A body of mass 5 kg moving with a uniform speed 3 2 m s - 1 in X - Y plane along the line y = x + 4 . The…

A body of mass 5 kg moving with a uniform speed 32 m s-1 in X-Y plane along the line y=x+4. The angular momentum of the particle about the origin will be _______kg m2 s-1.

Solution

Equation of line given: y-x-4=0.

Let d1 be the perpendicular distance of given line from origin.

d1=-412+12=22

So, |L|=mvd1=5×32×22 kg m2 s-1

=60 kg m2 s-1

Asked in: JEE Main 2024 (29 Jan Shift 2)

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