Statics: Balancing beam of unknown length

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SUMMARY

The discussion focuses on solving a statics problem involving a horizontal meter stick with a mass of 217 g and three weights positioned at specific locations. The weights are 265 g at 40.7 cm, 191 g at 75.9 cm, and 195 g at 99.3 cm. To find the balance point, the net torque and net force must equal zero, utilizing the equation for center of mass. The initial confusion regarding the length of the meter stick was clarified, confirming it is indeed 1 meter long.

PREREQUISITES
  • Understanding of torque and equilibrium conditions in statics
  • Familiarity with the center of mass calculation
  • Knowledge of force balance equations (ƩF=0)
  • Basic principles of weight distribution on beams
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  • Study the principles of torque in static systems
  • Learn how to apply the center of mass formula in various scenarios
  • Explore examples of balancing beams with multiple weights
  • Investigate the effects of changing weight positions on balance
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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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