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183_notes:examples:a_rod_rotating_not_around_its_center [2014/11/06 02:30] – pwirving | 183_notes:examples:a_rod_rotating_not_around_its_center [2014/11/06 02:32] (current) – pwirving | ||
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$K_{rot} = \frac{1}{2}I_{CM}\omega^{2}$ | $K_{rot} = \frac{1}{2}I_{CM}\omega^{2}$ | ||
- | $I = (\frac{1}{12})ML^{2}$ | + | $I = (\frac{1}{12})ML^{2}$ |
=== 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 as we are dealing with the inertia for a thin rod. | ||
$K_{tot} = \frac{1}{2}(Mr^{2}_{CM}\; | $K_{tot} = \frac{1}{2}(Mr^{2}_{CM}\; |