Axis Definition and 927 Threads

The Axis powers, originally called the Rome–Berlin Axis, was a military coalition that fought in World War II against the Allies. The Axis powers agreed on their opposition to the Allies, but did not completely coordinate their activity.
The Axis grew out of the diplomatic efforts of Nazi Germany, the Kingdom of Italy, and the Empire of Japan to secure their own specific expansionist interests in the mid-1930s. The first step was the protocol signed by Germany and Italy in October 1936. Benito Mussolini declared on 1 November 1936 that all other European countries would from then on rotate on the Rome–Berlin axis, thus creating the term "Axis". The almost simultaneous second step was the signing in November 1936 of the Anti-Comintern Pact, an anti-communist treaty between Germany and Japan. Italy joined the Pact in 1937 and Hungary and Spain joined in 1939. The "Rome–Berlin Axis" became a military alliance in 1939 under the so-called "Pact of Steel", with the Tripartite Pact of 1940 leading to the integration of the military aims of Germany, Italy and Japan. As such the Anti-Comintern Pact, the Tripartite Pact, and the Pact of Steel were the agreements that formed the main bases of the Axis.Particularly within Europe, the term "the Axis" is still often used primarily to refer to the alliance between Italy and Germany, though outside Europe it is normally understood as including Japan.At its zenith in 1942 during World War II, the Axis presided over territories that occupied large parts of Europe, North Africa, and East Asia. In contrast to the Allies, there were no three-way summit meetings and cooperation and coordination was minimal, and on occasion the interests of the major Axis powers were at variance with each other. The war ended in 1945 with the defeat of the Axis powers and the dissolution of their alliance. As in the case of the Allies, membership of the Axis was fluid, with some nations switching sides or changing their degree of military involvement over the course of the war.

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  1. A

    Orientating objects to align with a specific axis

    Hi!, I'm well into the world of computer graphics. Love to say it was great but well, it isn't. I would like to know how I can take any object and have it orientate so its centre aligns perfectly with any arbitrary axis. Think of a cylinder at the origin pointing down the x-axis. Well I...
  2. S

    Enquiry: Bending not along principle axis?

    Hi, everyone. I was told that when a beam is short, L<=5H, the equation of "Stres=Moment*/2nd moment of initeria" is not valid (how). (where H = deapth of beam ; L is the location of F acting on that beam) Is that ture and is that relate to principle axis? Also if it is ture, why...
  3. N

    Precession of the Sun's rotation axis

    Hi all, As the sun is an oblate spheroid and is rotating, should not the axis of rotation be precessing, much like the Earth does? What is the axial tilt angle and what is the precession period in years? Also, what is the amplitude and period of the nutation? Are there are equations for...
  4. T

    Calculating Q (first moment of inertia) above and below the neutral axis

    Homework Statement This is the cross sectional are of the shape: http://img38.imageshack.us/i/shapep.jpg/" It's made of 2 10"x1" plates. (Picture is not to scale) Q (first moment of inertia) above and below the neutral axis should be the same. For some reasons, my calculated Q above is...
  5. P

    Rotating & Linear Shaft Movement in a Single Axis

    how to rotate the shaft and to move it linearly in a single axis
  6. U

    Does the ball rotate about its axis?

    Does the ball rotate about its axis?! Hi Newbie here, I have a disagreement with an associate. I say that a ball on a string moving in a horizontal circular path rotates about an axis perpendicular to the said circle. He insists that it doesn't as it would wind up the string if it did...
  7. T

    Question about semi-major axis of an ellipse

    I hope this the right place to post my question... should it be, "we can define a as half the sum of distances..."? please correct and explain if I'm mistaken thanks
  8. A

    Calculating the Centroid of x=2-(y^2) and the Y Axis

    Homework Statement Easy question: Find the centroid of x=2-(y^2) and the y axis Homework Equations The Attempt at a Solution Already calculated, I got an area of (4/3)(√2) Cx = 4/5 Cy = 0 When calculating Cx, in the book they have: Integral (x)(√(2-x)) And go...
  9. F

    MATLAB Correcting Axis Labeling in MATLAB Function | Need Help

    The x-axis and y-axis are interchanged in the figure by running the following MATLAB function I wrote. Could anyone help me to get it corrected? Thanks in advance for any helpful answer. function axislabeling(n) x=1:1:n; y=1:1:n; z=zeros(n,n); for i=1:n for j=1:n z(i,j)=i; end end...
  10. T

