Where is the Center of Mass Located in a System of Two Unequal Rods?

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SUMMARY

The center of mass for a system of two unequal rods, each measuring 17 inches, is determined by their respective weights. In this scenario, one rod weighs twice as much as the other. The correct calculation shows that the center of mass is located 2/3 of the way down from the thinner end of the heavier rod. This conclusion is based on the principles of balancing moments and the distribution of mass along the rods.

PREREQUISITES
  • Understanding of basic physics concepts, particularly center of mass
  • Familiarity with the principles of moments and torque
  • Knowledge of mass distribution in physical systems
  • Ability to perform calculations involving ratios and proportions
NEXT STEPS
  • Study the concept of center of mass in more complex systems
  • Learn about torque and its application in static equilibrium
  • Explore examples of mass distribution in various physical objects
  • Investigate the effects of varying weights on the center of mass in different configurations
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Students of physics, engineers, and anyone interested in understanding the mechanics of systems involving multiple objects with varying weights.

schaafde
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Given the picture in the attachment of two rods touching with them each being 17 inches long and one weighing double the weight of the other, would it make sense that the center of mass is 2/3 of the way down the picture from the thinner end? Or, am I going about this idea the wrong way?
 

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Don't just guess! And please show some work.
 

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