Natural Definition and 1000 Threads

Multiples of natural frequency?? Hi all! I am a little confused. Why will an object not resonate with multiples of its natural frequency? I think due to the reason that through its multiples, it will not return (even if temporarily) to its natural state...am I mistaken?? Thanks in advance...

What happens if the frequency of the forced oscillation is Pi / 2 radians out of phase of the natural frequency of the spring mass system? I guess this makes the amplitude of the spring mass system to oscillate at a maximum amplitude.. Am I correct? Thanks in advanced..

A letter in the current issue of Nature: ==quote== A two-solar-mass neutron star measured using Shapiro delay P. B. Demorest1, T. Pennucci2, S. M. Ransom1, M. S. E. Roberts3 & J. W. T. Hessels4,5 National Radio Astronomy Observatory, 520 Edgemont Road, Charlottesville, Virginia 22093, USA...

Not sure if I've posted it on the correct thread but I don't think this classifies as advanced physics! I'm currently doing a physics assignment where we have to choose an energy source for a town in Australia (Broome). I am choosing to use a combined cycle gas turbine with natural gas as...

Does natural selection apply more to information in general than just to genetics?

Lets define D1(n) to be the first digit of a natural number n, e.g. D1(571) = 5, D1(119) = 1, ... Naturally one would expect that all digits come with the same probability 1/9, but looking at it in more detail one finds rather counter-intuitive results. If one counts these digits and...

Homework Statement Let (xn) n ∈ N, be a succession. Construct a function F: [0,plus infinity[ to Rn (if possible continuous) whose restriction to the naturals is (xn) n ∈ N, ie xn = F (n) for all n ∈ N, and such that ∃ limx → + ∞ F (x) = L if and only if ∃ Limn → + ∞ xn = L The Attempt at a...

I was trying to figure out the relation between the equation of a discharging capacitor and the Natural Inverse Exponent function v(t) = Vo*e^(-t/rc) A*e(-Ct)+B I get that A represents the voltage and the C is the inverse of the time constant but i can't figure out what the B stands for

Since my late interests have been related to networks, I've started a pet project focusing on natural numbers network. I wanted to share my early explorations with this community since you have the proper background to interpret the results. I chose this network exactly because compared to...

Homework Statement prove the identity. ln csc(x) = -ln sin(x) The Attempt at a Solution With a calculator I am able to prove it is in fact an identity, but I have NO clue why? In fact I am quite unclear on logarrithms in general as my algebra class just barely covered them and...

IQ is supposed to be the measurement of your "natural intelligence." IQ is supposed to be the measurement of your "natural intelligence." However, can your IQ vary on how much brain activity you're doing? For instance, during the Summer a person is lazy and not doing any studying or anything...

Is Card (N even)< Card (N)? Where N even is set of all even Natural numbers, N is set of all Natural numbers. Hint: use the mapping from N eve→Nn N even to N is given by n-->n a. Show examples of this mapping from N even N even to N. b. Is the mapping above onto? One-to-one? My try...

Homework Statement Let T be a family of finite subsets of the natural numbers N = {1, 2, 3,...} such that if A and B are any members of T, then the intersection of A and B is nonempty. (a) Must N contain a finite subset F such that the intersection of A, B and F is nonempty for any sets A...

Does this thing works?

So I am not quite sure how to solve for x here. 1.2E-21=(.3567)(ln(x/.175))

Homework Statement Show that if n belongs to N, and: An: = (1 + 1/n)^n then An < An+1 for all natural n. (Hint, look at the ratios An+1/An, and use Bernoulli's inequality) The Attempt at a Solution I think i have a vague idea of what to do here, like I am sure induction is involved in this...

Homework Statement Every triple of consecutive odd natural numbers, with the first being at least 5, contains at least on composite. Homework Equations N/A The Attempt at a Solution I know from number theory that of every set of consecutive odd integers, one of them is divisible...

