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Question
The torque of force F = `-3hat"i"+hat"j"+5hat"k"` acting on a point r = `7hat"i"+3hat"j"+hat"k"` about origin will be ______.
Options
`14hat"i"-38hat"j"+16hat"k"`
`4hat"i"+4hat"j"+6hat"k"`
`-14hat"i"+38hat"j"-16hat"k"`
`-21hat"i"+3hat"j"+5hat"k"`
MCQ
Fill in the Blanks
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Solution
The torque of force F = `-3hat"i"+hat"j"+5hat"k"` acting on a point r = `7hat"i"+3hat"j"+hat"k"` about origin will be `underlinebb(14hat"i"-38hat"j"+16hat"k")`.
Explanation:
Torque of the force, `tau` = r × F
`tau= |(hat"i",hat"j",hat"j"), (7,3,1),(-3,1,5)|`
= `(14hat"i"-38hat"j"+16hat"k")`
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