Composite Definition and 378 Threads

Having trouble figuring out how to link the two Young's Moduli to the Bending Moment, any suggestions?

Homework Statement Find the moment of inertia of these composite objects. I've attached two different composite objects; each rod has length L and mass M. Homework Equations I = Icm + MD2 Long thin rod with rotation axis through centre: Icm = 1/12ML2 Long thin rod with rotation axis through...

Homework Statement Find the moment of inertia for this composite object: M1=5kg at (3,4) and M2=3kg at (6,8) Homework Equations Moment if inertia for point particle = MR2 The Attempt at a Solution I'm not sure if moment of inertia should be componentized -- broken up into x and y...

Homework Statement As in the photos Homework EquationsThe Attempt at a Solution my working is (6.43x10^-3)(310+10) + (11x10^-3)(155) / (6.43x10^-3 +11x10^-3 ) = 215.8 , but the ans is 112 , what's wrong with my working ?

1. State the problem A plane wall consisting of three different materials, each of constant thermal conductivity k. Assume steady-state temperature distribution. a) Comment on relative magnitudes of q(dot)''2 and q(dot)''3 and of q(dot)''3 and q(dot)''4. b) Comment on the relative...

Homework Statement i have a few question here . 1. the y bar for I should be 16.98, am i right ? 2. The y bar for II should be 50+12+24=86 , am i right ? 3. the x bar for V should be 50 , am i right ? Homework EquationsThe Attempt at a Solution

Hi all, I am doing a High Velocity Impact testing using a gas gun I have to figure out a) is my test running well and I am not getting any reflection? Please correct me or help in calculating if I am wrong at any point. I guess, I can figure out by calculating the time required for the...

Hello everyone, Can atomic or subatomic neutral composite particles that consist charged particles emit cherenkov radiation if they are polarised strongly enough (and are fast enough)?

So during a particle physics lecture, the lecturer used Heisenberg's uncertainty principle to set a lower limit on the KE of the quarks bound in a proton (given the mass,size of proton and the mass of u/d quarks), which is of the order of 100 MeV, while the mass of quarks is about several...

Buried in a recent talk by John Ellis, the following passage: Reference 92 is Weinberg & Witten 1980, reference 93 is a talk by Zohar Komargodski at the same meeting.

It has been my understanding when working with natural wood beams/joists, that for example, two 2x12 members over a 12' span gain significant strength when they are fastened (nailed, glued or both) together rather than just lying side by side touching one another. Is this phenomenon...

Homework Statement Determine the moment of inertia of the cross sectional area of the T beam with respect to the x' axis passing through the centroid of the cross section.(I'm attaching a diagram) Homework EquationsThe Attempt at a Solution Hi! I'm having a little trouble with this problem...

Just got back from vacation on the beach, there was one clear night which I used to do this (15mm lens): It's a composite (duh..) of long exposures for the trails (about 4 minutes each, ISO 800), with a burst of 13-second ISO 2000 images in the middle which are stacked. The humidity created...

Hi, I'm new here, great forum! I am building a boat rack for the top of my truck for a particular boat and boat dolly. The boat will be upside down with the beach dolly attached. It is a side loader, so balance is critical. I need to calculate the combined Center Of Gravity (COG) of the boat...

Hey everybody, I went through a discussion with a colleague today about Finite element modeling of composite structures and how to interpret the stress analysis. I understand that for isotropic materials, principal stresses could be used against the allowable stresses to see if failure will...

I am a part C Mechanical Engineering student and have been undertaking a project investigating the strain sensitivity of a particular glass filled composite. From my quasi-static results, the stress-strain curves seem to be reasonable and match that of the mechanical material properties...

what theory that ACP is used?

New to composite functions here. Lesson has been vague and unhelpful.. again. Here is what I've worked on so far but not sure on the last equation in particular, or that I have done my multiplication properly when working with a squared set of brackets, multiplied by an number.. (b and c) Any...

