Movable pulley

The system shown in the diagram has two movable pulleys each of mass \(m\) and a third pulley fixed to the ceiling.

When the system is released from rest, the movable pulleys accelerate. Find the sum of the magnitudes of the accelerations of the 2 pulleys in \(\text{m/s}^2.\)

Submit your answer to 2 decimal places.

\(\)
Details and Assumptions:

  • Take \(g=10\text{ m/s}^2\).

  • Neglect friction everywhere.

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