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(Solved): The 35-kg spool of outer radius r_(o)=490mm has a centroidal radius of gyration k=275mm and a centra ...



The 35-kg spool of outer radius r_(o)=490mm has a centroidal radius of gyration k=275mm and a central shaft of radius r_(i)=210mm. The spool is at rest on the incline when a tension T=245N 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 \mu _(s)=0.50 and \mu _(k)=0.35. The tension T is applied parallel to the incline and the angle \theta = 16\deg . The acceleration a and the force F are both positive if up the incline, negative if down. Answers: a= (m)/(s^(2)) F= i N


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