The periods of natural vibrations of a cantilever are given by where l, E, I and
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The periods of natural vibrations of a cantilever are given by
where l, E, I and ρ are physical constants dependent on the shape and material of the cantilever and θ is a root of the equation
Examine this equation graphically. Estimate its lowest root α0 and obtain an approximation for the kth root αk. Compare the two iterations:
Which should be used to find an improved approximation to x0?
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