How Does the Position of G Change in Different Types of Pendulum Bobs?

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SUMMARY

The discussion focuses on how the position of gravitational acceleration (g) changes in different types of pendulum bobs: a solid sphere, a hollow sphere, and a half-filled sphere. It is established that the center of mass varies based on the bob's configuration, affecting the pendulum's dynamics. Specifically, the solid sphere has its center of mass at its geometric center, while the hollow sphere's center of mass is also at its center, but the distribution of mass affects its moment of inertia. The half-filled sphere presents a unique case where the center of mass shifts depending on the liquid's distribution within the bob.

PREREQUISITES
  • Understanding of basic physics concepts such as gravity and center of mass
  • Familiarity with pendulum mechanics and dynamics
  • Knowledge of solid and hollow body properties
  • Basic understanding of fluid dynamics in relation to mass distribution
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  • Explore the dynamics of pendulums with varying bob configurations
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Students studying physics, educators teaching mechanics, and anyone interested in the dynamics of pendulum systems and gravitational effects on different mass configurations.

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Homework Statement



how will the position of g incase of a simple pendulum change in the following 3 cases
1.the bob being a hollow sphere
2.half filled with liquid
3. normal sphere.

Homework Equations





The Attempt at a Solution

 
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What is g? Typically it is acceleration due to gravity, but that doesn't seem to suit this question..
 
in the 3 cases i.e.
1.solid sphere
2.hollow sphere
3.a sphere half filled with some liquid
where will the center of mass be situated and the spheres are assumed to be made of same material
 

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