A window cleaner is pulling himself up a pulley that consists of two disks welded together as shown. The person is currently pulling straight down on the rope in his hands with a force of magnitude 415 N. The other rope is also vertical and is attached to the person's center of mass. The person's mass is 85.1 kg, the pulley's total moment of inertia is 4 kg*m^2, the radius of the small disk is .39 m, and the radius of the big disk is 1 m. What is the magnitude of the acceleration of the person's center of mass?

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A window cleaner is pulling himself up a pulley that consists of two disks welded together as shown. The person is currently pulling straight down on the rope in his hands with a force of magnitude 415 N. The other rope is also vertical and is attached to the person's center of mass. The person's mass is 85.1 kg, the pulley's total moment of inertia is 4 kg*m^2, the radius of the small disk is .39 m, and the radius of the big disk is 1 m.

What is the magnitude of the acceleration of the person's center of mass?

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