A solid, uniform cylinder with mass 8.35kg and diameter 15.0cm is spinning with angular velocity 250rpm on a thin, frictionless axle that passes along the cylinder axis. You design a simple friction-brake to stop the cylinder by pressing the brake against the outer rim with a normal force. The coefficient of kinetic friction between the brake and rim is 0.338. What must the applied normal force be to bring the cylinder to rest after it has turned through 5.05 revolutions?