Composite Definition and 378 Threads

I just read http://www.newscientist.com/article/mg20327224.400-why-large-carbonfibre-planes-are-still-grounded.html" article and I had to ask something. Will the 787 have to go through a de Havilland Comet phase in order to be perfected? I mean, how do we know the composite airframes won't break...

Homework Statement http://img21.imageshack.us/img21/8175/46521897.jpg The Attempt at a Solution I think I have a starting point, but I'm not 100% sure Basically I thought of just computing grad(f(α(t)) · dα/dt and showing its equal to zero. Am I on the right track, or shall I try...

Homework Statement Find the derivative of the function: cos(x)^(cos(cos(x))) Homework Equations The chain rule The Attempt at a Solution I know how the chain rule works, and I've done many problems with composite functions. However, I just don't know where to start with this one...

Homework Statement \int\sqrt{40t^2+e^t^2}dt That should be e^t^2. How would I go about doing this?

On http://en.wikipedia.org/wiki/Aurora_(astronomy ), about 1/2-way down the page, there is an image of, quote, "Aurora australis (September 11, 2005) as captured by NASA's IMAGE satellite, digitally overlaid onto the The Blue Marble composite image." Next to it, there is a rolling video of...

Homework Statement Use the composite trapezoidal sum rule to evaluate I = integral from 0 to 1 of: (exp(x)-1)/x At x = 0 the integrand evaluates to 1. Select the step size h in order to guarantee an approximation error less than 10e-5. Carry out your calculation with at least 10 decimal...

Some years ago I used the device of representing composite numbers by rectangular forms to demonstrate the structure of numbers to third grade students. Primes were represented by lines of various lengths. Number 10 would be a 2x5 rectangle and 20 a 2x2x5 rectangular solid. (I used various...

How masons can be massless while their composites quark (q) and antiquark (\bar{q}) are both massive? Is there any clear physical scenario to understand this?

Homework Statement http://www.apeg.bc.ca/reg/past-exams/documents/May2005-98-BS-6.PDF Page 3 - Question 2 Except that let M=60 N.m (instead of 75) Homework Equations Transformation Equations: Z = z * E / E(ref) The Attempt at a Solution Transforming the composite bar to a...

Hello :smile: I was wondering if someone could check my working and answers to these three homework questions. I've done the inverse functions in class, but not the composite inverse functions, if that's what they're called. Homework Statement...

Homework Statement "A polymer, with Young’s modulus 2GPa and yield stress 50MPa, is reinforced by uniaxially aligned glass fibres which have Young’s modulus 70GPa and fracture at 1400MPa. The volume fraction of fibres is 40%. (a) Calculate Young’s modulus for the composite in the...

Homework Statement What is the maximum angle you can rotate the cone before the scoop falls out? Assume that the scoop of ice cream acts like a perfect sphere and does not stick to the cone. calculated already that the center of mass is located at z = 5.02 Assume that the scoop of...

Hi, I have an aluminium/lead composite material with density of 8,3 g/m^3. How do I find volume/volume and weight/weight persentages of aluminium and lead in the material, if the masses of the composites are not given? The volume of the material is also not known. Thanks.

Homework Statement : discuss continuity of the composite function h(x)=f(g(x)) when A} F(x)=X^2 , g(x) = x-1 B} f(x) = 1/x-6 , g(x) = X^2+5 where should I start ?

Advice needed for composite... Hello guys. Newbie here this is my first post ;-). I am a 2nd year Eng. Mech. Univ student. An assignment for one of the credits is to design a composite material (made up of 2 materials)of rectangular section width 30mm and thickness 20mm, length 400mm. The...

Homework Statement A disc of mass m is moving horizontally to the right with speed v on a table with neglibible friction when it collides with a second disc of mass 2m. The second disc is moving horizontally to the right with speed v/2 at the moment of impact. The two disc stick together upon...

In a urine sample (Relman JCI 1961) urine is analyzed. We have a [Na] of 132 mmol/l, K of 62.7 mmol/l, Cl of 182 mmol/l, sulfate of 21.2 mmol/l and some other minor species. The ionic strenght is about 0.22 - now I need to compute the Na+K-Cl-2*SO4. So the ionic strength is higher than 0.1, but...

