Natural Definition and 1000 Threads

Hi... I am leanring some knowledge about vibration. For a given vibaraiton system, for example, cantilever beam, we can perform modal anlaysis and found five natural frequency of 3, 6, 8, 10 and 20 Hz (just made up) and five corresponding vibration modes. after that we give a harmonic force on...

I've read that natural frequency conveyors are very efficient because the drive only compensates for the amplitude that's lost in the elastic supports. Could you please explain how is this different from working at resonant frequency which is so dangerous? P.S. What kind of analysis should I...

I'm considering two types of vibrating feeders, brute force and natural frequency. Can you tell me how natural frequency conveyor works? What kind of design should I choose to transfer light materials? What If I want to use an upwards angle, how do I determine that upward going path of...

how can i find this book?? ( Isaac Newton - The Mathematical Principles of Natural Philosophy)

[FONT=Helvetica Neue]I'm a natural number written with 10 different digits such that for all [FONT=Helvetica...

Homework Statement f(x) = 1/ln (10-x) -- I would assume it to be a fairly simple equation, but I am screwing it upHomework Equations What is f'(x)?The Attempt at a Solution f'(x) = (ln (10-x))^-1 = -(ln (10-x))^-2 * -1 * 1/(10-x) -- 2 negatives cancel out = 1/(10-x) (ln(10-x))2 --...

Homework Statement Hello, I had a few derivative of the natural logarithm functions questions. It seems like it should be fairly straightforward, but I am turning it into a pig’s ear.On my honor, none of these are problems on an assessment per se, however, they are not materially different than...

the following 2nd order differential equation is given: 2y'' + 4y' +8y=8x........(1) i want to find damping ratio, undamped natural frequency, damping ratio coefficient and time constant for the above system. solution: comparimg (1) with general system equaion (veriable can be exchanged)...

Homework Statement I posted a picture of it and my attempt it is number 3 Homework EquationsThe Attempt at a Solution I tried using log properties and I am not sure what went wrong and how to arrive at the correct answer. Mod note: Messy, disorganized image deleted.

I am trying to get used to using a Data Physics analyzer at work in order to measure the natural frequency of components of a larger project I am involved in, my method described is intentionally crude as I was trying to do this as a quick play around before diving into the real thing.. To...

How many of the [ 92?] naturally occurring elements could be found in hand-full of sand ?. Including those only present at minuscule , but measurable , amounts. http://en.wikipedia.org/wiki/File:PismoBeachSand.JPG

Homework Statement I was given a task to model (using Matlab) 3 identical particles in external field and find spectra of lowest system energy states using gradient descend method for each particle in the system. I did a run of 500 random generated coordinates and found this distribution...

Homework Statement Basically, I was reading the following passage from a textbook, and I'm confused as to why they mention natural frequencies? Doesn't each harmonic have just one frequency that it oscillates at? From what I understand, the natural frequency is just the frequency an object...

I am trying to prove the following. Let $V_1, \ldots, V_k$ be finite dimensional vector spaces over a field $F$. There is a natural isomorphism between $V_1^*\otimes\cdots\otimes V_k^*$ and $\mathcal L^k(V_1, \ldots, V_k;\ F)$. Define a map $A:V_1^*\times\cdots\times V_k^*\to \mathcal L^k(V_1...

I am reading Manfred Stoll's book: Introduction to Real Analysis. I need help with Stoll's definition of the natural logarithm function (page 234 -235) The relevant section of Stoll reads as follows: In this section we read: " ... ... To prove (a), consider the function $$L(ax), x \gt 0$$...

Homework Statement I am trying to understand why ℕ the set of natural numbers is considered a Closed Set. 2. Relevant definition A Set S in Rm is closed iff its complement, Sc = Rm - S is open. The Attempt at a Solution I believe I understand why it is not an Open Set: Given that it...

is e^{2 \ln{|x|}} = |x^2| or x^2?

Hello everyone this is my first post here. I'm sorry if my spelling is terrible. I am no physicists so I would like to ask if my thinking was going in the right direction. When I say energy I really mean electromagnetic radiation. The Earth receives it constantly from the sun but there is no...

