Gravitational field of a hemisphere

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SUMMARY

The gravitational field at the center of a hemisphere has been accurately calculated. The discussion confirms that the calculations align with established physics principles. The gravitational field strength, denoted as g, is derived from the mass distribution of the hemisphere. This conclusion is supported by theoretical frameworks and mathematical validation presented in the attached file.

PREREQUISITES
  • Understanding of gravitational fields in physics
  • Familiarity with calculus and integration techniques
  • Knowledge of mass distribution concepts
  • Basic principles of classical mechanics
NEXT STEPS
  • Research the derivation of gravitational fields for different geometric shapes
  • Explore advanced topics in gravitational potential theory
  • Study numerical methods for calculating gravitational fields
  • Learn about applications of gravitational fields in astrophysics
USEFUL FOR

Physics students, researchers in gravitational studies, and anyone interested in the applications of gravitational field calculations in various scientific fields.

brotherbobby
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Please see the attached file if I have calculated the gravitational field g at the centre of a hemisphere correctly.

hemisphere.png
 
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That's correct.
 
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