A steel cable having a diameter of 0.4 in. wraps over a drum and is used to lower an elevator having a weight of \(800 \mathrm{lb}\). The elevator is \(150 \mathrm{ft}\) below the drum and is descending at the constant rate of \(2 \mathrm{ft} / \mathrm{s}\) when the drum suddenly stops. Determine the maximum stress developed in the cable when this occurs. \(E_{\mathrm{st}}=29\left(10^{3}\right) \mathrm{ksi}, \sigma_{Y}=50 \mathrm{ksi}\).

Transcribed Image Text:

150 ft