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Let a force F be acting on a body free t...

Let a force F be acting on a body free to rotate about a point O and let r be the position vector of any point P on the line of action of the force. Then torque `(tau)` of this force about point O is defined as ` tau = rxxF` Given, `F = (2hati + 3hatj - hatk)N and r = (hati- hatj+6hatk)m`. Find the torque of this force.

Text Solution

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`tau = rxxF = |(hat i,hatj, hatk),(1,-1,6),(2,3,-1)|`
`= hati(1-18)+hatj(12 +1) +hatk(3+2)`
or `tau = (-17hati+13hatj+5hatk) N-m.`
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