A composite material (also called a composition material or shortened to composite, which is the common name) is a material which is produced from two or more constituent materials. These constituent materials have notably dissimilar chemical or physical properties and are merged to create a material with properties unlike the individual elements. Within the finished structure, the individual elements remain separate and distinct, distinguishing composites from mixtures and solid solutions.Typical engineered composite materials include:
Reinforced concrete and masonry
Composite wood such as plywood
Reinforced plastics, such as fibre-reinforced polymer or fiberglass
Ceramic matrix composites (composite ceramic and metal matrices)
Metal matrix composites
and other advanced composite materialsThere are various reasons where new material can be favoured. Typical examples include materials which are less expensive, lighter, stronger or more durable when compared with common materials.
More recently researchers have also begun to actively include sensing, actuation, computation and communication into composites, which are known as robotic materials.Composite materials are generally used for buildings, bridges, and structures such as boat hulls, swimming pool panels, racing car bodies, shower stalls, bathtubs, storage tanks, imitation granite and cultured marble sinks and countertops. They are also being increasingly use in general automotive applications.The most advanced examples perform routinely on spacecraft and aircraft in demanding environments.
I was watching this video by minutephysics on the No-cloning theorem.
Henry very plainly shows why the no-cloning theorem holds, given the setup.
However, I am no quantum physicist and lack the necessary background to truly understand what's going on there.
What are the origins of the 3...
Dear experts, how can I calculate the atomic density of Oxygen in a composite of 05 percent PuO2 and 95 percent UO2 (in atoms/barn-cm)? (5% U235 enriched)
A composite material is just two or more different materials put together, with the materials inside remaining the same. This is what I dislike about composites, they aren’t actually any stronger on a microscopic scale than normal materials. As an example, take pre stressed concrete beams. This...
For this problem,
The solution is,
However, I tried to solve this problem using my Graphics Calculator instead of completing the square. I got the zeros of ##x^2 - 2x - 4## to be ##x_1 = 3.236## and ##x_2 = -1.236##
Therefore ##x_1 ≥ 3.236## and ##x_2 ≥ -1.236##
Since ##x_1 > x_2## then...
I am really struggling in how to begin this problem. So far I have considered using the Euclidean Algorithm and trying to find the gcd of each number like gcd(9,10) but each time they give me 1 so that doesn't work. My next idea is to do a proof by contradiction where I start with assuming that...
For this problem,
The solution is,
However, I tried solving this problem by using the definition of composite function
##f(g(x)) = f(\frac{4}{3x -2}) = \frac{5}{\frac{4}{3x - 2} - 1} = \frac{5}{\frac{6 - 3x}{3x - 2}} = \frac {15x - 10}{6 - 3x}## which only gives a domain ##x ≠ 2##. Would some...
Hello
Please help me. I'm not a chemistry student and I don't have a chemistry-related course, so please explain in a very simple way. Thank you.
I have a composite composition that I only have the weight percentage of atoms and I need to calculate the density so that I can check the properties...
function I=main_simpson(a,b,tol)
f = @(x) sin(1./x);
SO = 0;
N = 10;
S = 1;
while (abs(S-SO)>tol)
SO = S;
h = (b-a)/(2*N);
i = 0:N-1;
xi = a+2*i*h;
xi1 = a+2*(i+0.5)*h;
xi2 = a+2*(i+1)*h;
S = (h/3)*sum(f(xi)+4*f(xi1)+f(xi2));
N = 2*N;
end
end
<Moderator's note...
Hi all
I came to know about an old IC called probably "HE100" which was being used in DIFAR Sonobuoys for generation of composite signal. This IC takes 'Omni', 'Sin and Cosine Dipoles' signals as input and generates composite signals using internally generated 7.5 KHz and 15 KHz carriers. This...
This is my answer:
$$KE_{total}=KE_{centermass}+KE_{uppermass}+KE_{bottommass}$$
$$KE_{total} = \frac 1 2 (mv^2 + 2m(\vec {v} + \vec {wL})^2) $$
But, the solution manual says that the answer is this:
$$KE_{total} = \frac 1 2 (mv^2 + 2m(v^2+w^2L^2)) $$
I think he regard this composite body as...
Here is the hint that the book gave me:
"For the maximum value of μ, the rod must be to the extreme right i.e. horizontally rightwards of the axis of the pipe"
I think what it meant is the same as this:
Note: in the calculation below, ##r## is the distance from the center of pipe to the CoM...
"M. Shupe [Phys. Lett. 86B, 87 (1979)] has proposed that all quarks and leptons are composed of two even more elementary constituents:" (Griffiths)
I am redoing the book of elementary particles from Griffths, and this exercise has showed really interesting to me. How is the currently status of...
Proof:
Suppose for the sake of contradiction that any composite three-digit number
must have a prime factor not less than or equal to ## 31 ##.
