Analysis Definition and 999 Threads

Small caliber guns have higher magnitude at higher frequencies and larger caliber guns have higher magnitude at lower frequencies. is this true ? because I am not see this in my test: that is the fft of a 9MM gun, As one can see there are low magnitudes at low frequencies and higher...

Hi, I am looking for some guidance on a problem I am trying to solve on laminate analysis. This is a flat laminate (9 plies with a thickness of 0.125mm) of unidirectional carbon fibre reinforced plastic with a stacking sequence of: 0/60/0/-60/90/-60/0/60/0. Ply properties are as follows: E1 =...

Hello everybody, I'm currently helping a friend on an assignment of his, but we are both stumbled on this exercise, I'm posting it here We define a function ##f## which goes from ##\mathbb{R}## to ##\mathbb{R}## such that its argument maps as $$ x \mapsto...

I am working on a problem, where I have arrived at the following nonlinear state space equation: dx1/dt = x2; dx2/dt = c11 x1 + c21x2 + c31x3 + c41x4 + c51x1x22; dx3/dt = x4; dx4/dt = c12 x1 + c22x2 + c32x3 + c42x4 + c52x1x22; c11, c21, c31, c41, c51, c12, c22, c32, c42, c52 are all a function...

So I always thought that geometry is somewhat different from the rest of math. I mean, most of math is about numbers and relations. While geometry is about space. Does analysis connect the two? For example, the hypotenuse of a triangle is just a truncated portion of the number line that has...

1. Homework Statement The circuit is driven by a voltage source, Vs(t)= 8.2 cos(1.8 t − 0.25 )V . The circuit elements are given as follows. G1= 5 S,G2= 7.6 S,G3=3.8 S (Gi is the conductance of corresponding resistor Ri) L1= 20 H,C1= 5×10−2 F If we select Node 4 as the reference node...

Homework Statement I need to use mesh analysis to find the three currents: Homework EquationsThe Attempt at a Solution The answers are I1= -1.25A, I2=0.125A and I3 = 1.125A I don't know where I messed up for I3

Dear Forumers, This question is about load-line analysis for loudspeaker driver magnetic circuits in FEMM 4.2 (Finite Element Method for Magnetics), I can't seem to get an answer from the mailing lists. I would like to get the permeance coefficient for random points inside the magnet. I have...

Hi all, I am quite confused by the forces relating to a horizontlly placed spring when someone directly exerts a force to the compress it. If I exert a force F to the right to compress the spring, which, say, is placed against a wall, the spring exerts an elastic force on me but I don't see how...

Is there a formulation of any of the relativity theories in terms of complex analysis? As in - I imagine - every event would be a complex number in a complex field.. or something as such..

Homework Statement For beta = 100 and assuming ro is very large, what is the DC voltage at the collector? Homework Equations IB = IE(β+1) IC = β*IB The Attempt at a Solution Since IE = 0.5mA, IB = 0.0505 A Then, IC = 5.05 A (which doesn't feel right) VC is the same potential across the 30kΩ...

What is the contribution of Eint to the output voltage Vout? Homework EquationsThe Attempt at a Solution To calculate the contribution of Eint, I removed the other two voltage sources. Then, I divided them into three potential dividers, giving me: Vbody= (ZC2/ZC2+ZC1) x Eint...

Homework Statement This particular question has been raised in past posts and I have studied those posts but unable to take anything from them. Basically the question comprises 2 parts. Part A requires us to find the current through "I" using mesh analysis. By studying some of the posts on...

I have this problem with a complex integral and I'm having a lot of difficulty solving it: Show that for R and U both greater than 2a, \exists C > 0, independent of R,U,k and a, such that $$\int_{L_{-R,U}\cup L_{R,U}} \lvert f(z)\rvert\,\lvert dz\rvert \leqslant \frac{C}{kR}.$$ Where a > 0, k...

I have been trying to show that $$\lim_{U\rightarrow\infty}\int_C \frac{ze^{ikz}}{z^2+a^2}dz = 0 $$ Where $$R>2a$$ and $$k>0$$ And C is the curve, defined by $$C = {x+iU | -R\le x\le R}$$ I have tried by using the fact that $$|\int_C \frac{ze^{ikz}}{z^2+a^2}dz| \le\int_C...

