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Given, vecomega=2hatkandvecr=2hati+2hatj...

Given, `vecomega=2hatkandvecr=2hati+2hatj`. Find the linear velocity.

A

`4hati+4hatj`

B

`4hati+4hatk`

C

`-4hati+4hatj`

D

`-4hati-4hatj`

Text Solution

Verified by Experts

The correct Answer is:
C
Linear velocity of body of rigid body at distance from the axis of body is :
`vecv=vecomegaxxvecr`
`therefore vecv=(2hatk)xx(2hati+2hatj)`
`=(2hatkxx2hati)+(2hatkxx2hatj)`
`=4hatj+(-4hatj)(because hatkxxhati=hatj,hatkxxhatj=-hati)`
`therefore vecv=-4hatixx4hatj`
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