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

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. What is the angular acceleration of the cylinder?

A) $1.0 \mathrm { rad } / \mathrm { s } ^ { 2 }$
B) $0.60 \mathrm { rad } / \mathrm { s } ^ { 2 }$
C) $0.80 \mathrm { rad } / \mathrm { s } ^ { 2 }$
D) $0.40 \mathrm { rad } / \mathrm { s } ^ { 2 }$