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Mastering Center of Mass: Essential Walking Guide

Learn how to find and utilize your center of mass to walk effectively with step-by-step instructions. Understand definitions, examples, and applications to enhance your understanding.

melvin-lester
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Mastering Center of Mass: Essential Walking Guide

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  1. Center of Mass

  2. How To Walk • Write Step-by-step (no pun intended) instructions for someone to follow so that they may walk.

  3. Activities • Find your Center of Mass? • Get Out Of Chair? • Pick Up Chair? • Leg Lift? • Free Money? • Post It Flip?

  4. Definition • “The center of mass (or mass center) is the mean location of all the mass in a system” • Marked with:

  5. Examples • The center of mass of a two-particle system lies on the line connecting the particles (or, more precisely, their individual centers of mass). The center of mass is closer to the more massive object • The center of mass of a ring is at the center of the ring (in the air).

  6. More Examples • The center of mass of a solid triangle lies on all three medians and therefore at the centroid, which is also the average of the three vertices.

  7. Applications • Objects rotate around their center of mass • In a uniform gravitational field, the center of mass and center of gravity are the same. • A projectile’s center of mass will follow a parabolic path. • If an object’s center of mass is outside it’s base of support, it will topple. • An applied force that is not through an object’s center of mass will cause rotation.

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