A force F=(2hati+3hatj-hatk)N is acting ...

A force `F=(2hati+3hatj-hatk)N` is acting on a body at a position `r=(6hati-3hatj-2hatk)`. Calculate the torque about the origin

A

`(3hati+2hatj+12hatk)Nm`

B

`(9hati+2hatj+7hatk)Nm`

C

`(hati+2hatj+12hatk)Nm`

D

`(3hati+12hatj+hatk)Nm`

Text Solution

Verified by Experts

(a) `tau=rxxF=|(hati, hatj, hatk),(6,3,-2),(2,3,-1)|`
`=hati(-3+6)-hatj(-6+4)_hatk(18-6)`
`=tau=(3hati+2hatj+12hatk)Nm`

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