A \(60 \mathrm{~kg}\) drum of waste material is being hoisted by an overhead crane and winch system as illustrated in Figure P3.12. The system is modeled as a simply supported beam to which the cable is attached. The drum of waste material is attached to the end of the cable. When the length of the cable is \(6 \mathrm{~m}\), the natural period of the system is measured as \(0.3 \mathrm{~s}\). What is the mass of the waste material?

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L = 3 m Beam: E 200 x 109 N/m I= 2.6 10-4 m Cable: E 200 109 N/m. r = 8 cm FIGURE P3.12 Waste