Hello.. Am an Electrical Engineer, my FYP concerns the artificial limbs... I made a small research about the nervous messages, and how it flows from the brain until it reaches the muscles. In the arm i found that there are 3 nerves (Ulnar, Median, and Radial nerve) which are responsible for arm...

I'm going to do a little popular-level talk for undergraduates (not necessarily science majors) on baby universes, cosmological natural selection, and Penrose's cyclical universe. The most recent substantive paper I have on CNS is this: Smolin, "Cosmological natural selection as the explanation...

Homework Statement Evaluate the integral when x > 0: indefinite integral of ln(x2+19x+84)dxHomework Equations I know I need to use some form of integration by parts: integral of u*dv=uv-(integral of(du*v)) The Attempt at a Solution I began by making u=ln(x2+19x+84) and dv=dx. Thus, (after...

the question is: differentiate wiith repsect to x: (ln(5x))^1/5 i differentiated and got : 1/5ln(5x) y'=1/5x I don't think this is correct. The answer should be ln5/5. Can anyone help me? chanella

Homework Statement ln(3x+1) = 3-lnx Homework Equations Solve for xThe Attempt at a Solution Well I put the ln on the left side ln(3x+1)+ln(x) = 3 Then I combine them ln ((3x+1)(x)) = 3 So I take e e^ln(x(3x+1)) = e^3 I get x(3x+1) = e^3 So I divide the x (3x+1)/(x) = (e^3)/(x)...

Hi All, I have been trying to understand some fluid mechanics in a research paper and have been wrestling with the mathematics for quite some time now without success. I want to derive gradient operator with following coordinate system in R^3 space Let and arbitrary curve C be locus of...

Seems like a silly question, but a search of the forum and Google and my online textbook yielded no results (*shakes fist at textbook writer). Please help?

what imean by natural is...u know how motts comes in regular and natural? well i bought the natural kind..but i bought store brand. if i wave my hand behind the bottle i can barely see it...(the shadow of it) with gatorade i can see it much clearer..but idont like gatorades... one site...

the question is simple but i can't seem to think of a solution. for what b>0 does ln(x)=b x^{2} have exactly one solution, and not 0. I've tried playing with ln rules but can't seem to think of a solution

I have a quick question about the units used in high energy physics. In natural units, c = h = 1, but I keep seeing time referenced as t=\frac{1}{m^2}. I figure there's 2 h-bars on top but that still leaves s^2. Can someone straighten me out here? Thanks!

(Is there one?) What is the Earth's natural resonant frequency?

Homework Statement Let m be a natural number. Find the flaw in the statement below. Explain why the statement is not valid, and change one symbol to correct it. "If T is a set of natural numbers such that 1) m \in T and 2) n \in T implies n+1 \in T, then T = {n \in N : n ≥ m} Homework...

Hello, I am having some problems with COMSOL multiphysics 3.5a. I am using 2D weakly compressible flow with general heat transfer and am trying to model a natural convection loop. The Approach I have taken is to use properties of the material for a certain range of temperatures to...

Hello, Consider x \in (0,1) , that is x between 0 and 1. Can someone explain why the following is true: \frac{x-1}{x+1} = \tanh \left( \ln \left( \frac{x}{2} \right) \right)

Homework Statement The difference between cubes of two natural numbers is 208. Which are those two numbers?Homework Equations -The Attempt at a Solution Here is how I set it up. x\widehat{}^{}3 - (x-y)\hat{}3 = 208, which leads to ... x\hat{}2(3y) + x(-3y\hat{}2) + (y\hat{}3 - 208) = 0 I...

I am having trouble deciphering the difference between consciousness and and unconsciousness. If Consciousness is an illusion created by electrical signals that project what we call reality, would this mean if it seased to exisit so would life? and would we lose natural instincts such has...

there are a lot of natural preservatives. vinegar, alcohol, sugar, salt, oil. what is the best? Is there any predominant research about this topic?

I'm looking for a list of "natural" frames of reference on the cosmic scale. Something that can be used as "the" frame of reference for everyone in the universe that isn't arbitrary. So let's brainstorm about some potential candidates. The more the better. If need be, start with an idea and...

