Perform measurements as described in Problem P3.28 for cantilever beams of several different lengths. Can you show experimentally that, for a given force F, the deflection of the cantilever’s tip is proportional to the cube of its length? As in Problem P3.28, present your results in a table and a graph, and report only those significant digits that you know reliably.

Problem P3.28

A structure known as a cantilever beam is clamped at one end but free at the other, analogous to a diving board that supports a swimmer standing on it (Figure P3.28). Using the following procedure, conduct an experiment to measure how the cantilever beam bends. In your answer, report only the significant digits that you know reliably.

Figure P3.28

F Ay L