Axis Definition and 928 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. H

    Drawing (not too simple) Cosine waves on the x and y axis.

    I have to draw cosine waves in relation to pattern formation for mathematical biology, for example, I have to plot things similar to these on the x-axis; cos( 2*pi*x / √5 ) from x= 0 to √5 cos( 3*pi*x / 2 √5 ) from x= 0 to 2√5 cos( 3*pi*x / 2 √(5/6) ) from x=0 to 2√5 And with the y-axis; cos(...
  2. H

    Rotating a Curve & Line Around the X Axis: A Math Problem

    Homework Statement The curve x=y^(2) and the line x=4 is rotated about the x axis. Homework Equations pi* integral from a to b of Radius^(2) The Attempt at a Solution pi* integral from 0 to 4 of (square root of x)^(2) dx. My teacher has this answer as 8pi but I think that that...
  3. B

    Mathematica Mathematica: How to change units od axis

    Hello, I would like to know, how can I change units showed in axis. I would like to change those relative units (20000, 40000...) to μm. The conversional relation is 50 = 1μm, so instead 20000, 40000 i would like to have 400μm, 800μm. I enclose picture where it should be more clear what I am...
  4. W

    Magnetic field on the axis along the plane of loop

    Homework Statement A circular loop in the XY plane of radius R and with current I moving in the counterclockwise direction. Compute B at (L,0,0) for L >> R0. Homework Equations Biot–Savart law dB= μ0I/4∏ *(dl X r)/r^2 The Attempt at a Solution I know that the B on the axis...
  5. M

    Tilt of the earth's axis. Why does it change?

    I recently read that the Earth's axial tilt fluctuates between 22 degrees and 24 degrees. Can someone explain what causes the tilt to change? If I assume the Earth is perfectly spherical, gravitational forces cannot change the tilt. So, is that the reason i.e. that the Earth is not perfectly...
  6. D

    Rod rotational inertia - axis at end of rod

    I want to ask why a rod's rotational inertia with rotational axis at its end is not 1/2 mR2 but 1/3 mR2?
  7. T

    Angular momentum about an Axis and a Point

    I was wondering if the angular momentum of anybody with constant \omega (angular velocity) about a point on the centre of the circular path and about any point on the axis of rotation is the same...
  8. C

    Electric field = 0 at what point on x axis?

    Homework Statement you have a +3C and a -1C charge on the x axis. the +3C charge is at the origin and the -1C is at x=1. At what point on the positive x-axis does E=0? Homework Equations E=kQ/r^2 The Attempt at a Solution So i have E=(-1k/r^2)+(3k/(1+r)^2) Setting E=0...
  9. D

    Rotation energy in a ball symmertical molecule, why only two axis?

    I was just wondering that when we have a molecule, and you introduce heat, the molecule starts to get translation, rotation and vibration energy. I'm considering just a molecule with two atoms and one axis which binds them together. Now the real question is that why is there only two axis in...
  10. R

    Rate of spin being equal in x and y axis

    I've asked my self this question. How is it that when you spin a bicycle wheel in a vertical plane while holding the axil only on one side that the whole essembly doesn't comes tumbling down. OK, now I know how that is possible. What I'm wondering now is if you take that essembly and rotate it...
  11. S

    Am I doing this right? Doesn't feel right. (find axis of rotation)

    Homework Statement So here is the question: Matrix A corresponds to the linear transformation T obtained by first rotating a vector in R3 through angle ∏/3 about the z axis and then through angle ∏/4 about the x-axis. Find the parametric equation for the axis of rotation. Homework...
  12. J

    Distance from a point on an ellipse to the axis

    Hi, Concerning only the upper right quadrant of an ellipse... I know the distance from the center of the ellipse to the top of the ellipse, (semi-minor axis "b"), is 1000. I know the distance from the center of the ellipse to the side of the ellipse, (semi-major axis "a") is 1732. At the...
  13. K

    Bending Moment & Neutral Axis: Why Not Centroid?