I need help with the following theorem: Let I, J ⊆ℝ be open intervals, let x∈I, let g: I\{x}→ℝ and f: J→ℝ be functions with g[I\{x}]⊆J and Limz→xg(x)=L∈J. Assume that limy→L f(y) exists and that g[I\{x}]⊆J\{g(x)},or, in case g(x)∈g[I\{x}] that limy→L f(y)=f(L). Then f(g(x)) converges at x, and...

hey! How do you work out the domain and range of fg(x), do you work out what range of g(x) will fit the domain of f(x)? I have no clue. Thanks

Homework Statement Let f(g(h(x))) = 1/(2-x) Find g(x) if: f(x) = (x^2) - 1 h(x) = 3x+12. The attempt at a solution This is what I have: g(h(x))^2 -1 = 1/(2-x) g(h(x) = sqrt((3-x)/(2-x)) I'm not sure how to get the h(x) out of this to leave me with just g(x). Please point me in the right...

Hi, I was tasked to design a composite material that will undergo a 3 point bending test. Maximum deflection will be of 15mm and a maximum load of 5kN. The scope of this task is not to prevent failure but to analyse the composite and learn from the design process. Nonetheless the composite...

Homework Statement 1. Find a formula for (f g)(x) = ? 2. Find a formula for (f f )(x) = ? 3. Find a formula for the composition below. g(h(x)) = 4. Find a formula for the composition below. (h g)(x) =The Attempt at a Solution 1. f(g(x)) 2. f(f(x)) 3. (g º h)(x) 4. h(g(x)) Why are these...

While browsing Wikipedia I bumped into this sentence that seemed partially wrong to me but maybe I didn't understand what it is referring to so would like for some expert to help me elucidate it: "Even if an elementary particle has a delocalized wavepacket, the wavepacket is in fact a quantum...

I have come across a question in my explorations of recursive tilings using Gaussian and Eisenstein Integers. It seems there might be a class of composite numbers which have no factors (divisors) that are co-prime. So, for instance: 10 is composite, but its factors (2 and 5) are co-prime. The...

Hi, I've come across this notation to describe a composite ply layup: [2/4/4/2] – [45/0/-45/45/90/-45]s I know that the second part is notation for: [45/0/-45/45/90/-45/-45/90/45/-45/0/45] But what is the [2/4/4/2] in referrence to? I have noticed that 2+4+4+2 = 12, and there are 12 ply...

Is it possible to build a fast, accurate scale using QTC? If so, could someone explain the basics or point me toward a good resource? Thanks!

Hi Guys I am trying to figure out what stresses in different planes mean physically for composite laminates. Say S stands for stress then SXX SYY SZZ would be longitudinal/axial stresses in respective Axes. (If we take the laminates to be in XY plane, failure stress SZZ would be equal to...

Prove that for every positive integer $a$, the integer $5^{4a}+5^{3a}+5^{2a}+5^a+1$ is composite.

We can find differential of alloy and composite. MMC is came from 2 differential of metal, one from it aren't melting same as producing alloy. but there are might produce new reaction. ex: C with Fe, the name is carbon steel. the nano-composite just too, but the particle aren't big, and the size...

How do you calculate total extension of composite bars carrying loads in tension?

Homework Statement Glass fibres in Nylon provide reinforcement. Young's modulus of glass fibre is 72.4GPa; Young's modulus of Nylon is 2.8GPa. If the Nylon contains 30% by volume glass fibres, what fraction of the force applied parallel to the fibre axis is carried by the glass fibre? (Assume...

A solid hemisphere has another, smaller solid hemisphere attached to each other at their plane, circular faces, so that the centre C of the circular bases of either coincide. A particle P is then attached to the edge of the plane circular face of the larger hemisphere. The composite object is...

http://en.wikipedia.org/wiki/Newton%E2%80%93Cotes_formulas Simpson rule: 1 4 1, and the composite version: 1 4 2 4 2 4 2 4 ...4 1 in a double integral we just compute rows, and next columns, a this gives a matrix: http://mathfaculty.fullerton.edu/mathews/n2003/SimpsonsRule2DMod.html Milne's...

