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An 18 kg mass is placed st one end of a steel bar that is 1 m long. A 35 kg mass is placed at the other end. Where should the fulcrum be placed to balance the bar?

  • math - ,

    mass x distance on one side = mass x distance on the other side

    let the distance be x m from the heavier mass
    35x = 18(1-x)
    35x = 18 - 18x
    53x = 18
    x = 18/53 = .3396

    the fulcrum should be appr 34 cm from the heavier load.

    check:
    34(35) = 1190
    66(18) = 1188 , close enough for 2 digit accuracy.

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