A Uniform Solid Cylinder of Mass 10 Kg Can $R _ { 1 } = 1.0$

Multiple Choice

A uniform solid cylinder of mass 10 kg can rotate about a frictionless axle through its center O , as shown in the cross-sectional view in the figure. A rope wrapped around the outer radius $R _ { 1 } = 1.0$ m exerts a force of magnitude $F _ { 1 } = 5.0 \mathrm {~N}$ to the right. A second rope wrapped around another section of radius $R _ { 2 } = 0.50 \mathrm {~m}$ exerts a force of magnitude $F _ { 2 } = 6.0 \mathrm {~N}$ downward. How many radians does the cylinder rotate through in the first 5.0 seconds, if it starts from rest?

A) 5.0 rad
B) 7.5 rad
C) 13 rad
D) 10 rad