    Revolving a tank around the y axis: Work needed to pump water

    1. A tank is formed by revolving y = 3x^2, x = [0,2] around the y-axis is filled to the 4 feet point with water (w = 62.4 lb/ft^3). Find the work necessary to pump the water out of the tank over the top. I got the integral being from a = 0 and b = 4 and integrating [(12y-y^2)/3]dy with w and...
  11. T

    Calculus II: Surface area revolving around an axis

    1. Find the area of the surface generated by revolving y = (sqrt)(2x-x^2), x = [0,1] a. About the x axis b. About the y-axis This problem is from the section about surface area revolving around an axis. I actually did the problem but I am not sure on my answer. For around the...
  12. R

    Calculating Angular Acceleration of a Rotating Rod

    Homework Statement A uniform metre-rule is pivoted to rotate about a horizontal axisthrough the 40-cm mark. The stick has a mass/unit length of \mu kg/m and its rotational inertia about this pivot is 0.093 \mu kg/m2. It is released from rest in a horizontal position. What is the magnitude of...
  13. E

    Question about conservation of angular momentum around an axis

    suppose i have a solid rod of length 2L, connecting two identical point masses on either side, and this system is spining around the center of mass at a steady angular speed of \omega. another identical point mass is placed so that it collides with one of the point masses when the rod is...
  14. M

    Hi.I am using a 3 axis accelerometer for motion detection. I can

    Hi. I am using a 3 axis accelerometer for motion detection. I can easily determine the tilt using simple triginometry but cannot determine the movement in a particular direction. For example the sensor is at 45 degrees to the floor so the x,z coordinates are x = 0.5, z = 0.5. So if I keep the...
  15. K

    Saturn's Semi-Major Axis: Exploring the 10-Year Orbit

    Saturn takes about 10 years to go around the Sun once. What is the semi-major axis of Saturn's orbit?
  16. B

    Moment of inertia and axis of symmetry

    Homework Statement Derive an expression for the moment of inertia about the axis of symmetry for a cylinder of mass M , length L and radius a, where the mass density decreases as a function of distance from the axis as 1/r Homework Equations The Attempt at a Solution 1) am i...
  17. S

    Angular momentum finding the principle axis

    If an object is rotating about the axis of symmetry and you are trying to find the angular momentum about the mass centre g. Does a rotation about the axis of symmetry correspond to a rotation about the principle axis? For this question i am trying to find the angular momentum about the mass...
  18. D

    Gear basics - changing axis of rotation

    hi everyone! I'm sorry if this seems like a really easy question, but... Suppose I have a device in which manually rotating gear A clockwise causes gear B to rotate clockwise. If gear A and gear B are at a weird angle to each other (say 35 degrees), what sort of intermediate parts could I use...
  19. G

    Semi Major Axis of Jupiter's Orbit & Asteroid Period

    my question is... the semimajor axis of the orbit of Jupiter is 7.8*108. If an asteroid has an orbital period half of that of Jupiter what is the semi major axis? All i did was times 7.8*108 by 1/2 and got 3.9*108. Seems to simple!?? any comments much appreciated
  20. G

    Simple Math: Halving Jupiter's Semi-Major Axis

    my question is... the semimajor axis of the orbit of Jupiter is 7.8*108. If an asteroid has an orbital period half of that of Jupiter what is the semi major axis? All i did was times 7.8*108 by 1/2 and got 3.9*108. Seems to simple!?? any comments much appreciated
  21. C

    Visualizing Rotations: Understanding 3D Models Bounded by Parabolas

    Ok, I have to make a 3D model of a figure bounded by y=4 and y=x^2 that is rotated about the x-axis. I believe it will form an hour glass shape and I am putting two half spheres together to form the model, is this right?
  22. M

    How Do You Apply the Parallel Axis Theorem to Calculate Moment of Inertia?

    Hi everyone, I've got stuck on this prove problem:cry: Please help me! Let S be a rectangular sheet with sides a and b and uniform density, and total mass M. (a) Show that the moment of inertia of S about an axis L that is perpendicular to S, meeting S through its center, is I...
  23. G

    Could the Chicxulub asteroid have changed Earth's orbit or axis at all

    I heard that the recent Chile earthquake moved Earth's axis by 8cm or so. Could the Chicxulub asteroid (or the even bigger, Antarctic one I just http://www.dailygalaxy.com/my_weblog/2010/03/did-the-planets-most-massive-asteroid-impact-ever-occur-in-antarctica-nasa-gravity-maps-point-to-yes.html"...
  24. E

    What's it like if I were standing on earth's axis?

