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A 1100 kg lift is suspended by a series of 24 steel cables of mean diameter 20mm. The cables are attached to the lift top

A 1100 kg lift is suspended by a series of 24 steel cables of mean diameter 20mm. The cables are attached to the lift top and are arranged so that torsional vibration is minimised.

The lift is accelerating upwards at a rate of 0.22m/s2 and is driven by a winding drum of diameter 1.0m, which has a radius of gyration of 0.45m. The mass of the drum is 230kg.

If the cable is manufactured from steel with an elastic modulii of 185GN/m2 and elastic constant of 200kN/m: What will be the total displacement of the cable 0.7 seconds after the lift comes to a halt?

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