A ball with the mass m is attached to a rod, suspended by two strings both with lengths L.
The rod is rotating with the angular velocity ω and the ball rotates with it in such a way that the strings are taut and the ball moves in a circular pattern. I tried to draw it on my computer farily accurate. (See attached image)
The first task is to provide a relationship between the tensions in the strings. (The upper tension over the lower tension.)
And the second is to determine the minimum angular velocity ##ω## for the lower string to be taut.
I know that the centripetal acceleration ##a=ω^2r## and the centripetal force ##F_c=ma=mv^2/r##
The Attempt at a Solution
So I have to get the X- and Y components of the tension force for each string. The weight ##w=mg## of the ball.
But I'm having real troubles to getting started. Any good tips on stuff that I've left out and how to tackle this one?