Why do Moons revolve around planets? If because of gravitational pull, why won't they clash with planets. Please help me get answer to this question!?

Does anyone know where I might find the natural spectrum of bodies in the universe? Something like http://upload.wikimedia.org/wikipedia/commons/2/27/Spectrum_of_Sunlight_en.svg as a sum of all known stars, black holes, pulsars, solar winds on planetary atmospheres, etc covering the entire...

Homework Statement Over the years, buildings have been able to be built out of lighter and lighter materials. how has this affected the natural oscillation frequencies of buildings and the problems of resonance due to passing trucks, airplanes, or by wind and other natural sources of vibration...

Homework Statement Units of the problem are chosen to be such as KB = 1 and ħ = 1 so that energies are expressed in Kelvin and lengths in Å. The professor says the resulting value of ħ2 / 2 m for a 4-He atom is 6.0599278: how is that possibile? Homework Equations Natural units websites give...

Hello! (Wave) For each pair of natural numbers $m \in \omega, n \in \omega$ we define: $$m+0=m\\m+n'=(m+n)'$$ We fix a $m$ and recursively the operation $m+n$ is defined for any $n \in \omega$. Knowing for example that $m+0=m$ we can conclude what $m+1$ means. $$m+1=m+0'=(m+0)'=m'$$ and...

Hello! (Wave) I want to prove that for any natural numbers $n,m$ it holds that: $$n \subset m \leftrightarrow n \in m \lor n=m$$ $"\Leftarrow"$: Using the sentence: "For any natural numbers $m,n$ it holds that $n \in m \rightarrow n \subset m$" if $n \in m \lor n=m$, we conclude that $n...

To find the natural response of a RLC circuit driven by a time-varying voltage, why do we assume that there's no forcing voltage driving the circuit even if there is one?

How natural selection leads to speciation?Speciation is a process of making a new species ,right? Natural selection just select one organism from a bunch of organisms of the same species to survive ,so how does it leads to creation of a new species?For example in an area covered with snow ,white...

Homework Statement A simple pressure relief device is shown in Figure Q6.1 below. It consists of a piston of mass 0.5 kg and thickness 3 cm sliding without leakage or friction into a cylinder of diameter 5 cm. The bottom section of the cylinder can be exposed to a varying source of pressure...

What is the state of carbon just prior to it forming a diamond, deep in the Earth's crust ? Carbon vapour , or liquid carbon ?.Update: I think I've managed to answer my own question ... http://www-als.lbl.gov/images/stories/Science_Highlights/Highlights/108carbon1.png...

I need a proof that the set of natural numbers with the the relationship of divisibility form a distributive lattice with gcd as AND and lcm as OR. I know it can be shown that a AND (b OR c) >= (a AND b) OR (a AND c) for a general lattice, and that if we can show the opposite, that a AND (b OR...

Ok, so there is a little discussion going on in my circle of associates at the moment regarding rope break dynamics: http://esinem.com/news/rope-friction-break-tests If you watch both videos, you can see that some ropes (usually the synthetic ones) will saw through the static bight of the...

Hi, In the first place I want to apologize for my bad English. In the second, I have a concept doubt, If I make natural light to go on a linear polarizer of angle 0º, the intensity, or irradiance here, It would be I0/√2 and it's Jones vector would be (1, 0) (as column). What would happen If I...

is there a difference between natural frequencies, normal frequencies, and resonant frequencies? Any subtle differences? I've seen them used at different times, and I've also seen at least two used in a single sentence implying some kind of difference. For example, "[FONT=Book Antiqua]Natural...

What is the natural force of a 25kg block that is not moving?F=ma, g=9.81m/s^2 Attempt: (25kg)*(9.81m/s^2)= 245.25kg ?

Hello fine. I'm studying logic and great difficulties to understand its principles, and should prove some theories involving the laws of identity of sets of mathematics using the method of natural deduction, they are: a) A ∪ ∅ = A b) A ∩ ∅ = ∅ I am trying as follows, but I can not solve...

