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

m_{1}and m_{2}are connected by a massless string wrapped around a massless pulley. An external force F is applied to the pulley. m_{1}does not equal m_{2}

find the acceleration of each mass, the tension in the string, and the acceleration of the pulley.

F external and m_{1}and m_{2}are known.

there is no gravity or friction in the problem.

2. Relevant equations

F=ma

3. The attempt at a solution

What i've worked out so far is that we must consider two reference frames to determine the accelerations. If we can calculate the acceleration of the pulley and the acceleration of one of the masses, the acceleration of the other mass should be determined.

If we consider the pulley's reference frame, one of the masses will be accelerating toward the pulley and the other mass will be accelerating with an equal and opposite acceleration.

If we consider m_{1}, we see the pulley accelerating toward m_{1}and m_{2}accelerating with an equal acceleration.

how can we combine these two reference frames to determine the accelerations in the lab frame?

is the acceleration of the center of mass of the system relevant?

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# 2 masses connected by a string wrapped around a massless pulley, F applied to pulley.

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