Homework Statement System of 2 particles with spin 1/2. Let \vert + \rangle = \begin{pmatrix} 0 \\ 1 \end{pmatrix} \\ \vert - \rangle = \begin{pmatrix} 1 \\ 0 \end{pmatrix} singlet state \vert \Phi \rangle = \frac{1}{\sqrt{2}} \Big( \vert + \rangle \otimes \vert - \rangle - \vert - \rangle...

Stuff I'm wondering about: * can/does a conductors' cross-section influence inductive efficiency and/or directionality? * consider a 'wire' made from a dielectric material, with a conductive material evaporatively deposited on it's surface. if this wire were asymmetrical in section, e.g. it...

Homework Statement Given the Functions f(x)=4x-1 g(x)=3-2x^2 h(x)= sqrt (x+5) What is the domain of h(g(x))? Homework Equations the subject is finding the domain of a composite function The Attempt at a Solution I don't understand what I have to 'bring over' from g(x). I think x cannot equal...

Homework Statement The cross section of a 20 cm thick, 3 m wide, and 1 m high composite wall is shown. The conductivities of materials A, B and C are 1.0, 0.1, and 0.05 W m-1 K-1, respectively. One side is exposed to air at 295 K with a heat transfer coefficient of 4 W m-2 K-1, and the other...

Homework Statement I have a laminate subject to 3 forces and 3 moments: Nx = normal force resultant in the x direction (N/m) Ny = normal force resultant in the y direction (N/m) Nxy = shear force resultant (N/m) Mx = Bending moment resultant in the x direction (Nm/m) My = Bending moment...

I have just found a review on this topic by Volkas and Joshi http://inspirehep.net/record/21549?ln=esBut it is very old... 1988. I was just in the middle of the undergraduate. I know that the topic got some push from Seiberg dualities, but that is still the XXth century. Does anybody know of...

I have seen only two arguments for the fact that composite particles, like protons, nuclei, or even Helium-4 atoms, are identical and can be considered bosons or fermions according to their total spin. The first, in Feyman's lectures [third volume, 4-2]. It is said that if the composite...

Hey guys, Few more questions for the problem set I've been working on. I'm doubting some of my answers and I'd appreciate some help. Question: The first one starts off easy but I found that it gets progress more challenging later on. So the rate of spread should be p'(t) which is: p'(t) =...

For positive integers $p,\,q,\,r,\,s$ such that $ps=q^2+qr+r^2$, prove that $p^2+q^2+r^2+s^2$ is a composite number.

Hey guys, Few more questions for the problem set I've been working on. I'm doubting some of my answers and I'd appreciate some help. Question: The first one starts off easy but I found that it gets progress more challenging later on. So the rate of spread should be p'(t) which is: p'(t) =...

Hey guys, I have a couple more questions about this problem set I've been working on. I'm doubting some of my answers and I'd appreciate some help. Question: For the first one, since f o g = √(√x+5)-2), the domain is [-1,infinity) Likewise, g o f = √(√x-2)+5) and the domain is [27,infinity)...

Consider a composite particle. Its spin is determined by the spins of its constituent particles. But the constituent particles are in a superposition of different spin states and so don't have a definite spin. So it seems it shouldn't be possible to ascribe a definite spin to the composite...

Good morning PF, I am having some difficulty finding info on calculating a composite moment of inertia. The section I am working with is 8 separate columns (WT5x15) arranged evenly spaced around the circumference of a circle. You can see what I'm taking about in the attached jpg. I found...

Can I use a 315MHz transmitter module to send a composite video signal to another reciever module?

Homework Statement I've been reading Leonard Susskind's Theoretical Minimum volume on QM, and enjoying it quite a bit - the book doesn't include exercise solutions at the end though, and if they exist online for this volume I haven't been able to find them. (Perhaps if such solutions...

Hey again! (Rock)(Wasntme) I want to show that there are infinitely many composite numbers $n$,for which stands: $$a^{n-1} \equiv 1 \pmod n$$ So,it must be: $n \mid a^{n-1}-1$ But how can I show that there are infinitely many such $n$ ?? (Thinking)