A spool has an outer radius R, an inner radius r, a mass of m, and a radius of gyration of ko. A rope is wrapped around the radius with a force P = 400 N and applied horizontal to the slope with an angle = 10". The spool rolls up the slope with slipping. 8 A R=0.40 m; r = 0.25m; m = 50 kg; k=0.30 m A) Sketch a both a Free-Body-Diagram and Kinetic-Diagram of the spool. All vectors should be represented as arrows and Neatness counts. B) Determine the angular acceleration of the spool. Show all of your work including your equations of motion.
A spool has an outer radius R, an inner radius r, a mass of m, and a radius of gyration of ko. A rope is wrapped around the radius with a force P = 400 N and applied horizontal to the slope with an angle = 10". The spool rolls up the slope with slipping. 8 A R=0.40 m; r = 0.25m; m = 50 kg; k=0.30 m A) Sketch a both a Free-Body-Diagram and Kinetic-Diagram of the spool. All vectors should be represented as arrows and Neatness counts. B) Determine the angular acceleration of the spool. Show all of your work including your equations of motion.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A spool has an outer radius R, an inner radius r. a mass of m, and a radius of gyration of kg. A rope is wrapped around the inner
radius with a force P = 400 N and applied horizontal to the slope with an angle = 10. The spool rolls up the slope without
slipping.
R=0.40 m; r = 0.25 m: m = 50 kg; k=0.30 m
G
A) Sketch a both a Free-Body-Diagram and Kinetic-Diagram of the spool. All vectors should be represented as arrows and labeled.
Neatness counts.
B) Determine the angular acceleration of the spool. Show all of your work including your equations of motion.
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