    Hi I am new to this forum and I am not even studying physics nor currently taking any classes in my old age. But I had a thought last night whilst tossing in my sleep and the question arose to my mind about what it would be like if I went to the North Pole and stood dead center aligned exactly...
  25. J

    Axis Alignment in Einstein's 1905 Paper: Symmetry Impact

    In Einstein's 1905 paper he says that, by reasons of symmetry, we can assume the coordinate axis of the stationary and moving frame are aligned. If the y and z axis rotate towards/away from the x-axis in the moving frame in a way dependent upon the velocity, how does this break the symmetry...
  26. L

    Strength of a bar magnets on axis field

    1. A bar magnet experiences a torque of magnitude 0.075 Nm when it is perpendicular to a 0.50 T external magnetic field. What is the strength of the bar magnet's on-axis magnetic field at a point 20 cm from the center of the magnet? 2. torque = mu*b*sin(theta), in this case just mu*B...
  27. T

    Finding area bounded by x axis, x=0, and x=5

    Homework Statement I have a problem where the graph of the equation is below the x-axis at x=0, crosses the x-axis at x=2, and is above at x=5. To find the area of this would I just split the interval into two parts, find both areas, and then add them? Or would I simply ignore the part of the...
  28. N

    Which Axis is Correct for Plotting t² and Length in Physics Graphs?

    I have to plot the period t² vs the length but now i am confused which goes on the x-axis and which goes to the y axis, i was wondering if someone could help me out with this issue
  29. S

    Moment of Inertia, for Load along Z-Z axis?

    Assuming that I have a C-Channel When the load acts along the X-X axis, we take Iyy for the Bending moment calculations. Similarly, when load acts along the Y-Y axis, we take Ixx. But if i have a load that acts on Z-Z axis, how do I calculate the Moment of Inertia? PLS SEE THE ATTACHMENTS...
  30. D

    Directions of light, its magnetic and electric fields, and axis of polarization

    Homework Statement The magnetic component of a polarized wave of light is given by: Bx = (4.00μT ) sin[ky+(2.00×1015s−1)t] What direction does the light travel, and which axis is the polarization parallel to? Homework Equations vector E x vector B gives direction of the light wave...
  31. C

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  32. J

    Need help understanding off axis electromagnet field strength equation

    I have this equation for the magnetic field strength of an electromagnet but it’s in the form of multiple polynomials. Here is the page where they all are: http://www.netdenizen.com/emagnet/offaxis/solenoidoffaxis.htm since it gives values for e_8 and p_8 I tried using the main equation up...
  33. S

    Magnetic field generated by current in semicircular loop at a point on axis

    Homework Statement Determine the magnetic field strength and direction at a point 'z' on the axis of the centre of a semi-circular current loop of radius R.Homework Equations Biot Savart Formula d\vec{B}=\frac{\mu_{0}Id\vec{r}\times\hat{e}}{4\pi|\vec{R}-\vec{r}|^{2}} e being the unit vector...
  34. James889

    How Do You Calculate the Volume of a Solid Revolved Around the Y-Axis?

    Hi, The area e^x-1 Is rotated about the y axis, bounded by y=1, x=0 and x=ln2 find the volume of the solid. And i am clearly making something wrong, so if anyone could verify my work. ~ 2\pi\int_0^{ln2}x\cdot(1-(e^x-1) -2\pi\int_0^{ln2}xe^x-2x Integration: u=x, du=1 dv=e^x, v=e^x...
  35. C

    If the Earth's axis was tilted 45 degrees

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  36. C

    Earth's Axis: What is Figure Axis & Have Astronomers Had to Readjust?

    Reports being aired in the press about the Earth's axis having moved. Well I think its a load of codswallop. but the press is reporting this as if its real. For such an event to occur would mean that all the stars would have moved in relation to the Earth by a small amount, which means every...
  37. L

    Which child has the larger linear speed and acceleration on a Merry-go-round?

