Difference between revisions of "Momentum Components in the XY Plane Based on Angle Phi"

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=Momentum Components in the XY Plane Based on Angle Phi=
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Checking on the sign from the cosine results for <math>\phi '_2</math>
 
Checking on the sign from the cosine results for <math>\phi '_2</math>
  

Revision as of 22:16, 15 June 2017

[math]\textbf{\underline{Navigation}}[/math]

[math]\vartriangleleft [/math] [math]\triangle [/math] [math]\vartriangleright [/math]


Momentum Components in the XY Plane Based on Angle Phi

Checking on the sign from the cosine results for [math]\phi '_2[/math]


We have the limiting range that [math]\phi[/math] must fall within:

[math]-\pi \le \phi '_2 \le \pi\ Radians[/math]
Xy plane.png

Examining the signs of the components which make up the angle [math]\phi[/math] in the 4 quadrants which make up the xy plane:

[math]For\ 0 \ge \phi '_2 \ge \frac{-\pi}{2}\ Radians[/math]
px=POSITIVE
py=NEGATIVE
[math]For\ 0 \le \phi '_2 \le \frac{\pi}{2}\ Radians[/math]
px=POSITIVE
py=POSITIVE
[math]For\ \frac{-\pi}{2} \ge \phi '_2 \ge -\pi\ Radians[/math]
px=NEGATIVE
py=NEGATIVE
[math]For\ \frac{\pi}{2} \le \phi '_2 \le \pi\ Radians[/math]
px=NEGATIVE
py=POSITIVE
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