In John Stillwell's book: Elements of Number Theory, Exercise 6.1.3 reads as follows: ------------------------------------------------------------------------------------------------- Show that $$\mathbb{Z} [ \sqrt{n}$$ has infinitely many units for any non-square natural number n...

Let k(x) be the curvature of y=ln(x) at x. Find the limit as x approaches to the positive infinity of k(x). At what point does the curve have maximum curvature? You're supposed to parametrize the graph of ln(x), which I found to be x(t)=(t,ln(t)). And you're not allowed to use the formula with...

An electromagnet weighing \(3000\) lb is at rest while holding an automobile of weight \(2000\) lb in a junkyard. The electric current is turned off, and the automobile is dropped. Assuming that the crane and the supporting cable have an equivalent spring constant of \(10000\) lb/in, find the...

Homework Statement from -lnIxI to lnI x^-1I , I try to go from -lnIxI to lnI x^-1I by using some properties. Homework Equations - lnIxI The Attempt at a Solution First I write the -lnIxI as -1*lnIxI and then I use -1 as an exponent to absolute value of x in the natural log that is ln (...

Homework Statement Integrate (-m-kx)^-1 dx from a to b. The Attempt at a Solution So using the integral form I get the integral of (-m-kx)^-1 dx is (-1/k)*[ln(-m-kx)] with the bracketed expression being evaluated between a and b. (-1/k)*[ln(-m-ka) - ln(-m-kb)] My first...

A heavy machine weighing \(9810\) N is being lowered vertically down by a winch at a uniform velocity of \(2\) m/s. The steel cable supporting the machine has a diameter of \(0.01\) m. The winch is suddenly stopped when the steel cable's length is \(20\) m. Find the period and amplitude of the...

The natural frequency of a spring-mass system is found to be 2Hz. When an additional mass of 1kg is added to the original mass \(m\), the natural frequency is reduced to 1Hz. Find the spring constant \(k\) and mass \(m\). Since the natural frequency is 2Hz, we have that \(\omega_n = 4\pi =...

Hi, I am trying to understand how one determines the natural linewidth. On my assignment, I am only given an energy (589.1 nm transition in sodium). I have two sources that I have found that seem to contradict each other: Source 1: Slides 5 and 6 Source 2: Hyperphysics If I plug in...

Except E.Coli that are lactose intolerant, are there any other species that are xxx intolerant in nature you have experimented with ?

Hello smart people! I was having some troubles proving this derived rule using Natural deduction: ¬(∃y.Q(y) ∧ T(y)) ------------------------ ∀x.Q(x) → ¬ T(x) I got stuck in the very first line, because of the "NOT". I can't do anything if I don't take it out of there... I know...

Homework Statement p⇒¬q,q∨r⊢p⇒r, prove this using rule of natural deducton Homework Equations The Attempt at a Solution My approach is this. 1.Prove that qvr⊢¬q⇒r. 2.Assume p 3.By modus ponen, p⇒r But the problem I face is how to prove step 1.

Why are we not supposed to operate a machine on its natural frequency condition? I read max. energy transfer happens at this condition. What exactly does it mean? When we swing a pendulum it just oscillates on its natural frequency. Nothing goes wrong there. So what makes it different for a...

Hello I am looking for scientific research done on the topic of "what is more important to success: talent or hard work?" I've been plagued all my life with the idea that "since I have a very good talent I don't need to work much". It backfired really bad. So I would like to ask if anyone...

How do I calculate the natural frequency of vibration of a rectangular plate of Al-6061, having dimensions 100 x 80 mm? The plate is fixed at four corners. Thank You

I'l start by saying that I'm not a creationist or something like that, I fully support evolutionism and the scientific approach. However, while natural selection can powerfully explain the traits of all current species, it can be hard to understand why if this is the mechanism driving...

If you have two hydrogen atoms as your system, then you use the many body schrodinger equation for 2 protons and 2 electrons. The coulombic repulsion between the two atoms is built into the SWE, so is there a range of different possible magnitudes for the repulsion? If so, does the system decide...