Modulus Definition and 583 Threads

Note: This is a laboration assignment. Homework Statement I want to theoretically determine the frequencies of the standing waves that occurs in a Chau gong when exposing it to a camera flash (Nikon sb-900) from a given distance. These shall then be compared to the frequencies obtained from...

This is a homework problem and I thought about putting it in the homework section bu since its very materials science specific I decided to put it here: For a transversely isotropic material, the “plane strain bulk modulus”, K23, is an engineering constant that is defined by the stress...

Homework Statement a hydraulic system operates at 3000 psi. Compute the percentage change in the volume of the oil in the system as the pressure is increased from zero to 3000 psi if the bulk modulus of the oil is 189000 psi.Homework Equations E=∆p/(∆V)/V The Attempt at a Solution 189 000 psi...

Homework Statement Suppose z is complex number with |z| = 1 (also assume that z is not 1 + 0*i) Let z = a + b*i where a and b are real numbers. Find a real parameter, t, such that z = (t-i)/(t+i), where i = sqrt(-1) Homework Equations |z| = sqrt(a^2+b^2) The Attempt at...

Hi, I am trying to do the multipole expansion of a point charge away from the origin, I can't understand Legendre polynomials so want to do it in Cartesian but when I try to Taylor expand the \left|\frac{1}{\vec{r}-\vec{r'}}\right| I am not sure how to handle the modulus. Any help...

out of interest does cross sectional area change when a force is applied (lets say I had a wire and I applied a force to it, the wire would stretch ) does its cross sectional area change

Homework Statement Two different materials are being considered for a safety pad below a swing. Material 1 has a Young's Modulus twice that of Material 2. Which should be chosen? A. Material 2, because the length over which the impact force acts is larger, resulting in a lower average...

Homework Statement hi there! I am new to this forum and was just wondering if anyone could help with this question on percentage uncertainty. I am supposed to find the percentage uncertainty in d^3 the info given is mass attached to the end of a strip= 0.1...

Where, on the internet, can one learn the method to solving equations modulus a number? I'd like to learn the method for finding such relations as this special case for the Erdos-Straus Conjecture, with n ≡ 2 (mod 3). Also, what is the technical name for finding the mod n relations in an...

Homework Statement A 30kg sledge hammer strikes a steel spike of 2.30 cm diameter while moving at 20.9 cm/s. The hammer rebounds with a speed of 10.0 cm/s after 0.110 s. What is the average strain in the spike during impact? Mass of hammer = 30 kg Radius of Spike = 1.15 cm or 0.0115m...

Homework Statement My prof was saying today that the modulus of a complex number isn't the absolute value. The problem is the following: Graph the set of points satisfying the following equation(s): |z-1+i|=1 The Attempt at a Solution Can I not just say that z = -i or z = 2-i...

Got exams in January so just want to make sure I am correct the questions read exactly like this a) The sample of copper wire reached its elastic limit when the stress is 1.4x10^8 Pa and the strain is 0.035 Calculate the Young's Modulus for copper. My attempt is Y= Stress/Strain => Y=...

I am trying to do this integral \int_{-\infty}^{\infty}\frac{e^{-a| \vec{r}|}e^{-\vec{b}. \vec{r}}}{|\vec{r}|} But if I write the modulus as \vec{r}=\sqrt{x^{2}+y^{2}+z^{2}} I can't figure out how to handle the annoying square root in the exponential. Would be grateful for hints, thanks...

I need to figure out the value for d in this equation, but because the numbers are large, I don't know how. (d)(13) mod (2436) = 1. d times 13 mod 2436 should be equal to 1. Is there a process I can use to find out the value of d.

Does anyone have a recommendation for a paper/source for data relating distance modulus and redshift data over a large range of redshift, such as 0 < z <= 5? I have found that combining data from different publications can be difficult given the variety of ways that distance modulus can be...

