Understanding Center of Gravity: A Closer Look at Objects and their Balance

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SUMMARY

The center of gravity (CG) of an object is not always located within its physical interior. For instance, a kite can have its CG outside its material boundaries, depending on factors such as tail length and weight distribution. The discussion highlights that the CG is determined by the object's geometry and mass distribution, illustrated through examples like a triangular structure formed by rigid rods. A mathematical approach, involving integration, is necessary to accurately calculate the CG of complex shapes.

PREREQUISITES
  • Understanding of basic physics concepts related to balance and stability
  • Familiarity with geometric shapes and their properties
  • Knowledge of mass distribution and its effects on center of gravity
  • Basic calculus, specifically integration techniques
NEXT STEPS
  • Research the mathematical formulas for calculating center of gravity using integration
  • Explore the impact of mass distribution on the stability of various objects
  • Study examples of irregular shapes and their center of gravity calculations
  • Learn about practical applications of center of gravity in engineering and design
USEFUL FOR

Students of physics, engineers, designers, and anyone interested in understanding the principles of balance and stability in objects.

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[SOLVED] center of gravity ..

hi. i was wondering , is the center of gravity of an object always located in the interior of the object?
i think its not because for example, kite has a center of gravity outside its interior of itself right? please correct me and explain to me why this happens.. I am confused :?
 
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I guess it depends on how you define interior. If by interior you mean where there is physical material, then the answer is no. Example - imagine an object consisting of three rigid rods connecting to be a triangle, with equal masses at each corner (think tinker toys). The cg is at the centroid of the triangle (in mid air). If you consider the interior to include the surface of the triangle, then the cg is in the interior. In the case of a kite, I think it depends on how long the tail is and how much it weighs.

Don't know if there is an easy answer why or why not. There is a mathemical formula (involving integration) to determine the cg of an object. The location of the cg is entirely dependent on the geometry of the object and the distribution of mass.
 

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