Modulus Definition and 612 Threads

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...

new to physics can some one please help me with b and c Load (kN) 0 20 30 50 60 73 90 94 Extension (mm) 0 0.150 0.225 0.375 0.453 0.550 0.900 1.100 a) Draw a graph with load on the y-axis and extension on the x-axis...

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

a structural steel rod has a radius of .5 inches and length of 32 in. 4000 lb force stretches along its length. modulus of elasticity is 29 x 10^6 psi. Need to figure out stress on rod, the elongation of rod due to force, and strain on rod due to force Homework Equations The...

For x|x - 2| \ge 1, since |x - 2| \ge 0, and for x|x - 2| \ge 1, so x > 0 Since x > 0, can I multiply the x inside to make it |{x^2} - 2x| \ge 1 ?? Or can you teach me your method of solving this question? Thanks.

Homework Statement When the water freezes it expands by about 9.00%. What pressure increase would occur inside your automobile engine block if the water in it froze?(The bulk modulus of ice is 2.00 x 10^9 N/m^2).Homework Equations B=\frac{\Delta P}{\Delta V / V_i} The Attempt at a Solution If...

Say f(x) = x^2 - 1 and I'm trying to prove that f is continuous, then I was told I CANNOT do this: |x^2 - x_0^2| = |x-x_0||x+x_0| < \delta|x+x_0| = \epsilon because then our epsilon is relying on an x value. I was told I could restrict the x values to a closed neighborhood about the...

Homework Statement Assume that Young's Modulus for bone is 1.50 X 10^10 N/m2 and that the bone will fracture if more than 1.50 X 10^8 N/m2 is exerted. (a) What is the maximum force that can be exerted on the femur bone in the leg if it has a minimum effective diameter of 2.60 cm? (b)...

Homework Statement find the young modulus of copper through calculating the stress and strain, plotting on a graph and finding the gradient of the linear part of the graph Homework Equations ym=stress/strain stress=force/ area strain= extension/length The Attempt at a Solution...

Homework Statement A wire of diameter 0.2mm stretches by 0.20% when a 6.28-N force is applied. What is the elastic modulus of the wire? Homework Equations Elastic Modulus=F/A/L/\DeltaL The Attempt at a Solution r=.1mm=1x10-4m 6.28N/(2\pi1x10-8/.02=5x109N/m2 The right answer...

What could you do to obtain a more precise measure of the elastic modulus of a material in tensile testing?

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 derive the equation for the bulk modulus, K = E/3(1 - 2v), where v is poisson's ratio. Homework Equations E = stress/e, where e is strain The Attempt at a Solution e_v = e_x + e_y + e_z e_y = e_z = -v*e_x e_v = (1 - 2v)*e_x K = stress/e_v therefore K =...

How do we measure the young's modulus of powders (particle size D50 is around 50 microns)? Quasi static methods like compression , tensile etc are not recommended for powders like materials. WHat modifications do we need if one wants to use compression method ?

Good day, Im am wondering what you get when you determine the following of a bar during a bending experiment: (E x I) / y E = the Young's Modulus [kgf/mm^2] I = Second moment of area [mm^4] y = half of the bar height [mm] Is there a name for this term? And what does this term...

hi to all can i obtain the answer of this problem : show that : modulus of (sin z ) > = modulus of (sin X ) where z = x + i Y

can anyone help me with this question...i am stuck data for steal wire 1.72 m long and 0.4 mm diameter load 10 20 30 40 50 60 extension 0.7 1.5 2.1 2.9 3.6 4.3 find youngs modulus? i have this formula E=F/A*L/AL but don't know how to use it...

Why does the shear modulus of a metal decrease with increasing temperature, on an atomic scale? Is it something to do with electrons gaining more energy allowing "layers" to slide around more easily??

Homework Statement A hanging wire made of an alloy of iron with diameter 0.09 cm is initially 2.2 m long. When a 66 kg mass is hung from it, the wire stretches an amount 1.12 cm. A mole of iron has a mass of 56 grams, and its density is 7.87 g/cm3. Based on these experimental measurements...

Homework Statement hey my youngs modulus for all my results for c.w has come out "blehege" Y=youngs modulus F=force A= area 5.255x10-8 X=extension L= original length 1m make things quicker my Y for when F=1.5 and X=0.05x10-3 i get a stress of 26198585 my stress is 2000 which...

Hi guys, I am trying to calculate the section modulus of some channel section. I was going to use the value provided on the data sheet but its confusing me because it has values of section modulus in the X and Y axis. Am i right in assuming that i use section mod value where the load is...

Homework Statement Let u be harmonic on the bounded region A and continuous on cl(A). Then show that u takes its minimum only on bd(A) unless u is constant. Homework Equations incase you are used to diffrent notation, cl(a) is clousure bd(A) is boundary The Attempt at a Solution...

Hi everyone, I want to know what the difference between bulk modulus and young modulus is? In some papers, it seems that they have compared the value of these two as if they are the same. Could anyone help me with this regard? Regards, Sara

SOLVED 1. show that the determinant of a unitary matrix is a complex number of unit modulus 2. i know the equation for a determinant, but i guess to i am not sure what a complex number of unit modulus is either. I'm looking for guidance

Homework Statement I have attached a figure showing beam bending around 2 axis. I need to calculate section modulus Sx and Sy but seem to be getting the major and minor axis confused. I guess the problem comes in when I go to select which term is squared in my equation below. Homework...

Homework Statement Part A What is the pressure at a depth of 5000 in the ocean? Given rho_water=1,030 kg/m^3 pTotal=p_0 + rho*g*h=5.06×107 Part B What is the fractional volume change of seawater at this pressure? Given B=0.2*10^10 dV/v=p/-B =−2.53×10−2 Part...

Homework Statement Find the modulus and argument of z=1-cos(a)-i*sin(a) Homework Equations mod(z)=sqrt(a^2+b^2) The Attempt at a Solution mod(z)=sqrt((1-cos(a))^2+(-sin(a))^2) =sqrt(2-2cos(a)) arg(z)=arctan((-sin(a))/(1-cos(a))) This is as far as I can get, I have asked my math...

Homework Statement The cables of length 70m supporting a lift consist of two steel ropes each of 100 strangs giving a total cross sectional area of 1.0 x 10^-4 m^2. Consider a full lift to carry 8 passengers of average mass 75kg. Calculate by how much an empty lift moves down when it is...