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A man is pulling himself up to a pulley that consists of two disks welded together as shown. The man is currently pulling straight down on the rope in his hands with a force of magnitude 468.2 N. The other rope is also vertical and is attached to the man's waist at his center of mass. The man's mass is 86 kg, the pulley's total moment of inertia is 4.36 kg m2, the radius of the small disk is 0.37 m, and the radius of the big disk is 0.71 m.

A man is pulling himself up to a pulley that consists of two disks welded together as shown. The man is currently pulling straight down on the rope in his hands with a force of magnitude 468.2 N. The other rope is also vertical and is attached to the man's waist at his center of mass. The man's mass is 86 kg, the pulley's total moment of inertia is 4.36 kg m2, the radius of the small disk is 0.37 m, and the radius of the big disk is 0.71 m.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Text:** A man is pulling himself up to a pulley that consists of two disks welded together as shown. The man is currently pulling straight down on the rope in his hands with a force of magnitude 468.2 N. The other rope is also vertical and is attached to the man’s waist at his center of mass. The man’s mass is 86 kg, the pulley’s total moment of inertia is 4.36 kg m², the radius of the small disk is 0.37 m, and the radius of the big disk is 0.71 m. With the force given above, what is the magnitude of the acceleration of the man’s waist (where the rope is attached)? **Diagram Explanation:** The diagram shows a man hanging vertically from two ropes connected to a pulley system. The pulley system consists of two concentric disks of different radii. The man, whose body is depicted with his legs and arms pointing outward, is pulling down on one rope with his hands while the other rope is attached to his waist. The pulley is mounted on a fixed axis. The ropes run over the disk with the ropes aligned vertically.
Transcribed Image Text:**Text:** A man is pulling himself up to a pulley that consists of two disks welded together as shown. The man is currently pulling straight down on the rope in his hands with a force of magnitude 468.2 N. The other rope is also vertical and is attached to the man’s waist at his center of mass. The man’s mass is 86 kg, the pulley’s total moment of inertia is 4.36 kg m², the radius of the small disk is 0.37 m, and the radius of the big disk is 0.71 m. With the force given above, what is the magnitude of the acceleration of the man’s waist (where the rope is attached)? **Diagram Explanation:** The diagram shows a man hanging vertically from two ropes connected to a pulley system. The pulley system consists of two concentric disks of different radii. The man, whose body is depicted with his legs and arms pointing outward, is pulling down on one rope with his hands while the other rope is attached to his waist. The pulley is mounted on a fixed axis. The ropes run over the disk with the ropes aligned vertically.
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