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4) Consider the arrangement shown below, where a solid spherical mass has a very thin equatorial slit cut in it so that a hub can be accessed. It is basically a spherical "Yo-Yo'. Its mass M and radius Ris pulled by means of a string wound around a massless hub of radius r. A force F is applied using a string, as shown. I want all the vectors to be clearly drawn, and the necessary formulas clearly derived. a) Calculate the acceleration and frictional force as functions of the variables(F. M. R and r) given. b) For should r/R have to be if the frictional force is to be zero regardless of what F is? c) The mass is 20.0 kg, the force applied is 50.0 N. Assume that the radius of the hub (r) is 0.8 meters and the radius of the sphere (R) is 1.2 meters. What would the acceleration if there were no friction? (Call this value ao) What is the linear acceleration attained by the disc be if there is enough friction to prevent sliding? Calculate the numerical value of the friction. BONUS: If the coef. of friction is =0.6 what is the maximum force that can be applied, and therefore the maximum acceleration that can be attained before sliding begins?