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a particle of mass m is going with velocity v vector along a line y = x + 5 find the angular momentum of the particle about a perpendicular axis passing through origin O.

Asked by patidargiriraj9 | 31 Dec, 2023, 21:12: PM
Let us consider the particle of mass m is moving along the line y = x +5 .
Let its speed be v .
When the particle is at P(x,y) , its angular momentum is given as
........................(1)
where is position vector of point P,
is linear momentum , θ is angle between position vector
and momentum vector and is unit vector along z-axis .
θ = 45o - α [ because slope of line y = x+5 is 1 or tan45 . Hence APB = 45o ]
By substituting sinθ in eqn.(1) , we get
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