A rope of negligible mass is wrapped around a 225-kg solid cylinder of radius 0.400 m. The cylinder is suspended several meters off the ground with its axis oriented horizontally, and turns on that axis without friction. (a) If a 75.0-kg man takes hold of the free end of the rope and falls under the force of gravity, what is his acceleration? m/s² (b) What is the angular acceleration of the cylinder? rad/s2 (c) If the mass of the rope were not neglected, what would happen to the angular acceleration of the cylinder as the man falls?

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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A rope of negligible mass is wrapped around a 225-kg solid cylinder of radius 0.400 m. The cylinder is suspended several meters off the ground with its axis oriented horizontally, and turns on that axis without
friction.
(a) If a 75.0-kg man takes hold of the free end of the rope and falls under the force of gravity, what is his acceleration?
m/s²
(b) What is the angular acceleration of the cylinder?
rad/s²
(c) If the mass of the rope were not neglected, what would happen to the angular acceleration of the cylinder as the man falls?
Transcribed Image Text:A rope of negligible mass is wrapped around a 225-kg solid cylinder of radius 0.400 m. The cylinder is suspended several meters off the ground with its axis oriented horizontally, and turns on that axis without friction. (a) If a 75.0-kg man takes hold of the free end of the rope and falls under the force of gravity, what is his acceleration? m/s² (b) What is the angular acceleration of the cylinder? rad/s² (c) If the mass of the rope were not neglected, what would happen to the angular acceleration of the cylinder as the man falls?
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