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Engineering Mechanics: Statics and Dynamics 14th (physics)

A force of $P=20 \mathrm{N}$ is applied to the cable, which causes the 175 -kg reel to turn without slipping on the two rollers $A$ and $B$ of the dispenser. Determine the angular velocity of the reel after it has made two revolutions starting from rest. Neglect the mass of the cable. Each roller can be considered as an 18 -kg cylinder, having a radius of $0.1 \mathrm{m}$. The radius of gyration of the reel about its center axis is $k_{G}=0.42 \mathrm{m}$