Statics: Balancing beam of unknown length

AI Thread Summary
To determine the balance point of a horizontal meter stick with weights, the total torque and net force must equal zero. The weights are positioned at specific distances, and their respective masses contribute to the overall torque calculation. The center of mass formula can be applied to find the location where the stick would balance. The discussion highlights the importance of understanding torque and force equilibrium in solving statics problems. The user expresses uncertainty about the approach but acknowledges a correction regarding the meter stick's length.
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Homework Statement


A horizontal meter stick has a mass of 217 g. Three weights ride on the meter stick: 265 g at 40.7 cm, 191 g at 75.9 cm, and 195 g at 99.3 cm. At what location on the meter stick would the system be in balance if it were suspended there?

Homework Equations


ƩF=0
Ʃτ=0
Center of mass (x-dimension) = (M1X1 +M2X2...)/(M1+M2...)

The Attempt at a Solution


I know that in order for the system to balance the torque on the system as well as the net force must both equal zero. I have just begun this section and I am not really sure how to approach this problem. Thank you for your time.
 
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Your post topic says "Statics: Balancing beam of unknown length".
The problem statement says, "A horizontal meter stick ..."

I don't know how long your meter stick is, but all of mine are 1 meter long.
 
You were correct. That was a simple mistake, thank you for the help.
 
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