Where Is the Center of Mass in a Right Triangle?

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SUMMARY

The center of mass for a right triangle formed by a uniform wire of 60 cm length and 60 g mass is calculated using the coordinates of its vertices. The vertices are defined as point A (0,0), point B (24,0), and point C (0,10). The computed center of mass is located at (8, 3.33), confirming the accuracy of the calculations presented in the forum discussion.

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  • Understanding of basic geometry, specifically right triangles
  • Knowledge of center of mass calculations
  • Familiarity with coordinate systems
  • Basic algebra for averaging coordinates
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  • Study the concept of center of mass in two-dimensional shapes
  • Explore the properties of right triangles in geometry
  • Learn about uniform mass distribution in physical objects
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Students studying physics or geometry, educators teaching center of mass concepts, and anyone interested in the practical applications of geometric principles.

preluderacer
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Homework Statement



In the figure, a 60 cm length of uniform wire, of 60 g mass, is bent into a right triangle. The x- and y-coordinates of the center of mass, in cm, are closest to... I am going to explain the picture in my textbook.

The origin is at (0,0). It goes up 10 cm and to the right 24cm. The hyp is 26 cm


The Attempt at a Solution



What I did was get the points of a,b and c of each corner. Then I calculated average at each point. a = (0,0) b = (24,0) c= (0,10). In the x direction I got (0+24+0)/3 = 8 and the y direction I got (0+0+10)/3 = 3.33. So the center of mass is at (8,3.33). Does this look right?
 
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Yes, it is correct.

ehild
 

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