The 29-kg spool of outer radius ro = 530 mm has a centroidal radius of gyration k = 355 mm and a central shaft of radius r; = 215 mm. The spool is at rest on the incline when a tension T = 204 N is applied to the end of a cable which is wrapped securely around the central shaft as shown. Determine the acceleration a of the spool center G and the friction force F acting at the interface of the spool and incline. The friction coefficients there are μs = 0.28 and μk = 0.17. The tension T is applied parallel to the incline and the angle = 16°. The acceleration a and the force F are both positive if up the incline, negative if down. T m. , k Answers: a = -2.12 e Hg, Hk F = -45.446 N m/s²
The 29-kg spool of outer radius ro = 530 mm has a centroidal radius of gyration k = 355 mm and a central shaft of radius r; = 215 mm. The spool is at rest on the incline when a tension T = 204 N is applied to the end of a cable which is wrapped securely around the central shaft as shown. Determine the acceleration a of the spool center G and the friction force F acting at the interface of the spool and incline. The friction coefficients there are μs = 0.28 and μk = 0.17. The tension T is applied parallel to the incline and the angle = 16°. The acceleration a and the force F are both positive if up the incline, negative if down. T m. , k Answers: a = -2.12 e Hg, Hk F = -45.446 N m/s²
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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The 29-kg spool of outer radius ro=530 mm has a centroidal radius of gyration k=355 mm and a central shaft of radius ri=215 mm. The spool is at rest on the incline when a tension T=204 N is applied to the end of a cable which is wrapped securely around the central shaft as shown. Determine the acceleration aaa of the spool center GGG and the friction force F acting at the interface of the spool and incline. The friction coefficients there are μs=0.28 and μk=0.17. The tension T is applied parallel to the incline and the angle θ=16. The acceleration aaa and the force F are both positive if up the incline, negative if down.
a is not 2.112 or -2.112
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