posted by jane .
a 60 kg object is attached to one end of a 40 kg steel tube 2.4 m long. what is the distance from the loaded end to the balance?
I don't know what "to the balance" means. Do you mean the fulcum to the load?
summing moments about the "one end"
up forces at the fulcrum 100kg
summing moments about the end.
40(2.4/2)+60x-100y=0 where x is the distance from the end to the load, and y is the distance from the end to the fulcrum.
summing moments about the fulcrum:
40(1.2-y)=60(y-x) draw the picture to see that.
so you now have two equations, two unknowns, solve for x