Modulus Definition and 612 Threads

Why do we call the constant of proportionality in hook's law as Young's Modulus and not as Young's coefficient? Is there any difference in Modulus and coefficient in engineering context?

Homework Statement Calculate Youngs Modulus for the copper wire We have done the experiment today, here is the data: (KG)/F(N)/x(M) 0.1/0.1g/0.0 0.2/0.2g/0.0 0.3/0.3g/0.001 0.4/0.4g/0.001 0.5/0.5g/0.002 0.6/0.6g/0.003 0.7/0.7g/0.004 0.8/0.8g/0.005 0.9/0.9g/0.006 1.0/1.0g/0.009 1.1/1.1g/0.029...

Homework Statement Consider a cylindrical specimen of some hypothetical metal alloy that has a diameter of 10mm. A tensile force of 1500 N produces an elastic reduction in diameter of 6.7e-4mm. Compute the elastic modulus of this alloy, given that poisson's ratio is 0.35. Homework...

Homework Statement "A brass wire with Young's modulus of 9.1 1010 Pa is 2.1 m long and has a cross-sectional area of 4.6 mm2. If a weight of 5.0 kN is hung from the wire, by how much does it stretch?" The answer is to be given in cm. Homework Equations I used the equation for...

Hi.. Anybody knows the Elastic modulus of crazy glue? Thanks

A little help please, rotational and youngs modulus Homework Statement A solid Ball with a mass of 3kg and r=1m is suspended in the center of a hollow ball of mass=1kg and r=3m. It is placed at rest on a 33 degree incline. after rolling 1km along the incline what's the final tangetial...

Homework Statement A wire of length 4.97 m with a cross-sectional area of 0.101 cm2 stretches by 6.53 mm when a load of 0.92 kN is hung from it. What is the Young's modulus for this wire? Homework Equations (F/A) = Y(Change in Length/Initial Length) The Attempt at a Solution (920...

I have been trying to solve the following inequality. Solve the equation: (2x+3)/(x-5)<¦(4x+12)/(x+1)¦ (where ¦¦ is meant to be modulus) I tried to solve this, firstly by using the positive modulus: (2x+3)/(x-5)<(4x+12)/(x+1) which gives me two solutions:- 1) x< (13-SQRT(673))/4 and 2)...

x=2 (mod6) x=3 (mod9) has no solution How can I prove this?

Homework Statement Although human beings have been able to fly hundreds of thousands of miles into outer space, getting inside the Earth has proven much more difficult. The deepest mines ever drilled are only about 10 miles deep. To illustrate the difficulties associated with such drilling...

Homework Statement I was not in for the Young's Modulus of copper wire experiment, so a friend gave me their data. It seems very wrong and the graph will in no way give proportionality. The Attempt at a Solution Does anyone have data or results from old school days or anything at all...

Homework Statement I have been asked to calculate the bulk modulus for a carbon dioxide solid from data I have calculated. I have made a quick plot of unit cell size vs pressure (sorry for no labels, unit cell is Y axis as square angstroms, and pressure is in GPa), which looks ok...

y = |x| can't go below the y-axis because a Modulus is always positive, but can you get a modulus that stops x going negitive? Could this be used for things like radioactive decay where the graph should go in -x but doesn't because you can't have - time?

Homework Statement I had to do an experiment and create a graph with the data. We attached one end of the Iron wire to a clamp and then tied on weights of 100g at a time to the other end so that a force can be applied to the Iron wire and so it stretches. (as pizza1512 did but in copper)...

Hi, I'm trying to find a formula to help me find either the Moment of Inertia for a cruciform (rectangular cross) or better yet, its Section Modulus (S). Please see attached image.

Homework Statement I have to prove the following claim. Claim: For any positive integers m and n, m and n both greater than 1, if n|m and a≡b(mod m), then a≡b(mod n).Homework Equations n/aThe Attempt at a Solution so i first changed each equation (ex: a≡b(mod m)) to a=b+qm and a=b+qn I...

