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rkemomi

# rkemomi - rotational mass or moment of inertia of the rigid...

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Rotational energy and mass Consider a rigid body rotating about a fixed axis of rotation. The kinetic energy is by definition, K ½ Σ i m i v i 2 . But we have already noted that the speed of the i th particle may be written in terms of the angular velocity of the body, v i = r i ϖ . Making this substitution in the above sum gives, K = ½ ϖ 2 Σ i m i r i 2 . The latter sum is by definition the

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Unformatted text preview: rotational mass or moment of inertia of the rigid body, I â‰¡ Î£ i m i r i âŠ¥ 2 (discrete system) I = âˆ« r âŠ¥ 2 dm (continuous system) Often I is found by the parallel-axis theorem . The kinetic energy is given the name rotational kinetic energy, K rot = Â½ I Ï– 2 . EXAMPLES[in class]...
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