SolutionSolve for θ in "Two Particles Suspended by String

Thread starter engineer eman
Start date Sep 29, 2007

AI Thread Summary

To solve for the angle θ that each string makes with the vertical for two charged particles suspended by strings, the relationship is established using the equation tan^3(θ) / (1 + tan^2(θ)) = (q^2 / (16πm g L^2)). The forces acting on the particles include gravitational force and the electrostatic force due to their charges. The equilibrium conditions lead to the derivation of the equation, which balances the forces in both vertical and horizontal directions. The problem requires applying trigonometric identities and understanding the forces involved in the system. This analysis is crucial for determining the angle θ in the context of physics involving charged particles and tension in strings.

Sep 29, 2007

engineer eman

Homework Statement

two particles each mass m and having a charge q are suspended by string each of l from a common point show that the angel θ which each string makes with the vertical is obtained from
tan^3(θ) \ 1+tan^2(θ) = q^2 \ 16 TT ∑o m g L^2

Homework Equations

f \ cosθ = mg \ sinθ

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Oct 3, 2007

DefaultName

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