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
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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

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
Transcribed Image Text: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
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