- #1

Jorgen1224

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## Homework Statement

Two balls of mass m are attached to ends of two, weigthless metal rods (lengths l

_{1}and l

_{2}). They are connected by another metal bar.

Determine period of small oscillations of the system

## Homework Equations

E

_{k}=mv

^{2}/2

v=dx/dt

Conversation of energy

2πsqrt(M/k)

## 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 v

_{x}and v

_{y}And how did this square root turn into a different one, but times dx/dt? Apparentaly this root is equal 1.