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physics! center of mass

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a long non uniform board of length 8 m and mass m = 12 kg is suspended by two ropes if the tensions in the ropes are mg/3 (on left) and 2mg/3 (on right) what is the location of the board's center of mass

thank you!

  • physics! center of mass -

    cg at x from left
    then cg is at (8-x) from right

    take moments about cg

    (mg/3) (x) = (2 mg/3 )(8-x)

    x = 16 - 2x
    3 x = 16
    x = 16/3

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