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A Uniform Solid Cylinder of Mass 10 Kg Can R1=1.0R _ { 1 } = 1.0

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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=1.0R _ { 1 } = 1.0 m exerts a force of magnitude F1=5.0 NF _ { 1 } = 5.0 \mathrm {~N} to the right. A second rope wrapped around another section of radius R2=0.50 mR _ { 2 } = 0.50 \mathrm {~m} exerts a force of magnitude F2=6.0 NF _ { 2 } = 6.0 \mathrm {~N} downward. What is the angular acceleration of the cylinder?
 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 }

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