Question #159720

Determine the angular momentum of a 72-gg particle about the origin of coordinates when the particle is at xxx = 5.0 mm , yyy = -5.8 mm , and it has velocity υ=(3.1i^−8.2k^)m/sυ=(3.1i^−8.2k^)m/s.Find the xx-component.


1
Expert's answer
2021-01-29T15:45:38-0500

L=[r,p]=m[r,v]=\overrightarrow{L}=[\overrightarrow{r},\overrightarrow{p}]=m[\overrightarrow{r},\overrightarrow{v}]=


=0.072[(0.005i0.0058j),(3.1i8.2k)]==0.072\cdot[(0.005\overrightarrow{i}-0.0058\overrightarrow{j}),(3.1\overrightarrow{i}-8.2\overrightarrow{k})]=


=0.0034i+0.0029j+0.0013k=0.0034\overrightarrow{i}+0.0029\overrightarrow{j}+0.0013\overrightarrow{k} . Answer


Lx=0.0034 (kgm2/s)L_x=0.0034\ (kg\cdot m^2/s) . Answer








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