The article deals with the problem of a dynamic processes in mine hoisting systems critically affect operational safety and performance. Existing models often treat ropes as weightless viscoelastic elements, neglecting the combined effects of rope deformation, distributed mass, material stiffness, and balancing ropes, which are increasingly significant at high lifting heights. This study presents a simplified yet comprehensive modeling approach: the rope is divided into equal segments with distributed mass, each represented as a discrete mass connected by weightless viscoelastic elements. This method captures the interactions of elasticity, damping, and distributed mass while remaining computationally efficient. Simulation results demonstrate improved prediction of rope deformation and dynamic responses under various operational conditions. The proposed approach provides practical insights for the design, optimization, and safe operation of deep mine hoisting systems, addressing limitations of previous models and supporting enhanced reliability in high-risk lifting operations.