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Anshula Nori
Asked: 2022-11-10T00:39:45+05:30 In:

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`

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`
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1 Answer

  1. (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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