Expansion of a Circular Loop with Perpendicular Forces

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SUMMARY

The discussion centers on the behavior of a circular loop subjected to perpendicular forces applied at all points along its circumference. Despite the net force being zero at the center of the loop, the edges experience expansion due to the differential distribution of forces. This phenomenon occurs because the forces at the edges do not cancel out completely, leading to an expansion of the loop even in the absence of work being performed on it.

PREREQUISITES
  • Understanding of basic physics concepts, particularly forces and equilibrium.
  • Familiarity with circular motion and properties of circles.
  • Knowledge of force vectors and their applications in two-dimensional systems.
  • Basic grasp of material properties related to elasticity and deformation.
NEXT STEPS
  • Explore the principles of static equilibrium in circular structures.
  • Research the effects of applied forces on elastic materials.
  • Learn about the mathematical modeling of forces in two-dimensional systems.
  • Investigate the relationship between force distribution and material expansion.
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Physics students, engineers, and material scientists interested in the mechanics of circular structures and the effects of applied forces on material behavior.

sArGe99
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Consider a circular loop. If I were to apply forces at all points on the loop such that the forces are perpendicular to it and in the same plane as the loop, the net force experienced by the loop equals zero. But it expands. The loop expands even when no work is being done on it. How can it be explained?
 
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perhaps because it is only at the CENTER of the circle where the net force is 0, and not the edges, which are the ones expanding..
 

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