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A particle of mass 5 units is moving wit...

A particle of mass 5 units is moving with a uniform speed of `v = 3 sqrt(2)` units in the XOY plane along the line y = x + 4. Find the magnitude of angular momentum.

Text Solution

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Given =5 units
Speed `=v=3 sqrt(2)` units
`y=x+4`
Angular momentum `=L=m(vecr xx vecv)`
`=m(xhati+y hatj)xx (vhati+vhatj)=m[xv hatk-vyhatk-v(x+4)hatk]`
`L=-mv hatk=-4xx5xx3sqrt(2)hatk=-60 sqrt(2)hatk`
`L=60 sqrt(2)` units.
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