Let ## n ## be any composite three-digit number such that ## n=ab ## for
some ## a,b\in\mathbb{Z} ## where ## a,b>1 ##.
Note that the smallest prime...
Proof:
Suppose ## n>1 ## is an integer not of the form ## 6k+3 ##.
Then we have ## n=6k ## for some ## k\in\mathbb{Z} ##.
Thus ## n^{2}+2^{n}=(6k)^{2}+2^{6k} ##
## =36k^{2}+2^{6k} ##
## =2(18k^{2}+2^{6k-1}) ##...
Proof:
Suppose ## n>4 ## is composite.
Then ## n ## is either even or odd.
Now we consider these two cases separately.
Case #1: Let ## n=2k ## for some ## k\in\mathbb{Z} ##.
Then we have ## n\mid (n-1)! = 2k\mid (2k-1)! ##.
Thus, ## n ## divides ## (n-1)...
Proof:
Suppose n is an integer such that ## n>11 ##.
Then n is either even or odd.
Now we consider these two cases separately.
Case #1: Let n be an even integer.
Then we have ## n=2k ## for some ## k\in\mathbb{Z} ##.
Consider the integer ## n-6 ##.
Note...
Proof:
Suppose ##a=8^n+1 ## for some ##a \in\mathbb{Z}## such that n##\geq##1.
Then we have ##a=8^n+1 ##
=## (2^3)^n+1 ##
=## (2^n+1)(2^{2n} -2^n+1) ##.
This means ## 2^n+1\mid 2^{3n} +1 ##.
Since ##2^n+1>1## and ##2^{2n} -2^n+1>1## for all...
Proof: Suppose a=n^4+4 for some a##\in\mathbb{Z}## such that n>1.
Then we have a=n^4+4=(n^2-2n+2)(n^2+2n+2).
Note that n^2-2n+2>1 and n^2+2n+2>1 for n>1.
Therefore, every integer of the form n^4+4, with n>1, is composite.
Proof: Suppose p##\geq##5 is a prime number.
Applying the Division Algorithm produces:
p=6k, p=6k+1, p=6k+2, p=6k+3, p=6k+4 or p=6k+5 for some k##\in\mathbb{Z}##.
Since p##\geq##5 is a prime number,
it follows that p cannot...
My article has been published in Entropy .
Abstract:
Schrödinger noticed in 1952 that a scalar complex wave function can be made real by a gauge transformation. The author showed recently that one real function is also enough to describe matter in the Dirac equation in an arbitrary...
define the binary operater $\diamond$ by
$a\diamond b$=4a+4b
and $s\square b$ by $a\square b=a^2+b^2$
find
$(3\diamond 8)\square 2=
[(4(3)+4(8))^2 +2^2]=1940$
ok just want to see if this is correct
before i run thru the ribbon :unsure:
Could I please ask for help with the following:
Here's a diagram:
(in what follows, for clarity, I write L to represent the lower case L of the diagram).
My diagram wrongly shows u (the coefficient of friction) to be the same at both points of contact. Since this image was taken I have...
Can I please ask for help regarding the following:
A uniform rod AB of length 3L is freely hinged to level ground at A. The rod rests inclined at and angle of 30 degrees to the ground resting against a uniform solid cube of edge L. Contact between the rod and the cube is smooth and contact...
I have like 5 composite dental fillings, two placed when I was nursing my babies. Found out they have strontium, barium and zirconium in them to make them radiopaque on the X-rays. Now worried I am radioactive since I have that stuff in me, worried for my kids as I was pregnant and nursing them...
I have this moment of inertia problem and is a little confused on the semicircle part and if the rest is really right? I get over 10 if I calculate it in crew CAD but by hand I get 7,568032142. What is right and what am I doing wrong?
Im practicing the questions in the problem book and seem to be getting different answers to the book can somebody check cheers.
[Answers: 57.99 W/m: 1739.7 W: 84.9ºC] textbook answers
A water pipe of bore 65 mm bore and 6mm wall thickness, carrying water at 85ºC is
insulated with one layer of...
I have read a document where it says that composite materials are expensive to recycle but did not explain why. However, I am searching and find only a few papers and answers.
I'm new to composite materials. I've studied mechanical engineering but I am actually usually involved in hydrodynamics (in which I've done my masters). However for a project we do fluid structure interaction with composites, and as these things go, you cannot get away with the 'black box'...
I can solve (i), I got x = -1.6
For (ii), I did like this:
$$(f^{-1} o ~g)(x)<1$$
$$g(x)<f(1)$$
But it is wrong, the correct one should be ##g(x) > f(1)##. Why?
Thanks
That's my attempt:
$$\int (\frac{1}{cos^2x\cdot tan^3x})dx = \int (\frac{1}{cos^2x}\cdot tan^{-3}x) dx$$
Now, being ##\frac{1}{cos^2x}## the derivative of ##tanx##, the integral gets:
$$-\frac{1}{2tan^2x}+c$$
But there is something wrong... what?
