Three identical small spheres of mass m are suspended by threads of negligible masses and equal length I from a common point. A charge Q is divided equally between the spheres and they come to equilibrium at the corners of a horizontal equilateral triangle whose sides are d. Show that -1/2 d²]- Q° = 12#ejmgd" & - | e? 3 where g = acceleration due to gravity

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.11P
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Three identical small spheres of mass m are
suspended by threads of negligible masses
and equal length l from a common point. A
charge Q is divided equally between the
spheres and they come to equilibrium at the
corners of a horizontal equilateral triangle
whose sides are d. Show that
d?1-/2
Q* = 12TE,mgd| e²
3
where g = acceleration due to gravity
Transcribed Image Text:Three identical small spheres of mass m are suspended by threads of negligible masses and equal length l from a common point. A charge Q is divided equally between the spheres and they come to equilibrium at the corners of a horizontal equilateral triangle whose sides are d. Show that d?1-/2 Q* = 12TE,mgd| e² 3 where g = acceleration due to gravity
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