Part of JME-04 — Rotational Motion & Moment of Inertia

Energy Distribution in Rolling

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For a body rolling without slipping with KEtotalKE_{total} = \frac{1}{2}$$Mv^2(1 + k2k^2/R2R^2):

Bodyk2k^2/R2R^2KEtransKE_{trans}/KEtotalKE_{total}KErotKE_{rot}/KEtotalKE_{total}
Solid sphere2/55/72/7
Solid cylinder1/22/31/3
Hollow sphere2/33/52/5
Ring11/21/2

These fractions are universal — they do not depend on speed, incline angle, or mass.

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