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| Both sides previous revision Previous revision Next revision | Previous revision | ||
| 183_notes:examples:a_rod_rotating_not_around_its_center [2014/11/05 22:08] – pwirving | 183_notes:examples:a_rod_rotating_not_around_its_center [2014/11/06 02:32] (current) – pwirving | ||
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| $K_{rot} = \frac{1}{2}I_{CM}\omega^{2}$ | $K_{rot} = \frac{1}{2}I_{CM}\omega^{2}$ | ||
| + | |||
| + | $I = (\frac{1}{12})ML^{2}$ for a thin rod | ||
| === Solution === | === Solution === | ||
| Line 48: | Line 50: | ||
| $K_{tot} = \frac{1}{2}(Mr^{2}_{CM} + I_{CM})\omega^{2}$ | $K_{tot} = \frac{1}{2}(Mr^{2}_{CM} + I_{CM})\omega^{2}$ | ||
| + | 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}\; | ||