Homework Statement Let T1 be the reflection about the line 2x–5y=0 and T2 be the reflection about the line –4x+3y=0 in the euclidean plane. (i) The standard matrix of T1 o T2 is: ? Thus T1 o T2 is a counterclockwise rotation about the origin by an angle of _ radians? (ii) The...

If two boson are each composed of two identical fermions in opposite spin states, can the composite bosons occupy the same state? If so wouldn't that cause their fermions to also occupy identical states? (Certainly, they can't occupy four different spin states, can they?)

Suppose we are given that d --F(y) = f(y) dy Then is it true that dF(h(u)) -------- = f(h(u))[/color] dh(u)/du ? du Why or why not? In particular, I don't understand how to get the red part... Thanks for explaining!

What is the actual meaning of the notation of df[g(x)] ------- dx Here do we actually differentiate f with respect to x first and then evaluate it at g(x), or do we first evaluate f at g(x), then differentiate it with respect to x? Does the order matter? df --[g(x)] dx d...

Homework Statement Let F(z) = a0 + a1z-1 + a2z-2 denote the composite transfer function of the transmitter, channel and the matched filter in this ultra wide band system. Find a two tap digital equalizer Heq(z) = w0 + w1z-1 that approximates an IIR zero-forcing equalizer for F(z)...

Homework Statement A reversible composite heat engine operates between three reservoirs at temperatures of 400K, 300K and 200K. One engine operates between the 400K and 300K reservoirs and a second engine operates between the 300K and 200K reservoirs and is synchronised with the first. In...

Homework Statement Use proof by contradiction to show that every integer greater than 11 is a sum of two composite numbers. The Attempt at a Solution The question sounds a bit awkward for me since for the numbers I have tested so far. The number can be consists of 1 prime 1 composite or...

Let f:X->Y and g:Y->Z be functions. Suppose A is a subset of Z. I'm wondering whether (g [SIZE="1"]o f)-1(A)=f-1(g-1(A)). I'm lost as to where to go with this problem. I know I need to do something using images, but manipulating the inverses of composite functions is proving to be very...

Hey guys, Im a bit baffled on this one. I have been told to perform the following integration: \int y dx from -1 to 14. I have been given some values of x and the corresponding values of y. I just have one question, the fact that it is y dx is throwing me off. The trapazoidal rule...

Can anyone help me solve this question?? Given f(x) = x2- 16 and g (x) = √x-3, find f(x) - g(x), g(x)/f(x), f(x)g(x) and (fog)(x) and state their domains.

The way I am being taught in my course is that instead of !s_1= 1/2, m_1 =1/2 ; s_2= 1/2, m_2 =1/2 > = !+ + > !s_1= 1/2, m_1 =1/2 ; s_2= 1/2, m_2 =-1/2 > = !+ - > !s_1= 1/2, m_1 =-1/2 ; s_2= 1/2, m_2 =1/2 > = !- + > !s_1= 1/2, m_1 =-1/2 ; s_2= 1/2, m_2 =-1/2 > = !- - > We have...

A photon annihilates into an electron and a positron (both having spin 1/2). The reverse process is also a reality. Can the photon therefore be viewed as a composite of an electron and a positron having a total spin 1?

Considering the composition of two functions ƒ · g If g is even then does this mean that ƒ · g is even? why? Or if g is odd and ƒ is even, then ƒ · g is even? How can we show these statements? Thanks.

Homework Statement Write an algorithm and Matlab function JN, which uses the Composite Trapez- ium Rule (CTR) to compute an approximation of the integral f(x) dx for an arbitrary function f of one variable. The inputs should be a, b and N (the number of subintervals), and f (the name of a...

Let f(x)=g(h(x)) where h(2)=3 h'(2)=4 g(3)=5 g'(3)=5 find f'(2) Attempt at a solution I tried to used the product rule, but I don't think composite function are the same as multiplying. Does anyone have any suggestions??

Could anybody help me check whether my judgements ture or false? (MJ = My Judgement) Suppose f maps A into B, and g maps B into C 1. If f and g are injective, then g\circf is injective; (MJ)but that when g\circ f is injective, the injectivity of f and g are unsure. 2. If f and g are...

