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gaus12777
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Could you tell me the reason that if pole is close to the imaginary axis, (1) can be same as (2).
Why this approximation is correct?
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The discussion centers on the approximation validity when a pole is near the imaginary axis. It explains that the proximity of the roots to the imaginary axis indicates that the term 2ζpωp is small. This smallness allows for the simplification of equation (1) to equation (2) by ignoring that term. The reasoning hinges on the relationship between the real part of the quadratic equation and the behavior of the roots. Thus, the approximation holds true under these conditions.
Could you tell me the reason that if pole is close to the imaginary axis, (1) can be same as (2).
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The fact that the roots of (1) are close to the imaginary axis tells you (from the real part of the quadratic equation) that 2ζpωp is small. Ignoring that part of (1) gives (2).
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I'm trying to decide what size and type of galvanized steel I need for 2 cantilever extensions. The cantilever is 5 ft. The space between the two cantilever arms is a 17 ft Gap the center 7 ft of the 17 ft Gap we'll need to Bear approximately 17,000 lb spread evenly from the front of the cantilever to the back of the cantilever over 5 ft. I will put support beams across these cantilever arms to support the load evenly
Scenario 1 (figure 1)
A continuous loop of elastic material is stretched around two metal bars. The top bar is attached to a load cell that reads force. The lower bar can be moved downwards to stretch the elastic material.
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At this level of stretch, the load cell reads 45N tensile force.
Key numbers...
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