Packet 6: Tossup 20

Besides an inverse square force, a potential governing this process is the only one for which all bound (15[1])orbits are also closed by Bertrand’s theorem. (15[1])A nonlinear system named for this process was discovered by Balthasar Van der Pol. (15[1])This (15[2])process (15[1])is halted by a “critical” phenomenon (-5[1])in which systems named for (-5[1])this process (15[1])return to equilibrium (-5[1])immediately at zeta equals one. (-5[1])This process is described by the equation m (*) x double dot equals k x. (10[2]-5[2])External forces weaken this (-5[1])process (10[1]-5[1])through damping. (10[4])Using (10[2])the small-angle (10[2])approximation, (10[1])a system (10[1])named for this process can be used to model a pendulum. (10[2])For 10 points, Hooke’s (10[1])law describes (10[1])“simple harmonic” (10[1]-5[1])systems performing (-5[1])what process? (10[1])■END■ (10[11]0[1])

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