(Solved): The double pulley shown has a mass of \( 15 \mathrm{~kg} \) and a centroidal radius of gyration of ...

The double pulley shown has a mass of \( 15 \mathrm{~kg} \) and a centroidal radius of gyration of \( 160 \mathrm{~mm} \). Cylinder \( A \) and block \( B \) are attached to cords that are wrapped on the pulleys as shown in the figure. The coefficlent of kinetic friction between block \( B \) and the surface is \( 0.2 \). Consider that the system is at rest in the position shown when a constant force \( P= \) \( 190 \mathrm{~N} \) is applied to cylinder \( A \). Determine the velocity of cyllinder \( A \) as it strlkes the ground. (You must provide an answer before moving on to the next part.) The velocity of cylinder \( A \) as it strikes the ground is \( \quad \mathrm{m} / \mathrm{s} \)