Two identical pith balls each carrying a charge q

Asked by admin @ 17/08/2021 in Physics viewed by 374 People

Two identical pith balls,each carrying a charge q, are suspended from a common point by two strings of equal length ( L). FIND THE MASS OF EACH BALL.

if the angle between the string is 2theta in equilibrium .... find the mass of each ball...

Answered by admin @ 17/08/2021

Let m is the mass of each ball and balls are suspended from a common point by two strings of equal length L, at equilibrium condition angle between stings is 2θ as shown in figure.
at equilibrium ,
Tcosθ = mg
And , Tsinθ = Kq²/r² ,where r = 2Lsinθ
∴ Tsinθ/Tcosθ = Kq²/r²mg
⇒tanθ = Kq²/(2Lsinθ)²mg
⇒ m = kq²/{4L²sin²θ × tanθ × g}
= Kq²cosθ/4L²sin³θg

Hence, mass of each ball is kq²cosθ/4L²sin³θg

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Two identical pith balls each carrying a charge q

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