The periods of natural vibrations of a cantilever are given by where l, E, I and are physical constants dependent on the shape and material of the cantilever and is a root of the equation Examine this equation graphically Estimate its lowest root 0 and obtain an approximation for the kth root k Com...

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

212 P 02 V

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 α_k. Compare the two iterations:

and n+1 cosh (-sec 0) On+1= cos(-sech 0,)

Which should be used to find an improved approximation to x₀?

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Modern Engineering Mathematics

ISBN: 9781292253497

6th Edition

Authors: Glyn James

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Question Posted: Jan 13, 2024 09:04 AM

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The periods of natural vibrations of a cantilever are given by where l, E, I and

Question:

212 P 02 V

Step by Step Answer:

sech x 2 188 Use ...View the full answer

Modern Engineering Mathematics

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