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A faorce F=5hati+2hatj-5hatk acts on par...

A faorce `F=5hati+2hatj-5hatk` acts on particles whose position vector is `r=vecj-2vecj+veck.` What is the torque about the origin ?

A

`8hati+10hatj+12hatk`

B

`8hati+10htj-12hatk`

C

`8hati-10hatj-8hatk`

D

`10hati-10hatj-hatk`

Text Solution

Verified by Experts

The correct Answer is:
A
Torque `=tau=rxxF`
`=|{:(hati,hatj,hatk),(1,-2,1),(5,2,-5):}|`
`=hati(10-2)-hatj(-5-5)+hatk(2+10)=8hati+10hatj+12hatk`
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