(Meriam and Kraige 6th ed. 6/89) The spool (ro = 0.2 m, ri = 0.075 m) has a mass of 25 kg and radius of gyration kG = 175 mm. Constant force T is applied at an angle 0 to a cord securely wrapped around the inner radius as %3D T. ro TI G shown. If T = 50 N, 0 = 30°, and friction coefficients with the ground surface us = 0.10 and p = 0.08, find the angular acceleration of the disk, the acceleration of its center of mass G, and the friction force which the surface exerts on the spool. Assume that the spool is initially at rest.

International Edition---engineering Mechanics: Statics, 4th Edition
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Author:Andrew Pytel And Jaan Kiusalaas
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Chapter7: Dry Friction
Section: Chapter Questions
Problem 7.49P
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(Meriam and Kraige 6th ed. 6/89) The spool (ro = 0.2 m,
ri = 0.075 m) has a mass of 25 kg and radius of gyration
kg = 175 mm. Constant force Tis applied at an angle 0 to
a cord securely wrapped around the inner radius as
T
то
TI
G
shown. If T = 50 N, 0 = 30°, and friction coefficients
with the ground surface u, = 0.10 and uk = 0.08, find the
angular acceleration of the disk, the acceleration of its
center of mass G, and the friction force which the
surface exerts on the spool. Assume that the spool is
initially at rest.
(Answers: 0.3 rad/s [CCW], 1.0 m/s [ ] 18 N[-])
Transcribed Image Text:(Meriam and Kraige 6th ed. 6/89) The spool (ro = 0.2 m, ri = 0.075 m) has a mass of 25 kg and radius of gyration kg = 175 mm. Constant force Tis applied at an angle 0 to a cord securely wrapped around the inner radius as T то TI G shown. If T = 50 N, 0 = 30°, and friction coefficients with the ground surface u, = 0.10 and uk = 0.08, find the angular acceleration of the disk, the acceleration of its center of mass G, and the friction force which the surface exerts on the spool. Assume that the spool is initially at rest. (Answers: 0.3 rad/s [CCW], 1.0 m/s [ ] 18 N[-])
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