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A force of (2 hati - 4 hatj + 2 hatk )N ...

A force of `(2 hati - 4 hatj + 2 hatk )`N act a point `(3 hati+2 hatj -4 hatk)` metre form the origin. The magnitude of torque is

A

Zero

B

24.4 N-m

C

0.244 N-m

D

2.444 N-m

Text Solution

Verified by Experts

The correct Answer is:
B
`vecF=(2hati-4hatj+2hatk)Nandvecr=(3hati+2-4hatk)` meter
Torque `vectau=vecrxxvecF=|(hati,hatj,hatk),(3,2,-4),(2,-4,2)|impliesvectau=-12hati-14hatj-16hatkand|vectau|=sqrt((-12)^(2)+(-14)^(2)+(-16)^(2))=24.4N-m`
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