Hi all, I have been simulating the following rhombus compliant mechanism using Ansys Modal analysis to have a quick understanding about its mode shapes,,,, the problem is that the deformation is extremely large you can see this as the scale is (*10^-5 ) . This result is for sure unrealistic but...

Hi all, I am currently in my first semester of my sophomore year, taking Real Analysis I. This class covers formal proofs, properties of the real line, sequences, series, limits, continuity and differentiation, and Riemann Integration. I apparently got stuck with the worst professor at my...

Hello everyone, I am interested in analyzing sounds (both spectral plots and time plot). What type of hardware would I need? There are a lot of free softwares online... Are there educational hardware tools that are not too expensive? thanks!

If we can use Regression analysis to forecast, why do we use “Time Series Decomposition”? What's the difference between the 2? Thanks

Homework Statement Find the differential equation for Vo Homework Equations KCL The Attempt at a Solution At node v1: ##\frac{V_1-V_{in}}{R_1}+\frac{V_1-V_p}{R_2}+C_2(\dot{V_1}-\dot{V_2})=0## At node vp: ##C_1\dot{V_P}+\frac{V_P-V_1}{R_2}=0## At node vn...

I am using Lang's book on complex analysis, i am trying to reprove theorem 4.1 which is a simple theorem: Let Compact(S \in \mathbb{C}) \iff Closed(S) \land Bounded(S) I will show my attempt on one direction of the proof only, before even trying the other direction. Assume S is compact Idea...

I am trying to perform a simple simulation in ANSYS WB Mechanical. Description is given below in image, thickness of the plate is 5 mm. Problem is I am unable to decide which type of support should I provide for this.

Homework Statement consider ##f## a meromorphic function with a finite pole at ##z=a## of order ##m##. Thus ##f(z)## has a laurent expansion: ##f(z)=\sum\limits_{n=-m}^{\infty} a_{n} (z-a)^{n} ## I want to show that ##f'(z)'/f(z)= \frac{m}{z-a} + holomorphic function ## And so where a...

Assuming that a TLP platform is examined and the wave forces acting on the tendons of the mooring lines are presented in RAOs (as a function of wave frequency). Using Jonswap spectra for North sea (i.e peakness factor equal to 3.3) we can obtain Hs (significant wave height); Tp (peak period) and...

Homework Statement Homework Equations Torque and Newton's 2nd Law Equations The Attempt at a Solution Apart from drawing a free-body diagram, I couldn't do much else. I can't seem to find the source of torque causing the car to rotate clockwise about its pivot (i defined it as the right...

Are Unruh radiation and Hawkins radiation manifestations of the same basic phenomenon?

Homework Statement Reduction from top network to bottom network in the screen shot. I can not find the steps that have been taken to do this. Fault impedance = Zfa = Zfb = Zfc = j0.5 Homework EquationsThe Attempt at a Solution in hand written screenshot, sorry for the mess, just to show it...

Hello! 1. Homework Statement I need to find the instantaneous height of a liquid during the simultaneous filling and emptying (through a hole) of a cylinder. I have varying Qin at incremental time of 1 sec. with cylinder area=5 cm and orifice area=0.5 cm. Homework Equations Torricelli's...

Homework Statement Vs = 100cos(2000t) Homework Equations KVL, KCL The Attempt at a Solution My mesh equations are: -Vs + I1(30-12.5j)-I2(120j)=0 4Ix+I2(120j+20)-I1(120j)=0 Ix = (I1-I2) Are these correct? When I solve I get a different result than when I do nodal analysis.

lets say for example, the air drag (ϑ) that wind exerts on a tile is a function of the tile's width (w), height (h), viscosity of air (μ), density of air (ρ) and velocity of the air (V) then ϑ = f(w,h, μ, ρ, V) ϑ : MLT-2 w: L h: L μ : ML-1T-1 ρ: ML-3 V: LT-1 I understand there are 3 basic...

Suppose u(x,y) and v(x,y) are harmonic on G and c is an element of R. Prove u(x,y) + cv(x,y) is also harmonic. I tried using the Laplace Equation of Uxx+Uyy=0 I have: du/dx=Ux d^2u/dx^2=Uxx du/dy=Uy d^2u/dy^2=Uyy dv/dx=cVx d^2v/dx^2=cVxx dv/dy=cVy d^2v/dy^2=cVyy I'm not really sure how to...

