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# lec13 - L ECTURE 13 F LEXIBLE BODIES AND R OTATIONAL D...

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L ECTURE 13: F LEXIBLE BODIES AND R OTATIONAL D YNAMICS Center of gravity (center of mass) Rotational inertia (moment of inertia) Rotational dynamics

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For translational motion and calculating torques, the mass of a ruler acts as if it were concentrated at a single point Hewitt
The center of mass isn’t necessarily where there is any real mass Hay/Hewitt

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A flexible body can adjust the position of its center of mass Hay
Even if the motion looks complicated, the center of mass of the projectile follows a parabolic trajectory Hewitt

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The reach is higher even though the center of mass is not Hay
In high jump, the hips are higher than the cg Hay.

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How does a ballerina manage to have her head float at the same height for a long time when she performs a grand jete ? 1) When a ballerina performs a grand jete, she has to push the floor hard in order to get enough height, because height determines the hang time.
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lec13 - L ECTURE 13 F LEXIBLE BODIES AND R OTATIONAL D...

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