    Hey guys, as the title says I can understand why the neutral axis does not pass through the centroid after reaching a point where the bending moment is max before the beam collapses. Say you have a straight structure supported by two double I-Beams and a weight in the middle. Why does the...
  14. L

    Tri Axis Accelerometer Data Help

    Hi I am studying Sports Science and researching the use of an accelerometer during specific wieght training type movements. I have a MEMS device (unfortunately I only have mininal details regarding it) which can measure upto 24G and 400Hz and comes with basic software that transfers the data...
  15. H

    Perturbation of 2D Oscillator along one axis

    The problem given is a perturbation on the two dimensional harmonic oscillator where the perturbation is simply: H'=-qfy. It seems that all of the elements of the matrix H' are zero and so constructing a diagonal matrix in the subspace is eluding me. Any ideas?
  16. L

    How to graph acceleration vectors on position axis?

    suppose I have two position functions in terms of time. One position function for the x component and the other for the y component. The y component is of constant acceleration. The x component is of constant velocity. How do I represent acceleration on a graph of this type? Here is an...
  17. M

    Electric Field on Central Axis

    Homework Statement Which describes the electric field on the central axis through a ring of uniform positive charge? A. The field vectors point along the axis and toward the ring on both sides of the ring. B. The field vectors point along the axis and away from the ring on both sides of...
  18. J

    What is the physical meaning of moment about an axis?

    i.e. "A F = <0,0,10> is exerted at the point (1,1,1) what is the moment about the X axis?" i know the answer is <sqrt(3),sqrt(3),sqrt(3),> DOT (<1,1,1>x<0,0,10>) but the physical meaning of that escapes me. in what applications would an axis be more useful than a point? thanks!
  19. M

    Need to understand: derivating euler rotation from fixed axis rotation

    Homework Statement Homework Equations given in question The Attempt at a Solution I already know the solution but I don't understand what it means the process is simply fixed(c,b,a) to euler(a,b,c) Rz(a)=Rz(a) Ry(b)=Rz(a)Ry(b)Rz'(a) Rz(c)=Rz(a)Ry(b)Rz(c)Ry'(b)Rz'(a) write it in fixed...
  20. G

    What is the Semi Major Axis of a Binary Star System?

    need help please in calculating semi major axis(SMA) of a binary star.. if for example the orbital distance of star A is 50AU and star B is 100 AU from the centre of mass what would the SMA be? is it as simple as the half way point ? ie 75AU? thanks in advance
  21. G

    Electric Force Calculation with Two Point Charges on Axis - Step by Step Guide

    HELP I don't understand at all Homework Statement Two positive point charges on the y-axis, each of which has a charge of 5.0 10-9 C, are located at y = +0.60 m and y = -0.60 m. Find the magnitude and direction of the resultant electric force acting on a charge of 7.6 10-9 C located at x =...
  22. V

    Finding the Minor and major axis lenths of an ellipse from conjugate diameters

    Hello, I'm having a problem finding the minor and major axsis lengths of an ellipse from three points, the ellipse's center, and two conjugate end point diameters. I have no problem solving the problem when the conjugate diameters align with the minor and major axsis, but when they don't the...
  23. K

    Coulomb's law electric field charge on y axis

    Is this question worded poorly or is it just me? Three charges are on the y-axis. Charges -q are at y = ±d and charge + 2q is at y = 0. (a) Determine the electric field E along the x-axis. (b) Verify that your answers to part a has the expected behavior as x becomes very small and very...
  24. T

    Clarification on the (+,-) of gravitational value along it's Y axis

    Could someone please clarify, i thought i understood but some reading has brought some confusion. As far as the gravitational value of free fall equations are concerned, is 9.8m/s or the 32ft/s (+,-) when the object is falling. The formula y=Vyo-1/2gt^2 chris
  25. J

    Finding the total area between the curve and x axis

    Homework Statement find the total area of the region between the curve and the x- axis Homework Equations 1) y=2-x, 0≤x≤3 2)y=3x^2-3,-2≤x≤2 3)y=x^3-3x^2+2x, 0≤x≤2 4)y= x^3-4x, -2≤x≤2 The Attempt at a Solution I've tried using my graphic calculator to see what the graphs looked...
  26. F

