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Center of Mass

Center of Mass. The Center of Mass (CM) of an object or objects is the point that moves as if all of the mass were concentrated there and all the external forces were applied there. For a symmetrical object of uniform density it is the geometric center of the object. Weaker Gravity.

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Center of Mass

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  1. Center of Mass The Center of Mass (CM) of an object or objects is the point that moves as if all of the mass were concentrated there and all the external forces were applied there. For a symmetrical object of uniform density it is the geometric center of the object. Weaker Gravity The velocity of the center of mass of a system of objects is the total momentum divided by the total mass. CM The Center of Gravity (CG) is at the point where the weight above equals the weight below. This is effectively the same place as the CM CG If you account for the force of gravity weakening with altitude, the CG would be slightly below the CM. Stronger Gravity

  2. Finding CM of a System of 2 Objects x2 xCM m1 m2 m1g m2g

  3. Finding CM of a System of n Objects x2 xCM m1 m2 m1g x1 m2g What if there were 3 masses? What if there were n masses? Where M is the total mass

  4. Find xCM and yCM of 3 Particles Find xCM and ycm for the system of 3 particles shown below. M1 = 3kg, M2 = 5kg, M3 = 8kg If gravity acted sideways we could derive the same result for the y axis:

  5. Center of Mass and Statics Problems A meter stick is balanced on a fulcrum placed at the 85 cm mark by a 0.5 kg mass hanging at the 97 cm mark. Find the mass of the meter stick. m = ? 0.5 kg N 0.35 m 0.12 m + mg Mg

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