183_notes:examples:a_rod_rotating_not_around_its_center

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183_notes:examples:a_rod_rotating_not_around_its_center [2014/11/05 22:08] – pwirving183_notes:examples:a_rod_rotating_not_around_its_center [2014/11/06 02:31] – pwirving
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 $K_{rot} = \frac{1}{2}I_{CM}\omega^{2}$ $K_{rot} = \frac{1}{2}I_{CM}\omega^{2}$
 +
 +$I = (\frac{1}{12})ML^{2}$
  
 === Solution === === Solution ===
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 $K_{tot} = \frac{1}{2}(Mr^{2}_{CM} + I_{CM})\omega^{2}$ $K_{tot} = \frac{1}{2}(Mr^{2}_{CM} + I_{CM})\omega^{2}$
  
 +Substitute in $(\frac{1}{12})ML^{2}$ for L
  
 $K_{tot} = \frac{1}{2}(Mr^{2}_{CM}\;+\;\frac{1}{12}ML^{2})\omega^{2}$ $K_{tot} = \frac{1}{2}(Mr^{2}_{CM}\;+\;\frac{1}{12}ML^{2})\omega^{2}$
  • 183_notes/examples/a_rod_rotating_not_around_its_center.txt
  • Last modified: 2014/11/06 02:32
  • by pwirving