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
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. A. Calculate the net torque? B. What is the moment of inertia of the cylinder? (Look up the equation) C. Determine the angular acceleration of the cylinder? D. Calculate the angular displacement in radians that the cylinder rotates through in the first 5.0 seconds, if it starts from rest? E. What is the angular velocity of the cylinder after 5 seconds? Assume that it started moving from rest.
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