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Packet B: Bonus 6

The partial derivatives of this quantity with respect to q and q-dot appear in a second-order PDE co-named for Euler. For 10 points each:
[10e] Name this quantity defined as kinetic energy minus potential energy, which is used in a formulation of classical mechanics contrasted with Hamiltonian mechanics.
ANSWER: Lagrangian [accept Lagrangian mechanics]
[10m] The variable q in the definition of the Lagrangian is a generalized one of these quantities. These quantities are called “cyclic” or “ignorable” if they correspond to a constant of motion.
ANSWER: coordinates [accept generalized coordinates or cyclic coordinates]
[10h] In a system with cyclic coordinates, the equations of motion can be solved using a method named for this physicist, which defines a new quantity from the Lagrangian and Hamiltonian. With Hurwitz, this physicist names a stability criterion for control systems.
ANSWER: Edward Routh (“rao’th”) [or Edward John Routh; accept Routh’s method or Routhian mechanics; accept Routh–Hurwitz criterion]
<Virginia Tech A, Physics> | Packet-B_Harvard-A_UNC-B_Virginia-Tech_Waterloo-A_Yale

HeardPPBE %M %H %
4912.2478%39%6%

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Conversion

TeamOpponentPart 1Part 2Part 3TotalParts
Carnegie Mellon AOhio State B1010020EM
Case Western BMichigan State100010E
KenyonMichigan C0000
Michigan AMichigan B1010020EM
Michigan DCase Western A0000
Ohio State ACarnegie Mellon B100010E

Summary

TournamentEditionMatchHeardPPBE %M %H %
California2025-02-01✓316.67100%33%33%
Florida2025-02-01✓310.0033%33%33%
Great Lakes2025-02-01✓610.0067%33%0%
North2025-02-01✓313.33100%33%0%
Overflow2025-02-01✓510.0060%20%20%
Pacific Northwest2025-02-01✓25.0050%0%0%
South Central2025-02-01✓220.00100%100%0%
Southeast2025-02-01✓45.0050%0%0%
UK2025-02-01✓1014.00100%40%0%
Upper Mid-Atlantic2025-02-01✓816.2588%75%0%
Upstate NY2025-02-01✓310.0067%33%0%