(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Two particles move in opposite directions along a straight line. Particle 1 of mass m1 = 23 kg at x1 = 16 m moves with a speed v1 = 34 m/s (to the right), while the particle 2 of mass m2 = 64 kg at x2 = −25 m moves with a speed v2 = −43 m/s (to the left). Given: Counter-clockwise is the positive angular direction.

1)What is the total angular momentum of the system about the z-axis relative to point A along y axis if d1 = 13 m? Answer in units of kgm2/s.

2) What is the total angular momentum of the system about the z-axis relative to point B along y axis if d2 = 22 m? Answer in units of kgm2/s.

m1 = 23

Position1 = {16 i, 0 j, 0 k}

v1 = {34 i, 0 j, 0 k}

m2 = 64

Pos2 = {-25 i , 0 j, 0 k}

v2 = {-43 i, 0 j, 0 k}

d1 = {0 i, -13 j, 0 k}

d2 = {0 i, 22 j, 0 k}

2. Relevant equations

L = Position [tex]\times[/tex] m v

3. The attempt at a solution

I got number 1 correct, and number 2 should be the same. however just changing d1 to d2 does not give the correct answer.

1)

{16, 0 , 0} + {0, -13, 0} = {16, -13, 0}

{-25 , 0, 0}+ {0, -13, 0} = {-25, -13, 0}

{16, -13, 0} [tex]\times[/tex] (23 {34 , 0 , 0 }) +

{-25, -13, 0} [tex]\times[/tex] (64 {-43 , 0 , 0 }) = {0, 0, -25610} = 25610 k

2) should be the same but I get {0, 0, 43340} which is incorrect

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# Angular Momentum of a system of particles relative to another point

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