Homework Statement A solid copper cube has an edge length of 87.0 cm. How much pressure must be applied to the cube to reduce the edge length to 85.7 cm? The bulk modulus of copper is 1.4 multiplied by 1011 N/m2.Homework Equations Vcube= s^3 F/A=(B x deltaV)/V p=F/A p=(B x...

We done an experiment of tensile test where we used the testometric machine that pulls different kind of material (aluminium, PVC, steel, brass) and generated graph stress/strain and etc, now we come to these questions: 1. Explain why the plastics/ polymer has a lower modulus and strength...

I'm trying to figure out how to prove that every polynomial in \mathbb{Z}_9 can be written as the product of two polynomials of positive degree (except for the constant polynomials [3] and [6]). This basically is just showing that the only possible irreducible polynomials in \mathbb{Z}_9 are the...

How can I get the elongation if I'm given with only the modulus of elasticity? what will be the formula? THnx..

hi i have been given these results in order to work out the young's modulus can any 1 tell me how i go about doing this Force (kN) Extension (mm) 0.5 0.003 1 0.011 1.5 0.019 2 0.021 2.5 0.024 3 0.032 3.5 0.040 4 0.043 4.5 0.050 5 0.060 5.5 0.064 6 0.070 6.5 0.076 7 0.081...

Youngs modulus of a cantilever, help please! [1] BACKGROUND: I am doing an experiment determining the young's modulus of a cantilever through principles of SHM (i.e. hypothesis: higher youngs modulus = higher frequency of oscillation. See the attached Pictures for the diagram (strobe is...

Homework Statement I'm doing some preliminary research for a potential IB extended essay topic. It involves thermal stresses in fused glass; details aren't that important right now. But I need to find a table, equation, or SOME sort of reference that gives me the relationship between the...

Homework Statement Solve | \frac{x}{2} +3 | > 3-x^2 Hence, solve | \frac{e^x}{2} -3 | > 3-e^{2x} Homework Equations The Attempt at a Solution I've solved the first part. But I have no clue what is the link to the second part?! could there be just typo to the question?? I...

hi all, i was studying modulus when i came across this mod(xy) = modx mod y we consider 3 cases whereby both positive , both negative, or positive negative it reads here if we consider x and y to be negative it will be something like this mod xy = xy = - mod x ( - mod y ) = mod x mod...

Homework Statement Find the solution set of: |x+1| + |x-2| \leq 5 Homework Equations I'm going to rearrange this to |x+1| \leq 5 - |x-2| The Attempt at a Solution Well i sketched a graph of it. The line 5-|x-2| cross the y-axis at 3 and it 'pongs' back of the x-axis at -3...

Homework Statement A hanging wire made of an alloy of titanium with diameter 0.15 cm is initially 2.8 m long. When a 109 kg mass is hung from it, the wire stretches an amount 1.41 cm. A mole of titanium has a mass of 48 grams, and its density is 4.54 g/cm^3. Based on these experimental...

Hi everyone, Ok I'm trying to revise modulus functions etc and this is supposed to be an 'easy' question but I came up with the wrong answer so now I'm getting confused. I have to solve |x+2| - 1 <2 I used the formula: |x| < b <------> -b < x < b And this is how I used it: |x + 2| - 1<2...

[SOLVED] complex analysis - maximum modulus &amp; analytic function Hi all, I'm having difficulty figuring out how to do the following two problems in complex analysis. I need help! 1. Consider the infinite strip -\pi< I am z < \pi. Does maximum modulus principle apply to this strip? Why or...

Homework Statement I'm supposed to calculate the youngs modulus of a 2 meter length of copper wire. Homework Equations None The Attempt at a Solution for 30SWG i get 26GPa for 38 i get 3.1 GPa and for 24 i get 49 GPa Youngs modulus of copper is meant to be ~100GPa (from wiki)...

Assume that Young's Modulus for bone is 1.50x10^10 N/m^2 and that the bone will fracture if more than 1.50x10^8 N/m^2 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) If a force of this...

The deepest point in any ocean is in the Mariana Trench, which is about 11 km deep, in the Pacific. The pressure at this depth is huge, about 1.13 X 10^8 N/m^2. (a) Calculate the change in volume of 1 m3 of seawater carried from the surface to this deepest point. wrong check mark m3 (b)...