Let $a,\,b,\,c,\,d,\,e,\,f$ be positive integers and $S=a+b+c+d+e+f$. Suppose that the number $S$ divides $abc+def$ and $ab+bc+ca-de-ef-df$, prove that $S$ is composite.
1. a.
fg(x)=2(1/2(x-1))+1
fg(x)=2(x/2-1/2)+1
fg(x)=x-1+1
fg(x)=x
gf(x)=1/2((2x+1)-1)
gf(x)=1/2(2x+1-1)
gf(x)=x+1/2-1/2
gf(x)=x
The functions functions f(x) and g(x) are inverses of each other. This can be demonstarted by
f(x)=2x+1
y=2x+1
x=2y+1
x-1=2y
(x-1)/2=y
Thus, y=1/2(x-1) = g(x)
And...
My thought process was to get the mass moment of inertia of the rectangle and then subtract the mass moment of inertia of the quartercircle from it.
The MMoI of the rectangle is:
(1/3)(0.005*7850*.6*.3)(.3^2)= 0.212 meters
The MMoI of the quartercircle is:
(1/4)(0.005*7850*¼π 0.3^2)(.3^2) + ?
My...
##f(x)=-x^2 + 3## so ##f^{-1} (x)=- \sqrt{3-x} ~, x \leq 3##
##ff^{-1} = - (- \sqrt{3-x})^2 + 3 = x## and the domain will be ##x \leq 3##
##f^{-1} f = - \sqrt{3-(-x^2+3)} = -x ## and the domain will be ##x \leq 0##
My question:
##ff^{-1} (x)## or ##f^{-1} f(x) ## is not always equal to...
h(x) = 0 for x ≤ 0
h(x) = x^2 for x>0
But my book says
h(x) = 0 for x<0
h(x) = x^2 for x≥0
Can my solution (the first one) work as well? Because the actual function value at x = 0 is zero. I feel like my solution is more elegant.
Is it possible to find three quadratic polynomials $f(x),\,g(x)$ and $h(x)$ such that the equation $f(g(h(x)))=0$ has the eight roots 1, 2, 3, 4, 5, 6, 7 and 8?
My answer:
a.
$$H=\frac{dQ}{dt}$$
$$H_{brass}=H_{copper}$$
$$(109\frac{W}{m\cdot K})(0.005m^2)\frac{100^{\circ}C-T_{c}}{0.3m}=(385\frac{W}{m\cdot K})(0.005m^2)\frac{T_{H}-0^{\circ}C}{0.8m}$$
$$T_{H,Cu}=T_{C,brass}=T_{2}$$
$$-1.8166667T_{2}+181.666667^{\circ}C=2.40625T_{2}\Rightarrow...
f-1(f(A)) = A and f-1(f(B)) = B so options (a) and (c) are wrong.
For (b), I get A ⊆ A
For (d), I get B ⊆ B
For (e), I get A ⊆ A
So there are three correct statements? Thanks
α is the second derivative of angle and w is the first derivative
In the free body diagrams the only force on A is the normal force since it is only constrained not to move vertically.
Have I drawn the free body diagram and kinetic diagram correctly?
By relating the accelerations of the...
This project is stressing me out along with other workload and I'm in panic mode right now. The brief of the project is in the attachment.
I can interpret 4 objectives out of this:
(1) Analysing the relation of the physical parameters in the composite material with the characteristics of wave...
Does anyone have an equation for the resultant density of the composite materials? Having a look around the internet and I can't find anything, there was this one website that gave me a step-by-step but the answers did not match (sciencing.com)
I would like to know some guidelines regarding this topic. The characteristics of wave propagation depend highly on the orientation of fibre (unidirectional and warp & weft arrangement), fibre volumetric fraction, relative fibre modulli etc. What is the relation of wave propagation and these...
I would like to generate (X,Y) pairs such that they would follow a distribution something like this:
This is the sum of three normal distributions. Each distribution could have a different taper along the X and the Y, plus an offset along X and/or Y. So the parameters of these three...
Since $$\lim_{x \rightarrow 0} \frac {R_{n,0,f}(x)} {x^n}=0,$$ ##P_{n,0,g}(x)## contains only terms of degree ##\geq 1## and ##R_{n,0,g}## approaches ##0## as quickly as ##x^n##, I can most likely prove this using ##\epsilon - \delta## arguments, but that seems overly complicated. I also can't...
f(x)=2xand g(x)=2^x
Find the composite function of fg(x)
fg(x)
=f(g(x))
=f(2^x)
=2(2^x)
I don’t understand how this in turn equals to 2^(x+1)
[Moderator's note: Moved from a technical forum and thus no template.]