A diver is able to slightly adjust the location of the intermediate support on the diving board in Figure P3.10. What is the range of natural frequencies a \(140 \mathrm{lb}\) diver can attain if the distance between the supports can be adjusted between 4 and \(6.5 \mathrm{ft}\) ?

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-4 f = E 100 x 10 N/m FIGURE P3.10 1 in. -6 ft- 2 ft