I have this circuit that I have attached with the question, Its given that V=100 V, R1= 30, R2= 70 and R3 = 3. L = 1/11 H The switch in the circuit represents a current operated relay, the contact of which close when current through inductor is 0.9 A and opens again when current is 0.25 A...

"Natural Laws" and their domain of validity What is the philosophical justification for extending observed phenomena to "laws of nature". For example, Galileo dropped massive objects and saw that they fall at the same rate, but to then say that all massive objects fall at the same rate requires...

Homework Statement A body of arbitrary shape has a mass m, mass center at G with a distance of D and a radius of gyration about G of K. It is hanging, and pinned at the top. If it is displaced a slight amount of angle P from it's equilibrium position and released, determine the natural period...

I happened to sit in a presentation where the presenter displayed 2 separate values for resonant frequency and natural frequency. It was my understanding that the both are same and now I am in doubt. Please explain - if there is and you know - the difference between resonant frequency and...

Well, i stumbled across this paper HERE: www.wbabin.net/science/znidarsic3.pdf He claims to have found a way to CALCULATE the plank constant, calculated the Energy levels in the hydrogen atoms through totally classical approach and some kind of velocity of a transition state between quantum...

Find the height or length of these of these natural wonders in kilometers , meters , and centimeters . (a)The longest cave system in the world is the Mammoth Cave system in Central Kentucky. It has a mapped length of 384 miles (b)In the United States , the waterfall with the greatest...

When I first awaken, I often feel groggy. But as time goes on I feel more awake and alert(even without coffee, etc...) What changes in my body that makes me more alert? Hope that's not a silly question.

Homework Statement the inverse laplace transform of ln\frac{s+2}{s-5} using the inverse Laplace transform of the derivative Homework EquationsL^{-1}{\frac{d^{n}}{ds^{n}}F(S)} = (-1)^{n}t^{n}f(t) The Attempt at a Solution the integral of ln\frac{s+2}{s-5} I worked to be (s+2)ln(s+2)-(s+2)...

Homework Statement integral of secxtanx/secx -1 Homework Equations sec u du = ln |sec u +t an u | + c The Attempt at a Solution sec u +tan u | + c

Homework Statement the problem is in the attached file, I am having trouble with part d and e. cheers. [the answer for B is mr^2(0.5-16/9pi^2)] Homework Equations The Attempt at a Solution i won't upload all my working as i have stuff everywhere but for part d: i got my...

Homework Statement using the following definition: ln x = \int dx/x, give best possible upper and lower estimates of ln n, n a positive integer. then, use this result to show that the limit of the function as n approaches infinity is infinity. Homework Equations -- The Attempt...

Homework Statement ∫tan^2(2x)/sec2x dx; u=sec2x; du=1/2tan^2(2x)dx. Homework Equations ∫1/x(dx)-ln|x|+C. ∫1/u(du)=ln|u|+C The Attempt at a Solution This is me trying to rewrite the equation. (sin^2(2x)/cos^2(2x))/(1/cos2x), (sin^2(2x))/(cos(2x)). Honestly, I feel lost trying to...

Hi! I have experimental data measuring losses across an obstruction in compressible flow which basically consists of static pressure, total pressure and total temperature upstream of the obstruction and the same variables downstream for a number of different mass flow rates. This data was...

I have estimated some transfer frequency functions of complex mechanical suspension. It is shown the gains reach a very high value at a 0.8Hz. How could i know if the 0.8Hz isthe suspension natural frequency?

Homework Statement CONSIDER A SITUATION AN ELECTRON SAY MOVING ON THE SCREEN OF UR COMPUTER FROM BOTTOM TO TOP . SUDDENLY A MAGNETIC FIELD IS SWITCHED ON OUTWARDS TOWARDS YOUR FACE FROM THE SCREEN . NOW VISUALISE THE MOTION OF ELECTRON SURELY A ANTI CLOCKWISE CIRCLE { AN ELECTRON IS...