Hi! Could anybody, please, tell me: whether |Cos(theta)|*Cos(theta) = Cos^(theta) , because it means that only positive values of Cos(theta) are taken. Am I right?:shy:

Hi! Could anybody, please, help me with integrate this: Integrate[ (|x| / x) dx] Thank you:)

Homework Statement If you have two materials of equal length and radius and then you join them together. Material 1 young's modulus = y1 material 2 young's modulus = y2 Homework Equations F/a = y Lchange / Lo The Attempt at a Solution Given they are of the same length and radius...

Homework Statement A mass of 225 kg is hung from a metal cable of length 1.60m and diameter 8.20mm. This causes the cable to stretch by an amount 0.668mm. Calculate the Elastic Modulus of the metal. Homework Equations E=(F/A)/(change L / orig L) The Attempt at a Solution F =...

Homework Statement Find all monic polynomials of degrees 2 and 3 in (Z/2Z)[x]. Determine which ones are irreducible, and write the others as products of irreducible factors. The Attempt at a Solution I know that factors of degree 1 correspond to roots in Z/2Z and that monic...

Hi, does higher young modulus means higher rigidity of a solide? Regards,

Homework Statement A wire, of length 250 centimeters, and radius 0.3 millimeters is stretched by hanging on a weight of 12 kilograms, and the elongation produced is 8 millimeters. Calculate the value of Young’s modulus for the wire. Homework Equations The Attempt at a Solution...

Homework Statement Dear Yahoo Answers, Can someone please help me with this as it's driving me crazy! We had to complete an experiment where had to calculate the Young’s modulus of Rubber, by doing an experiment. So we used a rubber band and various weights to calculate the values, to...

Homework Statement A mass of 13.0 , fastened to the end of an aluminum wire with an unstretched length of 0.50 is whirled in a vertical circle with a constant angular speed of 130 . The cross-sectional area of the wire is 1.3×10−2 . The Young's modulus for aluminum is Pa.Calculate the...

I have to solve the equation: |12x -9| = |3 -4x| +2x -1 I was wondering if it's supposed to be like: 12x -9 = 3 -4x +2x -1 and -12x +9 = 3 -4x +2x -1 ? Or am I supposed to consider the positive and negative of 3 -4x also? I didn't attend lessons for this and I know little about modulus...

Homework Statement A particle of mass m is attached to one end of a light elastic string of natural length a and modulus mg, the other end of the sting is attached to a fixed point O on smooth horizontal surface. The particle is released from rest at horizontal distance a+L from O...

Homework Statement A suspension wire is given and the problem is to find out it's rigidity modulus. Say the wire is of length 'l' and a mass 'm' is suspended with the help of the wire. Homework Equations All i know is Young's modulus or 'Y' is Y=stress\strain The Attempt at a...

Hi all. I am now working on the uniaxial cold drawing on the plastic sheet (polybutylene succinate, a semicrystalline polymer). After uniaxial cold drawing, as expected, strength increased along the drawing direction/ machine direction (MD). Strength and elongation at break drastically...

Hi guys, Homework Statement how do i solve (or approximate if not solvable) this integral \int\int e^{-\alpha(|\vec{r}_1-\vec{r}_2|-r_0)^2} d^3\vec{r}_1 d^3\vec{r}_2 \alpha>0 Homework Equations none The Attempt at a Solution none

I am using one film mateial (Polyester Polyurethane) for some purpose. I have got data sheet from the manufacturer with following details: Durometer 90Shore A D 2240 Specific Gravity 1.19...

Hi I have a problem with the following question: A steel violin string has a cross-sectional area of 0.2*10^-6 m^2 and is under tension 83N. If its length under tension is 35cm, find its original length. I can not seem to solve the question without needing the value of young modulus...

Hi. I've been attempting this modulus problem from my textbook for the past hour and could not find a way to get the correct answer. Homework Statement The equation x^2 -(k+2)x + 2k + 1 = 0 ,where k is a constant has two real roots α and β. 1)Express α+β and αβ in terms of k b) if |α| =...

I hope someone can help. I am an Production Engineer. We have a situation where we have to torque a 16mm copper cable in a box terminal by 4Nm. The cable will be used to carry a high electrical current. We find that after torqueing (About 5 hours or so) the terminal can be re-tightened back...