Homework Statement Help I have spent a couple of days on this one and I am lost... What would the force constant be for a 75.0 cm length of 16-gauge (dia=1.291mm) copper wire? Y copper=11x10^10 Pa The answer being in Nm. The problem is I don’t even know where or how to approach this...

For z3=3e^(-ipie/4) where does the function intercept the imaginary axis and what is the modulus?

Homework Statement A large 3.00×10^4 L aquarium is supported by four wood posts (Douglas fir) at the corners. Each post has a square 3.80 cm x 3.80 cm cross section and is 80.0 cm tall. By how much is each post compressed by the weight of the aquarium? Homework Equations deltaL =...

i have a set of values for shear stress and shear strain. how do i work out the modulus of rigidity?

Homework Statement A wire of length 4.97 m with a cross-sectional area of 0.104 cm2 stretches by 6.52 mm when a load of 0.92 kN is hung from it. What is the Young's modulus for this wire? Answer in Pa Homework Equations F/A = Y(Change in L / L) where F is the magnitude of force A =...

Dear Friends Can anybody provide me the valus of the Youngs modulus and Poisson`s ratio of MgTiO3 (geikielite) ceramics or single crystal. If data is not available with you, please suggest me a good reference to get these valus Thanks in advance KPS Portugal

Labratory measurements show that when a certain material has a grain diameter of 2.33x10-2 mm it's yield strength is 107 MPa. When the material's grain diameter decreases to 1.84x10-2 mm it's yield strength increases to 117 MPa. When the average grain diameter is increased to 3.28x10-2 mm...

Winkler foundation modulus...? I need to find the Winkler foundation modulus of bone. Does anyone know this or know of a means to calculate this? Thankyou.

I seem to be going a bit brain dead here, but in youngs modulus, how are the units in GPa as they are in one of my product specs I've just received? Lets say we have stress in kN/m^2 and strain has no units, then surely E should be in kN/m^2?

proof of velocity =\sqrt{\frac{B+\frac{4*n}{3}}{density}} B bulk modulus n modulus of rigidity

Homework Statement My textbook says, delta V = [-3V delta p (1 - 2c)] /E where, delta V = change in volume delta p = change in pressure c = poisson's ratio E = young's modulus Taking the limit as delta p tends to zero, we can write the bulk modulus K as, K = -V dp/dV but I'm not...

Here's a (hopefully) quick question for you guys... I'm completely stumped on this problem; any help would be appreciated. Homework Statement A walkway suspended across a hotel lobby is supported at numerous points along its edges by a vertical cable above and a vertical column underneath...

Homework Statement I am trying to solve one theoretical problem. If I had an Iron piston cylinder with radius of 1 cm, such that it contains 1 liter of water(therefore about 318 cm tall), ( say Bulk Modulus of water is 1 GPascal), How much work(in joules) will be required to depress...

Homework Statement The problem is that I do not have a way of making a nylon rope young modulus stress/strain graph I did not know is anyone would be able to help me obtain the information on the stress and strain or if your feeling really nice make me up a graph! young modulus = stress...

Homework Statement The figures below shows the forces acting on a tibia (shinbone, the long vertical bone in the figure) when a person stands on the ball of one foot. As shown, the force of the tibia on the ankle joint for a person (of weight 750 N) standing this way is 2800 N. The ankle...

I have a question in an assignment and am using the Θ = LT/JG equation to find the angle of twist in an I section beam to be used in a monorail. I have all other figures to put in the equation but am not sure where i get G value from Help :o) Thank you

My cwk is investigating the youngs modulus of a scooby. A scooby is a hollow plastic string like thing. My experiment used the pulley clamped to the bench method and attaching weights. I have my results and have worked out the change in area for each load and have a graph of stesslog10 vs...

Urgent help! Young modulus how to hold masses In a young modulus experiment Ieed to holdp the msss i decdied to use hole puncher at both ends I relsiedthis woodnt work becaue strech properly I culd use bull dogclips but masses may make it fall off Wha do u nomally use in a young modulus...