Hi, I am trying to analyze a composite part which is made of carbon/epoxy and has [+45/-45]2s as the layup. I got the following material properties for carbon/epoxy from the textbook "Engineering Mechanics of Composite Materials", by I.M. Daniel & O. Ishai, Longitudinal Modulus, E1=147Gpa...

Efield in Composite Wire..Pls help! Homework Statement A 2.0m length of wire is made by welding the end of a 1.2m long silver wire to the end of an 0.8m long copper wire. Each piece of wire is 0.60mm in diameter. The wire is at room temperature. A potential difference of 5.0V is maintained...

Homework Statement A Concrete column 2M in height 100mm in diameter and containing four steel rods each at 15mm diameter calculate the stress and the amount the column is compressed due to the load of 9Kn. the modulus of elasticity for the concrete (in this case) is 20GPa and for the steel its...

Sorry.. I know this is really simple.. I have 3 composite video signals, and switches to select between them. The switches I have are SPCO, so I can't just use another pole for the switch voltage. So, I need a way of detecting the video, and this switching on and LED. At first I...

Homework Statement Dear friendes, I have just measured the strain of a composite plate at it's surface. It was an impact test. I have only epslon x. How can I find the plate defection? Plate size is equal to 10*10*0.2 cm. Homework Equations The Attempt at a Solution

Dear Folks: I have been experimenting with composite conductor materials for a while, but have had little success with getting conductivity below 200 ohms/cm. Polystyrene gel is easy to make and offers recycling opportunities, so I have been using this as a starter binder. Found that if...

Homework Statement Let f: X\rightarrowY and g: Y\rightarrowZ be functions. Prove or disprove the following: if g\circf is onto and g is one-to-one then f is onto. Homework Equations N/A The Attempt at a Solution I'm honestly not sure what to do with this. I believe that the...

If i had an even fuction and i applied another even function to it, would the end result still be even? Other questions follow the same pattern, if i had an odd function and applied another odd function to it, would it still be odd? And suppose i had an even function and applied an odd...

When is the following true? f(lim_{n\rightarrow\infty}\ g_{n}(x)) = lim_{n\rightarrow \infty}\ f(g_{n}(x)) Does anyone know of a textbook that discusses this?

Composite doubt... Composites are so cool and they make me go wild... I have the composite paper only in my 6th semester and I am only in 3rd semester... I was wondering if there are any online calculators to check out the properties of composites. I want to work out with various combinations...

Find the value of (f o g)' at the given value of x. f(u)=u^5+1, u=g(x)=sqrt x, x = 1 So I found the derivate of f(u) & of u. f'(u)= 5u^4 & u'= 1/(2sqrt x) Then I plugged 1 in for x in u' & got 1/2. What I don't understand is why I can't just then plug 1/2 in for u & solve...

Integration of a composite square root function, easy (hard for me :( ) Homework Statement How would I integrate: y = \sqrt{(1 + 4x^2)} Homework Equations - The Attempt at a Solution I have no idea how to do this. I tried to to the chain rule in reverse, and then I ignored it, but I can't...

Homework Statement Given f(x) = 3/x-7 and g(x) = x^2 + 5x find each funstion below (f/g) (x)Homework Equations The Attempt at a Solution Okay so I think I have most of these steps but I think the only thing I'm missing is the factoring, which i sort of forgot over the summer. take it easy on me...

Iron 97.05% Mangenese 1.56% Chromium 0.79% Silicon 0.6%

Homework Statement The composite string consists of two strings having lengths of l1 and l2, and linear densities \rho1 and \rho2 Find y_{r} / y_{i} in terms of l1 and l2, and \rho1 and \rho2 Homework Equations y_{r} is the wave reflected from the "interface" of the two strings, and y_{i} is...

Hello, can anyone kindly tell me about the use of composite in biomedical field? And what are those composite product, and the materials name? your help is greatly appreciated, thanks a lot ^ ^

Hello, anyone of you have any ideas for this question? What are the use of composites in the biomedical field and future new product of it. your reply is greatly appreciated, thanks:smile: