A Uniform Solid Cylinder of Mass 10 Kg Can Rotate

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 R₁ = 1.0 m exerts a force of magnitude F₁ = 5.0 N to the right. A second rope wrapped around another section of radius R₂ = 0.50 m exerts a force of magnitude F₂ = 6.0 N downward. What is the angular acceleration of the cylinder?

A) 1.0 rad/s²
B) 0.60 rad/s²
C) 0.40 rad/s²
D) 0.80 rad/s²