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Conservation of Angular Momentum (view source)
Revision as of 20:33, December 13, 2016
, 20:33, December 13, 2016Maths formatting
:<math>\mathbf{L_i}=\mathbf{L_f}</math>
:<math>\mathbf{L_i}=\mathbf{L_f}</math>
:<math>\mathbf{m}\times{v}\times{l}= \mathbf{I}\times{\omega}</math>
:<math>mvl= I \omega</math>
Thus
Thus
and thus the solution is:
and thus the solution is:
:<math>\mathbf{cos\theta} = 1 - \frac{{6m^2}{h}}{l\times{(2m+M)(3m+M)}}</math>
:<math>cos\theta = 1 - \frac{{6m^2}{h}}{l(2m+M)(3m+M)}</math>
or
or
:<math>\mathbf{\theta} = arccos(1 - \frac{{6m^2}{h}}{l\times{(2m+M)(3m+M)}})</math>
:<math>\theta = \arccos{\bigg( 1 - \frac{{6m^2}{h}}{l(2m+M)(3m+M)} \bigg)}</math>
[[Category:Physics]]
[[Category:Physics]]
[[Category:Mechanics]]
[[Category:Mechanics]]