How can I determine the centre of mass of a fork with varying thickness?

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SUMMARY

The discussion focuses on determining the center of mass of a fork with varying thickness. Participants suggest breaking the fork into simpler geometric shapes, such as rectangles and triangles, to facilitate calculations. The symmetry of the fork along one axis is noted as a beneficial factor in the analysis. Approximations, such as treating the top part of the fork as rectangular and the connecting part as an angled board, are recommended to simplify the problem-solving process.

PREREQUISITES
  • Understanding of basic geometry, including shapes like rectangles and triangles.
  • Familiarity with the concept of center of mass and its calculation.
  • Knowledge of symmetry in geometric objects.
  • Ability to apply approximations in mathematical modeling.
NEXT STEPS
  • Research methods for calculating the center of mass of composite shapes.
  • Learn about the principles of symmetry in physics and engineering.
  • Explore approximation techniques in mathematical modeling.
  • Study the application of calculus in determining center of mass for irregular shapes.
USEFUL FOR

Students in physics or engineering courses, educators teaching mechanics, and anyone involved in the design or analysis of objects with varying geometries.

wambam
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Homework Statement


Refer to attachments, this question is insane.


Homework Equations


Yet to determine how to break down the fork and which equations to apply


The Attempt at a Solution


I have tried to break down the fork into rectangles and triangles, any suggestions about how to approach this problem? The changing thickness allows poses some confusion for me!
 

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Hah, at least the fork has symmetry on one axis. I don't know, I imagine you can get away with a bunch of approximations. For example you could make the top part of the fork rectangular, and the connecting part like a board at an angle.
 

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