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A force of vecF = (4hati-3hatj+5hatk)N i...

A force of `vecF = (4hati-3hatj+5hatk)N` is applied at a point whose position vector is `vec r = (7hati+4hatj-2hatk)m`. Find the torque of force about the origin.

Text Solution

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`vecr = 7hati+4hatj-2hatk`
`vecF = 4hati-3hatj+5hatk`
Torque, `vec tau vecr xx vecF`
`vectau=|(hati,hatj,hatk),(7,4,-2),(4,-3,5)|`
`vectau = hati(20-6)-hatj(35+8)+hatk(21-16)`
`vectau = (14hati-43hatj-37hatk) N m`.
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