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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:
B

Here, `overset rarr(F) =- F hatk`
`overset rarr(r ) = (hati - hatj)`
`overset rarr(tau) = overset rarr(r ) xx overset rarr(F) = (hati - hatj) xx (-F hatk)`
`-F (hati xx hatk - hatj xx hatk) = - F(-hatj - hati)`
`overset rarr(tau) = F (hati + hatj)`
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