Two balls of mass m are attached to ends of two, weigthless metal rods (lengths l1 and l2). They are connected by another metal bar.
Determine period of small oscillations of the system
Conversation of energy
The Attempt at a Solution
That is actually the problem. I know the solution, but i don't really understand it and i wanted to ask if anyone could explain it to me or help me understand. I'm especially curious about the 1st and 3rd lines.
1st equation i don't understand at all, where did it come from? This root makes me think that pythagora's theorem was used, but how did it even turn into this fraction at the end?
I understand the beginning of 3rd equation, i suppose that's pythagoras theorem there, but why written in derivatives? It's basically vx and vy And how did this square root turn into a different one, but times dx/dt? Apparentaly this root is equal 1.