Where to Place Weight for Balance on a Hanging Structure?

[campa]

Hi

If there is a triangular hard base (but light in weight) which is hanging from three wires.Two of these wires are made from copper and the other is made out of iron. If some weight is kept on top of the base and the wires stretch, how do you find the place where you have to keep the same weight to keep the whole structure balanced?

 

[Adrian Baker]

How about using the Young's Modulus of the materials to work it out?

Modulus = Stress/Strain


Stress = Force/cross sectional area
Strain = Extension/original length

You should be able to obtain all the data you need to calculate the relative extension of each wire. If you want to keep this constant, you can work out the force required on each wire, and hence where to put the weight.

 

[thepatientmental]

To find the place where the weight needs to be kept to maintain balance, you would need to use a balancing scale or a level. Place the base with the weight and stretched wires on one side of the scale or level and slowly move the weight to different points on the other side until the scale or level is balanced. This will indicate the exact point where the weight needs to be kept to maintain balance. Alternatively, you can also use a plumb line or a weighted string to find the vertical line where the weight needs to be placed. This will ensure that the weight is evenly distributed and the structure remains balanced.