How Do You Calculate the Center of Mass for Irregular Objects?

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SUMMARY

The discussion focuses on calculating the center of mass for irregular objects using the formula (r1m1 + r2m2 + ...)/(m1 + m2 + ...). Participants suggest dividing the object into manageable sections, such as rectangles, to simplify the calculation. The use of a grid system, where each square represents one unit, is confirmed as an acceptable method. However, clarity on the y-axis coordinate is emphasized as a potential source of confusion.

PREREQUISITES
  • Understanding of center of mass calculations
  • Familiarity with basic geometry and grid systems
  • Knowledge of mass distribution concepts
  • Ability to perform arithmetic operations with coordinates
NEXT STEPS
  • Research methods for calculating center of mass for composite shapes
  • Explore the implications of mass distribution on center of mass
  • Learn about coordinate systems and their applications in physics
  • Investigate software tools for visualizing center of mass in irregular objects
USEFUL FOR

Students in physics or engineering, educators teaching mechanics, and anyone involved in the study of mass distribution in irregular shapes.

kthejohnster
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Homework Statement


find center of mass

Screen Shot 2011-10-30 at 12.57.22 PM.png


Homework Equations


(r1m1+r2m2+...)/m1+m2+...

The Attempt at a Solution



cut into two pieces with one center at 2,5 and one 3,2. used each square on grid as one unit is that okay?
 
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Using the rectangles of the grid as one unit is ok. The y-axis coordinate is a little confusing.
 

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