The 32-kg spool of outer radius ro 420 mm has a centroidal radius of gyration k 265 mm and a central shaft of243 N is applied to the end of a cableradius ri 155 mm. The spool is at rest on the incline when a tension Twhich is wrapped securely around the central shaft as shown. Determine the acceleration a of the spool center Gand the friction force Facting at the interface of the spool and incline. The friction coefficients there are H0.28 and Hk 0.19. The tension T is applied parallel to the incline and the angle 0 19 The acceleration a and theforce F are both positive if up the incline, negative if down.m, ETTAAnswers:m/s2a =iFZ

Draw the free body diagram of the spool as:

Answered: The 32-kg spool of outer radius ro 420…

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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6/64 The 30-kg spool of outer radius r = 450 mm has a centroidal radius of gyration k = 275 mm and a central shaft of radius r;= 200 mm. The spool is at rest on the incline when a tension T = 300 N is applied to the end of a cable which is wrapped securely around the central shaft as shown. Determine the acceleration of the spool center G and the magnitude and direction of the friction force acting at the interface of the spool and incline. The friction coefficients there are µ = 0.45 and μ = 0.30. The tension T'is applied parallel to the incline and the angle 9 = 20°. T m, k == e -Hg, Mk
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