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A highway overpass was observed to resonate as one full loop $\left(\frac{1}{2} \lambda\right)$ when a small earthquake shook the ground vertically at 3.0 $\mathrm{Hz}$ . The highway department put a support at the center of the overpass, anchoring it to the ground as shown in Fig. $41 .$ What resonant frequency would you now expect for the overpass? It is noted that earthquakes rarelydo significant shaking above 5 or 6 Hz. Did the modifications do any good? Explain.
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Physics 101 Mechanics
Physics 102 Electricity and Magnetism
Chapter 15
Wave Motion
Periodic Motion
Mechanical Waves
Electromagnetic Waves
Rutgers, The State University of New Jersey
University of Michigan - Ann Arbor
Simon Fraser University
University of Winnipeg
Lectures
03:40
In physics, electromagnetic radiation (EM radiation or EMR) refers to the waves (or their quanta, photons) of the electromagnetic field, propagating (radiating) through space, carrying electromagnetic radiant energy. It includes radio waves, microwaves, infrared, (visible) light, ultraviolet, X-rays, and gamma rays. Electromagnetic waves of different frequency are called by different names since they have different sources and effects on matter. In order of increasing frequency and decreasing wavelength these are: radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays and gamma rays.
10:59
In physics, Maxwell's equations are a set of partial differential equations that, together with the Lorentz force law, form the foundation of classical electromagnetism, classical optics, and electric circuits. They underpin all electric, optical and radio such electromagnetic technologies as power generation, electric motors, wireless communication, cameras, televisions, computers, and radar. Maxwell's equations describe how electric and magnetic fields are generated by charges, currents, and changes of these fields. The equations have two major variants. The microscopic Maxwell equations have universal applicability but are unwieldy for common calculations. They relate the electric and magnetic fields to total charge and total current, including the complicated charges and currents in materials at the atomic scale. The macroscopic Maxwell equations define two new auxiliary fields that describe the large-scale behaviour of matter without having to consider atomic scale details. The equations were published by Maxwell in his 1864 paper "A Dynamical Theory of the Electromagnetic Field". In the original paper Maxwell fully derived them from the Lorentz force law (without using the Lorentz transformation) and also from the conservation of energy and momentum.
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is this question. We said there is the earthquake and the earthquakes that whole grand vibrates at, uh, weakness of three herds. And it's observed that when the earthquake happens, doesn't her bridge rasa date in one for loop? So half the weightless and it after the earthquake. The engineers put this support at the middle of it as a question asks What resident frequency went down? Well, us expect now for this bridge, and with this at a support we have one more note is prefers to have two notes. Now we have three, so it cannot resonate at this frequency anymore. All they have is having the second residence or or numbers residents in which we have not here. So the lowest frequency would be six words, and it is the questions is it is noted that earth quick don't really have significant shaking above five or six minutes. So because of that, this'll modification will make this bridge most dirty because these are squid doesn't do. Six doesn't vibrate. It's six months since bridge will not he affected and you will. You will not have large oscillations. It will not resonate Weezer's quick
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