(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A smooth ring with a mass m is threaded through a light inextensible string .The ends of the string are tied to two fixed points A and B on a horizontal ceiling so that the ring is suspended and can slide freely on the string.A hotizontal force acts on the ring in a vertical plane through the string .THe ring is in equilibrium with the parts of the string AP and BP making angles of 60 degrees and 30 degrees with the vertical respectively. Find the magnitude of the horizontal force.

2. Relevant equations

3. The attempt at a solution

Call tension of string AP , T1 and of BP , T2

T_{1}(0.5)+T_{2}((root 3)/2)=10 m

T_{1}=20m-T_{2}root(3) ---1

Horizontal components are equal ,

T_{2}sin 30 +F = T_{1}sin 60 ---2

i ended up with F=-2T_{2}+10root(3)m

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# Homework Help: Mechanics of smooth rings and string

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