Modulus Definition and 583 Threads

Homework Statement Show that if a, b, c, and d are integers such that a | c and b | d, then ab | cd. Let m be a positive integer. Show that a mod m = b mod m if a ≡ b(mod m) Homework Equations | means "divides," so a | b means "a divides b" or "b can be divided by a" mod gets the...

I need to multiply 2 matrix in Mathematica but modulus an Integer. The "Modulus->n" option cannot be used with "Dot" function. You can use Modulus-> n with "Inverse" or even "Det" but not with "Dot". It is something strange. How should I do it, then? Any idea? Thank you.

1. The Young's modulus for tin is 4.5x10^10. If the speed of sound in tin is measured to be 2.73km/s , find its density in (kg/m^3) . a)6.05x10^3 b)23.8x10^3 c)6.35x10^3 d)24.5x10^3 e)6.65x10^3 , E(tin)=4.5x10^10 ,speed of sound in tin=2.73km/s 2. v=sqrt(B/density) -where...

Homework Statement I'm completing a homework for Young's Modulus and one question asks to estimate the elastic limit for the wire which was used. I can see where this approximately is on the graph I have drawn. When the question asks to estimate the elastic limit, does this mean to...

Homework Statement I was given the problem to try experimentally find youngs modulus for normalized steel but when i did the equation the value i got was about 33 GPa. It is supposed to be around 200 isn't it? I cannot figure out what is wrong, am i missing something or is the measured data...

Okay, when I enter into the calculator sqrt(x^2) it equals |x|. Since when? I thought sqrt(x^2) equals x and then when you go to sketch it, it will be a positive diagonal line through the origin whereas |x| is a reflection at the origin.

Homework Statement Multiple choice question about a modulus function, which statement is false? Below is the multiple choice question about a modulus function (the domain of the function is all reals): Which one of the following is not true about the function f(x)= | 2x+4 | : A. The...

After making a chart in Excel and obtaining the equation " Y= 3E+07x+2445.3 " Now i need to calculate the modulus of elasticity. I know that the slope of the equation gives the modulus of elasticity. but I have no clue how to even begin solving the equation Y= 3E+07x+2445.3I do know...

Hi, I have a fairly simple problem which but I'm not sure if it should rather be in a computer science forum for algorithms or something. Given n vectors, how do you choose the sign of each vector as to maximize the modulus of the sum of the vectors? Sure you could go through all 2^n...

1. How to calculate cross sectional area and force for Young's Modulus? My main issue is that I don't know my F or my Ao. Help? e=Constant 2.106 DeltaL=10mm Lo (original length of elastic)= 200mm f=? Ao=? 2. E= FLo Ao(Delta)L F= EAoDeltaLength[U/] Lo F= [U](2.106)(10mm)(Ao)...

I'm inputing data into a SolidWorks material profile, but I'm having difficulty determining the value of the elastic modulus (psi) of steel reinforced concrete i'm looking at the following source for material properties: http://www.fhwa.dot.gov/pavement/pccp/pubs/05081/chapt3.cfm [for...

Homework Statement By considering the force-separation curve for two adjacent atoms in a solid, f(x), show that the Young’s modulus can be expressed on the microscopic scale as: Y = - \frac{1}{x_0} \frac{df}{dx}\right| |_{x=x_0} (the | is meant to go allt he way form the top to bottom of...

Homework Statement a) List all integers, A, that is in the range where A is greater than -51 and less than 51 such that it also satisfies: A is congruent to 7 (mod 17) b) has a set of representatives modulo 17, made up entirely of multiples of 3 Homework Equations Only need to know...

Homework Statement A 0.46 m long guitar string, of cross-sectional area 1.1 10-6 m2, has Young's modulus Y = 2.20 109 N/m2. By how much must you stretch the string to obtain a tension of 10 N? Homework Equations ? The Attempt at a Solution I don't know how to begin this...

If f is an even function on [-a,a] , show that ω(f;[-a,a];δ) = ω(f;[0,a];ε) . help will be appreciated so much

can someone tell me a direct way of solving modulus containing equations other than taking different cases with all terms , i mean if we have an equation of the kind |a|+|b|-|c|-|d|=|e|+|f| ,where a,b,c..are some expressions , i cannot take 12 cases! , there would definitely be some technique...