    Principal normal line to helix is normal to z axis

    Homework Statement DoCarmo Section 1.5 problem 1 part d. Show that the lines containing n(s) and passing through a(s) [a is the curve, and n(s) is the unit normal vector] meet the z axis under a constant angle of pi/2. Helix: a(s) = (a cos(s/c_, a sin(s/c), b*s/c), so I computed n(s) =...
  27. M

    Find the direction of vector R counterclockwise of the + x axis

    Homework Statement Find the direction of vector R counterclockwise to the + x axis Homework Equations The Attempt at a Solution This kind of threw me off balance. I know to get the direction of the vector R for the problem is arctan (5.07/10.87) which gives me 25. However the...
  28. D

    1 = v^2 + t^2? and look at spacetime as velocity as x axis, time as y axis.

    I am not so sure how to explain this. But when looking at sqrt( 1 - v^2/c^2 ) for time dilation. It seems to follow that you may be able to think about it as 1 = v^2 + t^2 if look at v as fraction of c, and t as the amount a clock will be dilated. Then you could think about it in your frame...
  29. B

    Common Volume of 2 unequal cylinders with axis that don't intersect

    1. This isn't homework, this is personal study, but i think it really fits the form of a "textbook style question". I need to find the volume of two intersecting circular cylinders of unequal radius and axis that don't intersect but are at right angles. 2. i have no relevant...
  30. Darth Frodo

    Axis question for electricity experiment question.

    In an experiment to demonstarte relationship between current and p.d. in an electrilyte the book says to plot current on the Y axis. Why is this? V = IR R = V/I I always assumed when you plot graphs, the slope must equal the constant. Any input appreciated.
  31. L

    Vector components on Tilted Axis

    θHomework Statement Find the components N_{x} and N_{y} of vector N in the tilted cooridinate system. Homework Equations cosθ = adg/hyp and sinθ= opp/hyp The Attempt at a Solution The correct answer is supposed to be N_{x} = -Nsinθ and N_{y} = Ncosθ The error...
  32. R

    Rotation about a fixed axis problem

    Hi guys I was trying not to post this as it is difficult to understand without the diagram, but I will try and give you a visual. Basically there are 2 pulleys attached together on the one pivot, the larger one is driven by a belt that is driven by a motor. The inner pulley is used to hoist the...
  33. R

    Simple Mohr's Circle Question - Axis scales?

    I'm just wondering about using a Mohr's Circle, do I need to use the same scale for the x and y axes, as surely otherwise my choice of scale greatly impacts the results. I am using one to get my principle second moment of areas, Ix and Iy, for an equal L section. Ix and Iy are where the...
  34. C

    Moment of inertia of triangle rotated about y axis

    Similar to my other thread https://www.physicsforums.com/showthread.php?t=557750 I think in this case I need to use triple integrals But what is the integrand and limits? Can someone please help me set it up? Here's all I know ∫∫∫dydx Please help I have my final next wednesday.
  35. S

    Number of images formed by two concave lens, one displaced from optical axis

    Homework Statement A biconvex symmetrical lens is cut in two halves and placed as shown in figure. if a point object is placed in the left how many images will be formed options - (a) Two images (b) Three images Homework Equations The Attempt at a Solution As I...
  36. K

    Two points are on a disk that rotates about an axis perpendicular to the plane

    Two unequal masses m and 2m are attached to a thin bar of negligible mass that rotates about an axis perpendicular to the bar. When m is a distance 2d from the axis and 2m is a distance d from the axis, the moment of inertia of this combination is I. If the masses are now interchanged, the...
  37. S

    MATLAB Help Needed: Add Axis, Draw Arm Pieces, Rotate Objects

    LEASE HELP! -Add an axis to current rectangle -Draw both piece of arm -rotate object first axis 20 degree --redraw. -then, rotate 2nd part about 2nd axis to -30degree my current code for rectangle is %RECTANGLE('Position', [x y w h]) w=4.5; %width h=.5; %height x=1.75;y=2.75...
  38. M

    Understanding Rotation Axis in Equilibrium: Exploring Torque and Center of Mass

    This is about a little thing that I have a lot of trouble understanding, and which always bugs me when studying equilibrium. I've often tried to apply the concepts of torque in this context, but nothing ever seems to make sense. I consider a uniform rod which is initially at rest, and is not...
  39. M

    What Does the XY Plane Look Like in 3D Rotation Scenarios?

