Modulus Definition and 583 Threads

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

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...

Hi there, I am currently looking to measure the tensile strength using Young’s Modulus for steel and brass. My results I have obtained are comparable with published values of E. My question is regarding the formulae, the one I used was: E = F/x X l/a Where a is the original cross section...

Homework Statement Q 1. A spider with a mass of 0.26 g hangs vertically by one of its threads. The thread has a Young’s modulus of 4.7 x 10^9 N/m2 and a radius of 9.8 x 10^- ^6 m. a) What is the fractional increase in the thread’s length caused by the spider? b) Suppose a 76 kg person...

Homework Statement If a star has an apparent magnitude of -.4 and a parallax of .3'' what is : a) the distance modulus b) the absolute magnitude Homework Equations m is the apparent magnitude and M is the absolute magnitude m-M =5 log d - 5 M= m + 5+5 log(pi''), pi'' is the parallex angle...

Homework Statement The strain in a rubber ring on a rim of a wheel of radius 0.40m is 3*10^-3 when the wheel is stationary. The normal push of the rim on the ring just becomes zero when the wheel is rotating at angular speed 'omega'. Calculate the value of 'omega' if Young's Modulus for the...

Hi. I was wondeirng if anyone knew the modulus of elasticity for Basswood and Balsa wood under compression.. I found numbers but its all different.

Hi there! Can anyone help me with a problem. I did an experiment at school trying to measure the Young's modulus of a copper wire. We attached one end of the copper 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 copper wire...

Is "The modulus function" one function or two? f(x) = |x| suggests one, but f(x)=x, x>=0, f(x)=-x, x<0, suggests two.

norm is defined to be the length of the vector and we put we denote it by ||a||. However, modulus |a| also means the length of a from the origin? So, what is the difference between the symbol || || and | |?

I'm working on some basic number theory. I came across an idea and I'm having trouble finding a general solution. A == X mod (L-k) k^2 == Y mod (L-k) It is the equivalent of: ( k^2 - A ) / ( L - k ) = integer A and L are two different pre-chosen numbers. I know L-k is a prime number...

I am getting the bulk modulus from fitting the equation of states and calculating the elastic constant. It seems that there is some relationship between bulk modulus B and elastic constant Cij, B=Cij/9,where i,j run from 1 to 3. But my result is far away from this, say B=50 from fitting EOS and...

Homework Statement How do you simplify : 1^3+2^3+3^3+4^3+...+99^3+100^3(mod4) Please try to explain the solution as detailed as possible or atleast so I can understand it. :smile:

I've got a computer plot showing relations between stress and strain for steel. But how can I find the modulus of elasticity (E) from the graph? Isn't it so that E=(stress/strain)? The thing is that I get very different answers when I compute E in this way for various points on the graph.

Homework Statement Hang a 0.25 kg rock from the end of a spring. If the spring stretches 0.25 m, what is the spring constant? Homework Equations i'd assume F/A=Y(Change in L/Lo) The Attempt at a Solution I can do it if there was Area, but there isn't. there's probably another...

Homework Statement i just want to know what the modulus of the speed (u) would if Homework Equations u = (-2/r)[SIZE="4"]e[SIZE="1"]r + (2/r)[SIZE="4"]e[SIZE="1"]theta The thing is i get confused with the [SIZE="4"]e[SIZE="1"]r and [SIZE="4"]e[SIZE="1"]theta ..do these just mean the...

Homework Statement The asteriod Ceres has a mass of 1.11x10^21 kg and a diamter 772km. Ceres orbits the sun at an average distance of 414 million kilometers. Estimate the change in length of a 2m length of thin copper wire caused by hanging a 1.5kg mass on the wire on the asteriod Ceres. ...

Hello, I am currently carrying out an dynamic investigation of young's modulus for various linear materials such as copper, steel, and nylon but I am unsure how to find the modulus for wood. I have several ideas including fixing one end of a sample length of wood to bench while placing a...

Homework Statement Prove the formula of modulus of rupture using the third point loading test. R = Pl/bd^2 P: load at fracture l: length b: width d: depth Homework Equations...

I'm attempting to calculate the elastic modulus of some steel samples throught tensile testing. Unfortunately I've come across the common problem of finding a value that is 2 to 3 times lower than the expected value (due to innacurate displacement measurements). Can anyone suggest another...

Homework Statement X mod m is the remainder when x is divided by m. This value is called a residue. Find all perfect squares from the set of residues mod 16. The Attempt at a Solution There was a suggestion that this would become clearer when the definition of perfect square was...

A child slides across a floor in a pair of rubber-soled shoes. The friction force acting on each foot is 25 N, the cross-sectional area of each foot is 20 cm2, and the height of the soles is 5.0 mm. Find the horizontal distance traveled by the sheared face of the sole. The shear modulus of the...

An amusement park ride consists of airplane-shaped cars attached to steel rods. Each rod has a length of 14.5 m and a cross-sectional area of 8.25 {\rm cm}^{2}. When operating, the ride has a maximum angular speed of 8.50 rev/min. How much is the rod stretched then? Take the Young's...

An amusement park ride consists of airplane-shaped cars attached to steel rods. Each rod has a length of 14.2 m and a cross-sectional area of 7.80 cm^2. Each car plus two people seated in it has a total weight of 1950 N. When operating, the ride has a maximum angular speed of 7.50 rev/min...

A wire of length 4.95 m with a cross-sectional area of 0.103 cm^2 stretches by 6.55 mm when a load of 0.94 kN is hung from it. What is the Young's modulus for this wire? FA = Y (delta L/L) 0.103 (cm^2) = 1.03 × 10-5 m^2 6.55 millimeters = 0.00655 meters = 9221.4 N x 1.03 × 10-5 m^2 =...

A large sponge has forces of magnitude 17 N applied in opposite directions to two opposite faces of area 43 cm2 (see the figure below ). The thickness of the sponge (L is ")3 cm. The deformation angle (g is ")8.4°. (a) What is delta x? (b) What is the shear modulus of the sponge? delta x =...

The question is: Show that if p == 1 mod 4, then (a/p) = (-a/p). (Note that == means congruent). I know that if X^2==a mod p (p is a prime) is solvable then a is a quadratic residue of p. For an example, I let p = 5 since 5==1 mod 4. Then, I let X = 2 and 4 just to check the equation...

A piece of nylon rope used by a mountaineer extended by 1.5 m when carrying the load of the 80 kg mountaineer. If the total length of the rope is 50 m and its diameter is 10 mm, determine the Young’s of this material. If the Poisson’s ratio of nylon is 0.1, determine the change in the diameter...

If I have thin shell like a beach ball inflated with air how would I calculate the change in radius and resistance there of due to the pressure inside the sphere? I have calculated the strain on the sphere to be Pr/2h where P=pressure r=radius h= thickness by cutting the sphere in half and...

Distance modulus derivation (I hope this is the correct subforum) I was wondering if anyone can help me, I am hoping to show a derivation of the distance modulus m - M = 5log(d/10) It looks very similar to the m = m(sun) - 2.5log((L/L(sun)).(r(sun)/r)^2) so I'm assuming that they...