Homework Statement Find the inverse of y=|x-4| Homework Equations - The Attempt at a Solution i tried y+4=|x| replacing y with x, x+4= |y| and I am quite stuck because of the modulus sign. do i go on with x+4=y or -x-4=y?

Homework Statement Onto a thick brass rod we attach equally long glass thread. At what temperature change will the glass thread break if the temperature coefficient of linear expansion for brass is α1= 20 x 10 ^-6 K^-1, and for glass is α2= 7 x 10^-6 K^-1? Young’s (elastic) modulus for...

Homework Statement my data as below diameter of copper wire/m 0.025 (mean) Unstretched part = 0.285m mass(m)/KG extension(e)/m 0.1 0 0.2 0 0.3 0 0.4 0.001 0.5 0.001 0.6 0.001 0.7 0.003 0.8...

I am investigating the Young's Modulus of certain materials and what factors have an effect on the Young's Modulus of materials. I am going to be altering the temperature, my hypothesis being that increasing the temperature will lower the E of the materials. Are there other factors I could...

the reasons: 1. For low molecular weight materials, modulus drops rapidly with increasing temperature. 2. For High molecular weight amorphous materials, modulus drops to a secondary plateau region called the rubbery plateau (polymer entanglement prevents chain slippage). With further...

in the following question, how do i find the changle in AB, the change in AD and the change in AC? http://lh4.ggpht.com/_H4Iz7SmBrbk/Sv_hYT83rYI/AAAAAAAAB8s/7l5YRXMxVfQ/s912/Capture.JP what i have done is used the following \sigmaxx=E*\epsilonxx \deltaAB=\epsilonAB*AB since AB is on the x...

Hi everyone, :smile: Apologies if this is in the wrong section, I'm still relatively new to the forum. :blushing: I'm an engineer studying Young's modulus in building materials. I have a passing interest in physics, but let's say my knowledge of the subject is far from exhaustive...

Homework Statement Let g(z) be a function that is analytic and non-constant on D = {|z| < 1}. Suppose that Max |g(z)| \leq \frac{1}{r} for all 0< r <1, |z| = r. Use the Maximum Modulus Principle (or corollary) to prove that |g(z)| < 1 for all [SIZE="3"]z \in[SIZE="3"] D. Homework...

1. Consider a steel guitar string of initial length L=1.00 meter and cross-sectional area A=0.500 square millimeters. The Young's modulus of the steel is Y=2.0 \times 10^{11} pascals. How far ( Delta L) would such a string stretch under a tension of 1500 Newtons? Use two significant figures in...

Homework Statement Im confused as to how you obtain that, 77 is congruent to -1 mod 26 -77 is congruent to 1 mod 26 -11 is congruent to 15 mod 26 Homework Equations The Attempt at a Solution Some help would be great thanks

im the very beginner of learning c programe so i would like to ask the follow questions and hope someone can give me some idea:: i know: 3%2 = 1 8%3 = 2 12%4 = 0 but I am not sure about the followings (or my concept is wrong or right): 12%100 = 12 1%2 = 1 can i say when the...

Homework Statement Let a function f be continuous on a closed bounded region R, and let it be analytic and not constant throughout the interior of R. Assuming that f(z) != 0 anywhere in R, prove that |f(z)| has a minimum value m in R which occurs on the boundary of R and never in the...

Hi, I need the compressibility of diesel, depending on density, pressure(0-200bar) and temperatur. Do you know where to find these values? Thanks Inkog

Hello, My question in this. If you have a system where two rods (different moduli of elasticity and different cross sectional areas, but equal in length) are compressed uniformally by a load, how do you calculate the compressive deformation in the rods. The compression of both will be...

lim as h->0 (|(h^2) + 4h |)/h comes out = 4 when i do it by splitting the definition of function according to modulus , but if according to distributive property of modulus , i can also write it as lim as h->0 (|h|/h)|((h) + 4|)) , but I am as h->0 (|h|/h) does not exist , so what's wrong?

