Homework Help: math

Posted by Stacey on Tuesday, February 19, 2013 at 6:02pm.

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 - Reiny, Tuesday, February 19, 2013 at 7:09pm
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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