    Homework Statement Two children ride on a Merry-go-round. One is 2 m from the axis of rotation and the other is 4m from it. Which child has the larger; I. linear speed II. acceleration III. angular speed and IV. angular displacement Homework Equations 1) Linear Speed: v =...
  38. P

    Kinematics, Acceleration on negative side of x axis

    The question is to find the acceleration of a certain section of a velocity-time graph, state its acceleration, if its speeding up or slowing down, and to state if its going north or south. (It states North = Positive) I was fine answering all of the questions until it went under the x axis...
  39. S

    Excel/MINITAB graphing - scaling the x axis

    I'm trying to make a bar graph from data which were taken at irregular intervals over 100m. I want the x-axis to be scaled instead of showing each data point one after another. (i.e. I'm coming out with 1-4-5 when I want 1-----4-5). I hope this makes sense - I'm not sure of the proper...
  40. M

    Electric field of a linear charge on the axis of the line segment

    Homework Statement A uniform line charge of linear charge density 5 nC/m extends from x = 0 m to x = 4 m. Find the electric field at x = 7 m. Answer in units of N/C. Homework Equations 8.85 × 10^−12 C2/(N · m^2) is the permittivity constant 8.98755 ×10^9 (N · m^2)/C^2 is Coulomb's...
  41. K

    Find the electric potential at any point on the x axis

    Two positive point charges each have a charge of +q and are fixed on the y-axis at y = +a and y = -a. (Use k, q, a, and x as necessary.) (a) Find the electric potential at any point on the x axis. V = 2kq/[sqrt(x^2+a^2)] (b) Use your result in part (a) to find the electric field at any...
  42. M

    Finding the electric field at a point on the x axis due to two charges.

    Problem: a) 2 charges are located on the y-axis at positions +2 m (-2 microC) and -2 m (-1 microC) respectively. No other charges are present. Each grid is 1 meter. Compute the x and y components of the electric field at the point indicated at the position x = +2 m. Give 2 answers, Ex and Ey...
  43. Z

    Volumn by cross sections - solving in terms of which axis confusion?

    Homework Statement I need to find the volume of the solid generated by revolving this region bounded by the curves about the x-axis. y = sqrt(x), x+y=6, y=1 Homework Equations The Attempt at a Solution I find the intersections of these curves I get: (1,1), (4,2)...
  44. M

    Force Measurement Histogram: Vertical vs. Horizontal Axis

    I am a little confused about a histogram of force measurements. I was asked for my physics lab to state what the vertical axis and horizontal axis represent for a histogram of force measurements? the physics lab consists of pulling a wooden block with a force sensor to record the tension...
  45. C

    Earth's axis of spin w.r.t. galactic rotation axis

    Can anyone confirm the Earth's spin axis direction with respect to the AXIS of rotation of the galactic center? (in this current epoch). I'm getting something like 84 degrees difference (6 degrees off perpendicular); Is that correct? If not tell me your method. Thx, Creator
  46. B

    Determining the volume of a function ratating around an axis.

    Hi all. I am a recent Chemical Engineering graduate, and I recently was program recommended into the Naval Nuclear Engineering Program. While going over a study guide for my technical interviews coming up, I came across this problem, and my mind went blank! It goes something like this: 1...
  47. R

    Finding the area of a region between curve and horizontal axis

    Homework Statement Find the area under y = 6x3 - 2 for 5 <_ x <_ 10 Homework Equations The Attempt at a Solution I'm not sure how it wants us to do it; do we use sigma notation or the general right/left-hand sums? Using sigma notation, delta T = 10-5/n T0= 5/n (?) T1= 10/n Ti = 5i/n...
  48. L

    Determine the electric field on the y axis

    Homework Statement Two 2.04 µC point charges are located on the x axis. One is at x = 1.02 m, and the other is at x = -1.02 m. Determine the electric field on the y-axis at y = 0.470 m. Homework Equations E = k*q/r^2 The Attempt at a Solution First I find the distance from one...
  49. G

    Finding the index of refraction with respect to the vertical axis

    Homework Statement Studying the mirage, we can assume that the index of refraction depends only on the vertical coordinate z. A ray of light starts from {0,0} with angle \beta\leq30. It's trajectory fits on an ellipse with major axis a and minor axis b. a) Give n(z)=? b) What is the trajectory...
  50. B

    MATLAB Matlab figure: axis re-labelling

    Hi all. i am integrating in MATLAB and plotting the results in a y-vertical and x-horizontal system. where x and y symbolize j and i of a table. I have to re-label the y-axis, so instead of a 0 to 100, it should be 100-0. Is it possible to do that or does anyone have any idea or has any...
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