Angular momentum about an origin (O,O,O)

AI Thread Summary
To calculate the angular momentum of a particle about the origin O=(0,0,0), the relevant equations are L = r x p and L = mvr. The particle's trajectory for (a) is linear with constant velocity, while for (b) it describes circular motion in the xy-plane with a linear component in the z-direction. The user is uncertain about the vector representation of momentum (p) and how to incorporate mass into the calculations. Assistance is requested to clarify these concepts and solve the problem effectively. Understanding these principles is crucial for accurate computation of angular momentum in different trajectories.
Tui
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Homework Statement



Calculate the angular momentum about the origin O=(0,0,0) of a particle of mass m moving
along the following two trajectories:

(a) x(t)=vt y(t)=b z(t)=0
(b) x(t)=Rcos(wt) y(t)= Rsin(wt) z(t)=vt

Homework Equations


L = r x p
L = mvr


The Attempt at a Solution



I wasn't really sure to begin. I thought maybe I could do
L= m(vxr)
L=m ( (mv,0,0)x(vt...) Not sure what the vector equation for P is and also not sure what to do about the mass

Please help!
 
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Any help is GREATLY appreciated D: Kinda urgent
 
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