I'm testing a part for fatigue, and I got a time series of Forces and Moments on three different parts of the body (A wind turbine hub). From the static structural fatigue analysis, I noticed that you need a von mises stress input - that's not a problem. My problem is, how do I place different...

Homework Statement Homework Equations V=IR All of them actually The Attempt at a Solution So I Started off by transforming the voltage source into the 's' domain vs(s) = (4/s) -(4/s)*e-.5t I know the initial conditions are zero, in other words at t=0, the voltage and currents at the...

Homework Statement [/B] All voltages and impedances are in per unit values. After all the source transformations, why is the voltage source still 1 ? Homework EquationsThe Attempt at a Solution [/B]

Homework Statement Homework Equations KVL The Attempt at a Solution This is the solution given: VB = (VCC*30k)/(70k+30k) = 3V Why is a voltage divider being used to find Vb?

Dear forumers, In advance, thank you for reading this post and helping me solving this. The problem is the following : I have a population (say, a bag) from which i take 3 samples. Each sample gets analysed once by a laboratory in order to know their concentration of a product. The result...

Hey everyone I'd be really grateful if anyone could help me out here, been going round in circles for two weeks now and I need to get going soon. Jumping right to the point, here's my problem: We are currently working on a student project and designing a Wind Turbine for future opensource use...

I have a document-word matrix and I need to do latent semantic analysis to match a query document with a set of key-words to the best possible match among other documents in the matrix. The matrix is in the form of documents-words occurrence array of 1 and 0 input. What is the best software I...

Homework Statement Find the: -Complex power delivered by source -Power factor of total load -Is the power factor leading, lagging, or in unity?[/B] Homework Equations KVL/KCL The Attempt at a Solution I want to solve this via mesh analysis to get currents. Mesh1: -10V + V1 + 0.75V1 = 0 V1 =...

Homework Statement Find power absorbed by resistor, capacitor and inductor. Find the total complex power absorbed by all the loads.[/B] Homework Equations KVL/KCL The Attempt at a Solution I want to solve this using Mesh analysis. There is a supermesh where the 5A source is, so I start it...

What is modal analysis and what are mode shapes. Plz explain along with a real life problem for better understanding

How can you use dimensional analysis to estimate the force between two plates, as a function of the area of the plates and their separation?

Hi everyone, I am a complete beginner when it comes to circuit analysis that involves anything more than a few resistors and capacitors. Currently, I am working on a project that requires the transmission and reception of IR signals to control a motor. I know the requirements for the motor I...

Homework Statement Find expressions for VL1, VL2, IC1, IC2 for each of the two intervals of a SEPIC converter under CCM operation. link: http://i.imgur.com/EY98QbC.png Homework EquationsThe Attempt at a Solution link: http://i.imgur.com/SskXRoC.jpg?1

The observation model will be ##z=H\theta+v##, where ##z## is column vector containing the results, ##H## is the observation matrix, ##\theta## is the parameter vector and ##v## is a vector containing random additive noise. b.) In this case ##z##=[1 1 0; 1 0 1; 0 1 1; 1 1 1]*[##m_1## ##m_2##...

Hello, I am taking a class in RA, where we're using Bartle/Sherbert. Since I have studied few chapters from it in the summer before, I decided to take a look at a more rigorous book, like baby rudin, but since many have advised against that book, I turned to Pugh's real mathematical analysis...

Homework Statement Find Vc(0) Homework Equations Nodal analysis The Attempt at a Solution

Hi Guys, The schematic What do you think the effect of changing the value of the output tube cathode capacitor from 50uf to 250uf would be? Also the original schematic showed 500K pots and other newer schematics show 1M pots. What do you think the effect of that change would be? Next...

Homework Statement Determine the output voltage Vo(t) in terms of Vs Homework EquationsThe Attempt at a Solution If I were to use Nodal Analysis to solve this, would these be the proper nodal equations?\frac{V1}{-j1.6} + \frac{V1-Vs}{175} = 0 \frac{V_{I2}-Vo}{10k} + \frac{V_{I2}}{1k} = 0

Homework Statement Find Va(t) using Nodal Analysis: Homework Equations Zc = 1/(jwC) Zl = jw*L The Attempt at a Solution W = 250 Z36mH = j9 ohm Z80mH = j20 ohm Z0.25mF = -j16 ohm (is capacitor impedance always negative? It says so in my instructor's notes but I forgot why) 20cos(250t) ->...