Young's Modulus for Plastic URGENT I was wondering what is the young's modulus for plastics because I am looking all over the internet and can't find anything? Its because in an experiment i calculated it to be 10.9GPa but i need to compare it to an actual value. Thanks

Given f(z) = (z+1) / (z-1) for z not equal to 1 My teacher wrote |f(z)| = |x+1+iy| / |x-1+iy| = sqrt((x+1)^2 +1) / sqrt((x-1)^2 + 1) How do the values within the modulus work out to the right hand side? I can't figure it out.

hi all. I am doing an experiment that's involvse measureing the speed of sound through fluids at different temperatures and i want to able to predict the speeds before the experiment using equations. what i have found so far is that the speed of sound in a fluid,c, is equal to the sqaure root...

I was doing an experiment on Youngs Modulus, the set up is a steel bar fixed on both ends an a mass put on the centre. Measuring the depression and then drawing a graph of depression vs mass. then using the gradient of to get Youngs Modulus. And my peoblem is the gradient is hust too small, yet...

Homework Statement |x+2/x+1|less than or equal to |x-3| how do i solve this?? I couldn't find any way! My lecturer did give me a hint saying that there are four combinations of + and -ve signs. Homework Equations The Attempt at a Solution

Homework Statement "Water in a hydraulic press is subjected to a pressure of 4500 psia at 68 F. If the initial pressure is 15 psia, approximately what will be the percentage decrease in specific volume. Use Table 2.1 (below)." Homework Equations...

Hello, having some problems with calculating young's modulus, please help. [b]1. A Strain gauge records the following strain when a block of material is pulled: Force(N) Strain(%) 100 0.01 1000 0.1 2000 0.179 3100 0.9 Area of block =...

Hey guys, we have ordered some spring rings made out of Inconel 718. For some reason the company didn't finish the heat treat and the parts are just annealed, in the "dead-soft" condition. I need to evaluate if these things are usable (they are actually supposed to be soft and were designed...

hi there, I am completely stuck on this question and was wondering if anyone could help me out here; ''a metal wire has a diameter of 1mm. when subjected to a tensile load of 200N the diameter is 0.99925. if the youngs modulus of the titanium is 110GPa, determine the shear modulus of the...

I have a project to measure young modulus by measuring the deflection of a beam under point mass. I have derived the equation but i am confused to how the end of beam should be placed to obtained best precision. Should it be both clamped end, freely supported end or a mixture of both? My idea...

Had a problem with this question in my (Wilson Buffa Lou) College Physics book. The problem says: A copper wire has a length of 5.0m and a diameter of 3mm. Under what load will its length increase by 0.3mm? The answer in the back says 47N. This is my work through the problem...

Is "Section Modulus" the same as a cross sections "bending strength modulus"? Good afternoon everyone, I am following an ECE directive that sets out the requirements for the properties of a "Rear underun protection device" for the rear of a lorry. It states that the underun bar must...

After a tough discussion with my friends, I opt to ask here because we aren't coming to an answer. When stress is applied to a solid, let's say an iron rod, will the volume change, or when the length of the rod shrinks or stretches, the area of the cross sectional area will reduce or increase...

Homework Statement A cylindrical steel pressure vessel with volume 1.31 m^3 is to be tested. The vessel is entirely filled with water, then a piston at one end of the cylinder is pushed in until the pressure inside the vessel has increased by 1000 kPa. Suddenly, a safety plug on the top...

Not really a problem but a concept I am having trouble understanding and I was hoping someone can explain to me better. We performed an experiment in lab last week on finding the Young's modulus of copper by projecting a laser on the wall to magnify the effect of the change in length of the...

Hi there, I am doing some simulation on the cooking process of pasta. Now I need the viscoelastic parameters of cooked pasta (plane sheet lasagna to :) ). To be more specific, i need the shear modulus and the initial bulk modulus. Right now I found a paper, in which a relaxation test was...

"multiplicative modulus" I have found a multiplicative modulus function, an analogue of absolute value for multiplication. Not a groundbreaking one, I'm sure someone has thought about this before. More specifically it is a function that satisfies: \operatorname{MM}(1) = 1...

Homework Statement Find the remainder of dividing 2(562009)-3. Homework Equations Let m be a positive integer. If a\equivb (mod m) and c\equivd (mod m), then a + c \equiv b + d (mod m) and ac\equivbd (mod m). The Attempt at a Solution Using ac\equivbd (mod m): (2 mod...

Homework Statement What is the actual value for the young's modulus of copper wire in N/m?Homework Equations The Attempt at a Solution