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. In Poinsot’s (10[1])construction, an ellipsoid named for this quantity rolls without slipping on the invariable plane. A body with three distinct values of this quantity only has stable motion about (10[1])the first 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 d changes this quantity by a factor of “m plus d-squared” in the parallel axis theorem. An analogue (10[1])of Newton’s second law states that net torque equals this quantity times angular acceleration. For 10 points, name this rotational analogue of mass. ■END■

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

Back to tossups

Buzzes

PlayerTeamOpponentBuzz PositionValue
Kevin YeSFUUW A2810
Matthew Wang (UG)UBC AUW B5610
Anne Fjeld (DII)AlbertaUBC B10210

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