Surface tension_another problem

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SUMMARY

The discussion centers on the behavior of a small spherical ball of mass 'm' floating on a liquid surface due to surface tension, with a specific focus on the contact angle theta. It explores the relationship between surface tension and buoyancy, questioning whether buoyant force can be neglected in this scenario. The participants seek to determine the fraction of the ball submerged in the liquid and clarify the role of buoyancy in the context of surface tension effects.

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  • Understanding of surface tension principles
  • Knowledge of buoyancy and Archimedes' principle
  • Familiarity with contact angles in fluid mechanics
  • Basic physics of spherical objects in fluids
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  • Research the mathematical models for calculating buoyancy in fluids
  • Study the effects of surface tension on floating objects
  • Explore the relationship between contact angle and fluid displacement
  • Investigate the properties of elastic membranes in fluid dynamics
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Students and professionals in physics, fluid mechanics researchers, and engineers working on applications involving surface tension and buoyancy in liquids.

i_island0
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Suppose that there is a small spherical ball of mass 'm' floating on surface of a liquid due to surface tension. The contact angle between ball and liquid is theta. Is there any way to calculate exactly as what fraction of ball will be inside the fluid. Buoyancy should not be neglect.
 
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i shall rephrase my question.
A small spherical ball is floating in liquid layer due to surface tension. Thus it depresses the liquid layer as if it is an elastic membrane. So shall we say that buoyant force doesn't act on it?
 

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