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