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.

Explanation

Equation of line x - y + 4 = 0
Mass of particle = 5 units
Speed `v = 3 sqrt(2)` units
Distance of line from origin `r = (0-0+4)/(sqrt(1^(2) + 1^(2))) = (4)/(sqrt(2))`
Angel momentum `L = mvr = 5 xx 3 sqrt(2) xx (4)/(sqrt(2)) = 60` units