physics

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An 3730 kg airplane has a center of mass located 32 m from the front of the plane. A 123 kg man sits 25 m from the front of the plane. Where should a 76 kg woman sit so that the center of mass of the loaded plane is the same as the empty airplane? (m from front)

  • physics -

    Take moments about the centre of gravity (CG) the plane, so that the CG of the two persons is zero about the C from the front.

    F........M...7...CG....X....W.......B

    Take moments about the CG:
    123 kg *7 m= 76 kg * X m
    X = (123/76) * 7
    = 11.33m (from the CG)

    Distance from the front
    =32+11.33 m
    = 43.33 m from the front

  • physics -

    Thanks a lot

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