Finding the Period of Oscillation for an Elevator After a Minor Earthquake

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An elevator of mass M = 300 kg hangs at the end of a long, thin steel cable: it has length L = 96 m and diameter d = 3 mm.

A minor earthquake shakes the entire building. After the quake passes, the elevator continues to bob up and down for a long time. What is the period of oscillation?
i used F/A=G*Delta length/length of the cable to find the string constant. ..then i used period=2pie*square ROOt of mass/string constant to find period...however, the answer is no right.
 
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