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 quantity rolls without slipping on the invariable plane. A body with three distinct values of this quantity (10[1])only has stable motion about the first and third (10[1])“principal” types of a certain construct. The fact that this quantity equals (10[1])the integral of “r-squared dm” (10[1])is (10[1])used to prove (10[1])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■

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
Aditya Patnaik (DII)Ohio State B (DII)CWRU C (UG)5110
Yahwanth Bajji (DII)Michigan APitt B (UG)6010
MitchelMichigan BPitt A7210
Calvin Bostleman (UG)Ohio State A (UG)Kenyon A (UG)7710
Jason Thieu (DII)Michigan State B (UG)Michigan D (DII)7810
Owen Brown (DII)Kenyon B (DII)Michigan State C (UG)8110
Peter Zeng (DII)Ohio State C (DII)CWRU D (DII)8410

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