1. The problem statement, all variables and given/known data Use Newton's 2nd Law, sum of torques, and kinematic equations to determine the angular speed of the spool shown in the figure below. Assume the string has a negligible mass, and it turns without slipping. Use g=10 m/s2 for acceleration due to gravity. 2. Relevant equations Ʃτ=rxF=Iα F=mA ωf2=ωi2+2αΔθ 3. The attempt at a solution Sum of torques: Ʃτ=rxf =(.6m)(3kg*10m/s2)(sin 90°)=Iα --> 18 kgm2/s2=Iα α=18/[.5(5)(.62)] α=20 rad/s2 But plugging this into the kinematic equation to solve for ωf doesn't give me the right answer (I know this because I calculated ωf based on conservation of energy first (ωf=11.01 rad/sec), so I think I may have messed up somewhere up until this point. Any suggestions?