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

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Gravity Only Influences Vertical (Not Horizontal) Motion Velocity of a dancer’s center of gravity vs. time during a jump: vertical velocity take off going up coming down time land v ! horizontal velocity time Dancer’s vertical motion slows, stops, changes direction as dancer rises, then falls. 32
Trajectory in a Jump Height vs. time is a parabola; horizontal distance vs. time is a straight line: vertical position going up coming down time v ! horizontal position time 33
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 and 12: About torque... Torque changes angu
Page 13 and 14: Center of gravity Just like you'd t
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: Gravitational acceleration... …is
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,

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