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?
$A uniform solid cylinder of mass 10 kg can rotate about a frictionless axle through its center O, as shown in the cross-sectional view in the figure. A rope wrapped around the outer radius R _ { 1 } = 1.0 m exerts a force of magnitude F _ { 1 } = 5.0 \mathrm {~N} to the right. A second rope wrapped around another section of radius R _ { 2 } = 0.50 \mathrm {~m} exerts a force of magnitude F _ { 2 } = 6.0 \mathrm {~N} downward. What is the angular acceleration of the cylinder? A) 1.0 \mathrm { rad } / \mathrm { s } ^ { 2 } B) 0.60 \mathrm { rad } / \mathrm { s } ^ { 2 } C) 0.80 \mathrm { rad } / \mathrm { s } ^ { 2 } D) 0.40 \mathrm { rad } / \mathrm { s } ^ { 2 }$
A)

1.0 \mathrm { rad } / \mathrm { s } ^ { 2 }

0.60 \mathrm { rad } / \mathrm { s } ^ { 2 }

0.80 \mathrm { rad } / \mathrm { s } ^ { 2 }

0.40 \mathrm { rad } / \mathrm { s } ^ { 2 }

A Bicycle Wheel Has an Initial Angular Speed of

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