In the figure three \(10,000 kg\) ore cars are held at rest on a mine railway using a cable that is parallel to the rails, which are inclined at angle \( \theta= 30°\). The cable stretches \(15 cm\) just before the coupling between the two lower cars breaks, detaching the lowest car. Assuming that the cable obeys Hooke's law , find the amplitude (in\(cm\)) of the resulting oscillations of the remaining two cars.

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