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## Homework Statement

Consider a situation

I'm curious why is that the massless pulley's acceleration is just the avarage of acceleration of m1 and that of m2?

a

_{b}=(a_{1}+a_{2})/2## Homework Equations

Forces acting on pulley are T

**-2T**

_{c}**=0 (because pulley is massless, force can't give it acceleration)**

_{a}Therefore tensions are T

**=2T**

_{c}

_{a}But, T

**-m**

_{a}**g=m**

_{1}**[/B]**

_{1}a

and T_{1}and T

_{a}-m_{2}g=m_{2}a_{2}## The Attempt at a Solution

Intuitively it makes sense.But I can't find the equation that describes this relationship.[/B]