati+hatj)`
[Since `hatkxxhati=hatjandhatjxxhatk=hati`]
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