A solid cylinder of mass 10 kilogram is pivoted about a frictionless axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 meter, exerts a force F1 = 5.0 Newton to the right. A second rope wrapped around another section of radius R2 = 0.50 meter exerts a force F2 = 6.0 Newton downward. Find how many radians does the cylinder rotate through in the first 5.0 seconds, if it starts from rest?