    Look at picture for more details... Book says... " A body is free to rotate only about the z-axis. Within the body any particle of mass m can move only in a plane parallel to the xy plane." What would the xy plane look like? I am assuming by "xy plane" this does not mean x and y axis...
  40. A

    Angular velocity of a rod rotating around a vertical axis

    Homework Statement An homogeneous rod is fixed to an extremity and is rotating around a vertical axis, doing an angle of theta with the vertical. (in the scheme I made I wrote alpha but it's theta! (θ)) If the length of the rod is L, show that the angular velocity needed to make it turn...
  41. P

    Neutron star spin and rotation axis

    Neutron stars are thought to be rotating in a way that their beems are seen as the pulses. The beems are not aligned with the axis of rotation. What is the current theory about the speed of the axis of rotation? Are they spinning and rotating on both axis?
  42. L

    Ball rolling down a surface - where is the axis of rotation?

    In my textbook, it says that when a ball rolls down a surface, inclined or not, the point of contact can be thought of as the pivot or the axis of rotation, since at the point of contact, the ball's velocity is zero. Makes sense, but then the textbook becomes inconsistent in problems solving...
  43. J

    What is and how do I use the Parallel axis theorem

    I have in my problem, a ball sitting on a cylindrical rod that pivots at the bottom, some guy in the explanation said parallel axis theorem and came up with moment of inertia of: I = (mL^2)/3 + [2Mr^2/5 + M(L+r)^2] where L is the length of the rod, m is the mass of the rod, M is the mass of the...
  44. K

    Rotation of a Rigid Object around a fixed axis

    As a result of friction, the angular speed of a wheel changes with time according to dθ/dt = ω_o*e(-σt) where ω_o and σ are constants. The angular speed changes from 3.50 rad/s at t=0 to 2.00 rad/s at t=9.30s. (a) Use the information to determine σ and ω_o. Then determine (b) the...
  45. L

    Vertical Axis Wind Turbine Design Questions

    Hello All, I'm currently in the process of designing a numerical model for a vertical axis wind turbine, more specifically, a straight blade giromill. I'm currently having trouble because depending on the variables I choose, I can produce more power than available from the wind. My...
  46. C

    How Can I Make an Object Revolve Around a Tilted Axis?

    I am writing a little code that should make an object revolve around a tilted axis. Here is what I have: -The center coordonates -A normal array (3 numbers between 0 and 1); -position of the object. Is there a way to do this? I think...
  47. E

    Variable power as an axis, nonsense? please comment

    Hello, Does anyone know if this makes sense or is usable? I've only been able to describe it through a graph. Instead of the x-axis being numbers, being powers of x. Let me clarify - where normally would be x=0,1,2,3... would now be x^0, x^1, x^2, x^3 and the y-axis would be values of...
  48. B

    Elliptical Orbit's curvature the same at opposite ends of semi-major axis?

    Let the elliptical orbit be bisected through the semi-minor axis... Ellipses are symetrical and both sides here are mirror images of each other, true? If so, then they share matching curvature at opposite ends of the semi-major axis (and opposite ends of the semi-minor axis, and reflections...
  49. V

    Problem in choosing axis in rotational mechanics?

    In rotational mechanics i am mostly confused with the axis of rotation. Let me give you some examples of question. about which axis. Is that instantaneous axis of rotation. OK this may seem to be solved here but what about this question. Now once again. which axis should i choose...
  50. H

    MATLAB MATLAB changing axis labes on step()/margin() functions help required please

    Hi all, I am having a little trouble with a MATLAB GUI that i am writing, with GUIDE. Its purpose is basically to display the bode diagram and step response of a transfer function, and allow the user to change controller parameters/time delays and such to see the affect. I won't post my code...
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