How Is Angular Momentum Calculated in Particle Motion?

[thehiggsboson]

Homework Statement

A 1.47kg particle moves in the xy plane with a velocity of v = (4.59i - 3.28j)m/s. Determine the magnitude of the particle's angular momentum when its position vector is r = (1.35i + 2.57j)m.

Homework Equations

p = mv

L = r x p (the x is supposed to be a cross product and not a variable)

L = r x mv

The Attempt at a Solution

First I scaled the velocity vector: v = (4.59i - 3.28j)m/s by the mass, 1.47 kg, to get a new momentum vector (6.75i - 4.82j)kg*m/s.

Then I took the cross product of the r vector with the new momentum vector:
(1.35i + 2.57j)m x (6.75i - 4.82j)kg*m/s (I let a=1.35, b=2.57, c=0, d=6.75, e=-4.82, and f=0, the got the k vector cross product by doing k=ae-bd)

The answer I got was -23.9 kg*m^2/s, which wasn't right.

What did I do wrong? Am I even anywhere near the correct solution/answer?

 

[gneill]

Homework Statement

A 1.47kg particle moves in the xy plane with a velocity of v = (4.59i - 3.28j)m/s. Determine the magnitude of the particle's angular momentum when its position vector is r = (1.35i + 2.57j)m.

Homework Equations

p = mv

L = r x p (the x is supposed to be a cross product and not a variable)

L = r x mv

The Attempt at a Solution

First I scaled the velocity vector: v = (4.59i - 3.28j)m/s by the mass, 1.47 kg, to get a new momentum vector (6.75i - 4.82j)kg*m/s.

Then I took the cross product of the r vector with the new momentum vector:
(1.35i + 2.57j)m x (6.75i - 4.82j)kg*m/s (I let a=1.35, b=2.57, c=0, d=6.75, e=-4.82, and f=0, the got the k vector cross product by doing k=ae-bd)

The answer I got was -23.9 kg*m^2/s, which wasn't right.

What did I do wrong? Am I even anywhere near the correct solution/answer?

Did you specify the direction of the angular momentum? (It's a pseudo-vector, so it has a magnitude and direction).

 

[thehiggsboson]

I didn't, but I just went back and tried it and it picked up the k as being part of the unit. So, it's not that, I don't think. The question also just asks for magnitude.

 

[gneill]

I didn't, but I just went back and tried it and it picked up the k as being part of the unit. So, it's not that, I don't think. The question also just asks for magnitude.

Okay, just the magnitude. What answer did you type in for that?

 

[thehiggsboson]

-23.9 kg*m^2/s

 

[gneill]

Are magnitudes ever negative?

 

[thehiggsboson]

Nope. Wow, I feel a little stupid now. Thanks!

 

[gneill]

Nope. Wow, I feel a little stupid now. Thanks!

Heh. We've all been there, done that, got the T-shirt. Cheers.