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 construction, an ellipsoid named for this (-5[1])quantity rolls without slipping on the invariable plane. A body with three distinct values of this quantity (10[1])only has stable motion about (10[1])the first and third (10[2])“principal” types of a certain construct. The fact that this quantity equals the integral of “r-squared dm” (-5[1])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 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
Geoffrey WuColumbia ABard A34-5
Teigue KellyPenn State ARowan A5110
Danny HanPenn AJohns Hopkins A5610
Ethan FurmanHaverford ALehigh A6010
Maximilian NieburJohns Hopkins BPenn State B6010
Patrick Rivas-GiorgiColumbia BPenn B77-5
Mark TawfikRutgers CRutgers A8410
Srikar VenkatesanPenn BColumbia 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