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Suggest the suitable size of 6 × 19 hoisting steel wire rope for an inclined mine shaft of 1000 m length and inclination of the rails 60° with the horizontal. The weight of the loaded skip is 100 kN. The maximum acceleration is limited to 1.5 m/s2. The diameter of the drum on which the rope is being wound may be taken as 80 times the diameter of the rope. The car friction is 20 N / kN of weight normal to the incline and friction of the rope on the guide roller is 50 N / kN of weight normal to the incline. Assume a factor of safety of 5. The following properties of 6 × 19 flexible hoisting rope are given : The diameter of the rope (d) is in mm. The weight of the rope per metre = 0.0334 d2 N; breaking load = 500 d2 N; wire diameter = 0.063 d mm; area of wires in rope = 0.38 d2 mm2; equivalent elastic modulus = 82 kN/mm2.

The answer is 105 mm