Question

The relative difference between “polar” and “mean” values of this quantity defines the dynamical ellipticity. A 2-to-2-to-1 ratio of components of this quantity characterizes the Kovalevskaya top. (10[1])In Poinsot’s construction, an ellipsoid (10[1])named for this quantity rolls without slipping (-5[1])on the invariable plane. A body with three distinct values of this quantity (10[2])only has stable (10[1])motion about the first (10[1])and third “principal” types of a certain construct. The fact that this quantity equals the integral of “r-squared dm” is used to prove that a displacement (10[1])d changes this quantity by a factor of “m plus d-squared” in the parallel axis theorem. An analogue of Newton’s (10[1])second law states that net torque equals this quantity times angular acceleration. For 10 points, name this rotational analogue of mass. ■END■ (10[1])

ANSWER: moment of inertia [accept polar moment of inertia or second moment of area or mean moment of inertia; prompt on I or MOI]
<Physics>
= Average correct buzz position

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Buzzes

PlayerTeamOpponentBuzz PositionValue
Coby TranUChicago CUIUC B2610
Jeremy CummingsWashU BIndiana A3110
Ishaan SinghPurdue BUIUC C38-5
Michael HundingUIUC APurdue A5110
Ethan MaUIUC DPurdue D5110
William HoustonUChicago BUChicago A5410
Matt SchiavoneNorthwestern APurdue C5810
Emmett ChoUChicago DMiami8410
Sam HewittWashU CWashU D10410
Gabe DubowskiUIUC CPurdue B12610

Summary

2024 ACF Winter at Clemson2024-11-16Y7100%0%14%78.57
2024 ACF Winter at Lehigh2024-11-16Y786%0%29%72.83
2024 ACF Winter at Northwestern2024-11-16Y9100%0%11%65.00
2024 ACF Winter at Ohio State2024-11-16Y7100%0%0%71.86
2024 ACF Winter at UBC2024-11-16Y3100%0%0%62.00