You need to lift a heavy load of inertia (m_{c}) upward with an acceleration of magnitude (g

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You need to lift a heavy load of inertia \(m_{c}\) upward with an acceleration of magnitude \(g / 8\). You have two pulleys of inertia \(m_{\mathrm{p}} \ll m_{i}\), one attached to a beam above the loading dock and another that can be attached to the load. You consider a block-and-tackle system, which has two pulleys, but you realize that these are double pulleys (each has two wheels side by side on a common axle) and you have a long piece of rope.

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