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.

A particle of mass 5 units is moving with a uniform speed of v = 3 sqr

1.	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.
Answer» Solution :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.