The 30-kg spool of outer radius r_o = 450 mm has a centroidal radius of gyration k̅ = 275 mm and a central shaft of radius r_i = 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_s = 0.45 and μ_k = 0.30. The tension T is applied parallel to the incline and the angle θ = 20°.

Transcribed Image Text:

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