The Physics of Dance - University of Illinois High Energy Physics ...

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Static Balance We all know what it means... in physics terms: • Net force is zero (otherwise your momentum would change: you might fall) • Net torque is zero (otherwise your angular momentum would change: you might tip over) v ! v ! 1 kg 1 kg 1 kg 1 kg 1 kg equal masses, equal distances to center of gravity unequal masses, unequal distances to center of gravity 12
Center of gravity Just like you'd think. You can balance around this point. Reason for the name: net effect of gravity on an object (a dancer) is the same as if it were only acting at the c.g., and not on all parts of the object. v ! v ! 13
Page 1 and 2: The Physics of Dance George Gollin,
Page 3 and 4: How’d we get ourselves into this?
Page 5 and 6: Force changes momentum • The hard
Page 7 and 8: More Physics Vocabulary • Angular
Page 9 and 10: Still More Physics Vocabulary • C
Page 11: About torque... Torque changes angu
Page 15 and 16: More complicated example v ! v ! Fo
Page 17 and 18: Staying Balanced Smaller floor cont
Page 19 and 20: Balance While Turning Not all posit
Page 21 and 22: Reminders: The Physics of Turns !
Page 23 and 24: Calculating Rotational Inertia I "
Page 25 and 26: " Increasing I Decreases Spin Rate
Page 27 and 28: The Physics of Jumps Gravitational
Page 29 and 30: The Physics of Jumps The equivalenc
Page 31 and 32: Gravitational acceleration... …is
Page 33 and 34: Trajectory in a Jump Height vs. tim
Page 35 and 36: Illusions in a Jump By raising his/
Page 37 and 38: Half the duration of the jump is sp
Page 39 and 40: With More Time... Time permitting,

The Physics of Dance - University of Illinois High Energy Physics ...

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