- #1
amjadmuhd
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Please help me in derivation of the cetre of mass of truncated sphere
Centre of mass of truncated sphere
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SUMMARY
The discussion focuses on the derivation of the center of mass of a truncated sphere. Participants suggest dividing the truncated sphere into infinitesimally thin discs of height dz to simplify the calculation. The mass of each disc can be determined using the volume and density of the sphere. This method allows for a systematic approach to finding the center of mass through integration.
PREREQUISITES- Understanding of calculus, specifically integration techniques.
- Familiarity with the concept of center of mass in physics.
- Knowledge of volume and density calculations for solids.
- Basic principles of geometry related to spheres and discs.
- Study the method of integration for finding the center of mass in three-dimensional shapes.
- Explore the derivation of the volume of a sphere and its truncated sections.
- Learn about the application of density in calculating mass for varying shapes.
- Investigate similar problems involving the center of mass of composite bodies.
Students and professionals in physics, engineering, and mathematics who are interested in mechanics and the properties of geometric shapes.
- #2
tiny-tim
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amjadmuhd said:
Hint: divide the truncated sphere into discs of height dz … what is the mass of each disc?
- #3
arildno
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He has already been given the answer to this question in a previous thread
https://www.physicsforums.com/showthread.php?t=305272
https://www.physicsforums.com/showthread.php?t=305272
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