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

Question

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

Quizplus · Accepted Answer

The Answer of 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

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

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