Cartons having a mass of 5 kg are required to move along the assembly line at a constant s...

Cartons having a mass of 5 kg are required to move along the assembly line at a constant speed of 8 m/s. Determine the smallest radius of curvature, ρ, for the conveyor so the cartons do not slip. The coefficients of static and kinetic frict ion between a carton and the conveyor are μs = 0.7 and μk = 0.5, respectively.