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From Ordinate 2D ✓
Script
Moment of inertia from rolling times
A disc, a thick ring, a thin hoop and a sliding block race down equal slopes; k = g sin θ t²/2L − 1 gives each one's I/mr².
Slipping, then Rolling
A disc and a hoop are thrown along the floor without spinning: both slide at first, friction slows the centre and spins the body up until v = ωR, then both roll steadily at v₀/(1 + k): ⅔ v₀ for the disc, a little over half for the hoop.
Slipping, then Rolling
A disc and a hoop are thrown along the floor without spinning: both slide at first, friction slows the centre and spins the body up until v = ωR, then both roll steadily at v₀/(1 + k): ⅔ v₀ for the disc, a little over half for the hoop.
From the community
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