In the modified Atwood machine shown in Figure P8.57, each of the three blocks has the same

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In the modified Atwood machine shown in Figure P8.57, each of the three blocks has the same inertia \(m\). One end of the vertical spring, which has spring constant \(k\), is attached to the single block, and the other end of the spring is fixed to the floor. The positions of the blocks are adjusted until the spring is at its relaxed length. The blocks are then released from rest. What is the acceleration of the two blocks on the right after they have dropped a distance \(d\) ? Ignore any friction in the pulleys.

Data from Figure P8.57

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