1.

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

Answer»

`4hati+4hatj`
`4hati+4hatk`
`-4hati+4hatj`
`-4hati-4hatj`

Solution :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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