F=ma 2018 Part B Problem 14

A spool is made of a cylinder with a thin disc attached to either end of the cylinder, as shown. The cylinder has radius r=0.75 \mathrm{~cm} and the discs each have radius R=1.00 \mathrm{~cm}. A string is attached to the cylinder and wound around the cylinder a few times. At what angle above the horizontal can the string be pulled so that the spool will slip without rotating?

Answer Choices
A. 31.2^{\circ}
B. 41.4^{\circ}
C. 54.0^{\circ}
D. 60.8^{\circ}
E. 81.5^{\circ}