We are studying the waterhammer in a Refinery. Since the bulk modulus is involved in this study, we will like to know where to find the bulk modulus at different temperatures and pressures for several refinery fluids such as kerosene, diesel, atmospheric and vacuum residue. We have found some...

Homework Statement The deepest point in the ocean is in the Mariana Trench, about 11 km deep. The pressure at that point is huge, about 1.13 x108 N/m2. (a) The deepest point in the ocean is in the Mariana Trench, about 11 km deep. The pressure at that point is huge, about 1.13 x108 N/m2...

Homework Statement Determine Young's Modulous (E) for the following materials: Metal alloy - Test Piece 1 (TP1) Low Carbon Steel - Test Piece 2 (TP2) Copper - Test Piece 3 (TP3) Each test piece has the same following dimentions - Length 25mm Diamter 4mm Data: TP1 = Force(kN) -...

My problem is not knowing the effects of modulus in parts of an equation ( in this case linear ) on the parts of the graph. An elaboration will be like y = |bx| + c , what's the effect on the graph compared to y = bx + c and likewise : y = bx + |c| and y = bx + c or even y = b|x| + c compared to...

Homework Statement A wire of length L, Young's modulus Y, and cross-sectional area A is stretched elastically by an amount ∆L. The restoring force is given by Hooke's Law as k∆L. b. show that the work done in stretching the wire must be: W = (YA/2L) x (∆L)^2. The Attempt at a Solution...

Ok so i was wondering if what i am doing is correct, But it gets the wrong minimum point? So my function is y=|x+4| 1) y^2=x+4 2)2y(dy/dx)=1 3)dy/dx = 1/2y 4)dy/dx = 1/2|x+4| I set that 0 and get 0=1/(2(|x+4|)) Am i write in thinking this cannot be solved? or missing something...

Hi friends, My work is related to simulation of the practical testing processes to the software testing methodologies using CAE :cool: In short, I have an assembly(3d model or CAD data) for which I have to simulate the practical testing process to the software testing and compare the...

Homework Statement A steel beam is used in the road bed of a bridge. The beam is mounted between two concrete supports when the temperature is 23⁰C, with no room for thermal expansion. What compressional stress must the concrete supports apply to each end of the beam, if they are to keep the...

Homework Statement A human bone has a youngs modulus of 10^10 N m^-2. It fractures when the compressive strain exceeds 1%. What is the maximum load that can be sustained by a bone of cross sectional area 3cm^2? Homework Equations? F= Y*(change in length/ original length)* cross...

1. Two part question. An elastic cord with cross sectional area 4.00mm^2 needs a force of 3.6N to increase its length by 12% Part One- Find the Youngs Modulus of Elasticity Part Two- The unstretched cord is 0.80m long. Find the energy stored in this strain. [b]2. Homework Equations ...

Homework Statement 6. A steel beam is used in the road bed of a bridge. The beam is mounted between two concrete supports when the temperature is 23⁰C, with no room for thermal expansion. What compressional stress must the concrete supports apply to each end of the beam, if they are to keep the...

Homework Statement Find all entire functions f(z) with the property that |zf(z)|<=1 for all z in C Homework Equations The maximum modulus principle says that the only functions that are entire and bounded are constant functions. The Attempt at a Solution I know that if f(z) is...

If I am given that mica has a modulus of 52GPa parallel to the c-axis and 179 GPa perpendicular to the c-axis, how do I figure out the elastic modulus of a polycrystalline mica where grains are oriented randomly?

what is secant modulus?

I was wondering if anyone could please point me in the direction of some background info on who (and why) someone defined the equations definition of the shear modulus, I've searched in google and wiki and havnt found anything useful. Just a link or something would be great

in young modulus of a metal bar , we have a horizontal bar on one side we attach some weight so there is some change in angle but no change in length then why it is called young modulus?

Hello, I've got |a|^{2} = |a - b + b|^{2} What can I do with this guy? Usually when the square isn't there I use the triangle inequality and things fall out pretty quick, for example, |a| = |a - b + b| \leq |a-b| + |b| Is there something like that I can do with the orginial guy?