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. R

    Why does the axis of rotation pass through the metacentre?

    When a ship heels, the centre of buoyancy of the ship moves laterally. It might also move up or down with respect to the water line. The point at which a vertical line through the heeled centre of buoyancy crosses the line through the original, vertical centre of buoyancy is called the...
  2. S

    Moment of inertia about a perpendicular axis through its center?

    Homework Statement A 15-cm-diameter CD has a mass of 21 g . What is the CD's moment of inertia for rotation about a perpendicular axis through its center?Homework Equations I = (1/2)MR^2 3. The Attempt at a Solution I = (1/2)(0.21g).((15/2)^2) = 5.9*10^-4 kg*m^2 cant see what I am...
  3. S

    Rotational inertia hoop around a central axis

    Homework Statement Homework Equations I= mr^2 for a hoop around a central axis I= 1/12 (m)(l)^2 for thin rod about axis through center perpendicular to lenght The Attempt at a Solution I am totally confused. i said first that the three masses each will make a hoop shape so i found I=mr^2...
  4. archieab

    Converting PyGame 2 axis joystick float to 360 angle

    I would like to convert my joystick's two axis float (horizontal and vertical) to a 360 angle that can be used to set a players direction in my game. From my research, I've found the best route to take is using Atan2. Variables: self.rot = 0 horaxis = joy1.get_axis(0) veraxis = joy1.get_axis(1)...
  5. S

    Uniformly charged ring on the axis

    Homework Statement The electric field on the axis of a uniformly charged ring has magnitude 360 kN/C at a point 6.2 cm from the ring center. The magnitude 19 cm from the center is 150 kN/C ; in both cases the field points away from the ring. Homework Equations 1. Find the ring's radius. 2...
  6. Zubair Ahmad

    Optics question -- Object and Image on the optical axis....

    Is it necessary that the image of the point object placed on the axis of optical system has its image formed on the axis? Consider paraxial approximation.
  7. A

    Automotive Can two motors rotate about the same axis?

    can we add two motors to rotate same object on same axis or is it impossible? for a stronger rotation and torque two motors rotating object in same direction
  8. M

    Is a conventional lathe a 1.5 axis machine tool?

    In a lathe, the cutting tool can be moved in the horizontal plane(x and y axes).So x and y are the 2 axes. But one of my teachers said that lathe is a 1.5 axis machine.Is it right? Why are conventional drilling press,shaper and planer half axis machine tools?
  9. MeAndMyLucidLife

    B Why do most of the celestial bodies rotate about their axis?

    Every celestial body revolves around a relatively massive celestial body due to the gravitational influence. But what is the reason behind their rotation about their own axis? What thing initially triggered their rotation? Does it have something related to the origin of the universe?
  10. A

    Pendulum rotating about an axis

    Homework Statement [/B]Homework EquationsThe Attempt at a Solution Sir if the pendulum is given an angular velocity about the -he z axis then whether eq 1 is right for balancing force and I have a contradict regarding eq 2 and eq 3[/B]
  11. DoobleD

    I Vertical axis of the CMB power spectrum

    Why is the vertical axis in the CMB power spectrum usually chosen as ##l(l+1)C_l/2\pi## instead of simply ##C_l## ? The only answer I found come from this post on stackexchange, but the answer doesn't seem very complete. Anyone knows ?
  12. M

    What is the region enclosed by curves y=x, x =2 and x axis?

    Homework Statement I said it is 0 less than or equal to x less than or equal to 2 and 0 is less than or equal to y which is less than or equal to 2. Is that correct? Homework EquationsThe Attempt at a Solution
  13. B

    How to calculate the torque for a vertical axis wind turbine (VAWT)

    For my senior design project we are designing a vertical axis wind turbine (VAWT) and trying to increase efficiency by adding flexible parts to the blades. We are currently in the process of ordering a motor/generator where we can test our new model against the same model but with standard...
  14. F

    Find the electric field at a point away from the charged cylinder's axis

    Homework Statement Homework Equations ##E=\frac{kQ}{r^2}## 3. The Attempt at a Solution ##Q_{enclosed} = 0 ## , because there is no charge inside the conducting cylinder. E = 0 Can anyone check my answer please ?
  15. V

    Moment of inertia of a half disk about an axis

    Homework Statement Consider a half disk (of uniform density) with the flat end lying on the x-axis, symmetric about the y-axis (i.e. being cut into two quarters by the y-axis). Calculate the moments of inertia about each of the axes. Homework Equations $$I_{rr}=\sum_{i}m_ir_i^2$$ The Attempt...
  16. F

    Electric Field from Charged Cylinder | Radial Distance

    Homework Statement Homework Equations The Attempt at a Solution Can someone tell me where is my mistake ?
  17. J

    Three principal axis moments of inertia for hexagonal prism?

    Homework Statement I'm trying to figure out the mass moments of inertia for a hexagonal prism, with the z-axis being longitudinal. I'm trying to recall my calc 3 from 2 years ago and am failing miserably. I know the height of the prism is h. Each hexagonal side is length a. The prism has...
  18. K

    Parallel Axis Theorem / Bending Stress

    Homework Statement find bending stress in x and y dir Homework Equations I = bh^3/12 + ad^2 Stress = Mc/I The Attempt at a Solution I = bh^3/12 + ad^2 Stress = Mc/I see attached calculations My prof gave us a question where we have a motor (20" tall) sitting on a frame with a load of...
  19. W

    A Intermediate Axis Theorem - Lyapunov's Indirect Method

    So I'm investigating the stability properties of the following nonlinear system of equations: \frac{dx}{dt}=-\rho k_2 \cos(x) \cos(y) \sin(y) \frac{dy}{dt}=-\rho \sin(x)[k_1+k_2\sin^2(y)] where \rho > 0 \text{ and where } k_1 \text{ and } k_2 are real constants. In particular, I'm looking...
  20. K

    MHB Angle between line and the axis

    Consider a 3D straight line passing through z-axis. Following two angles are given (available): (1) Angle of the line with the z-axis in X-Z plane (2) Angle of the line with the z-axis in Y-Z plane I want to know the true angle of the line with the z-axis, i.e.,the angle of the line with...
  21. B

    Parallel Axis Theorem Experiment

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  22. L

    MHB What is the axis of symmetry of quadratic function f(x)=-2x^2-(1/2)

    The problem is: f(x)=-2x^2-(1/2) Determine if this statement is true of false: The axis of symmetry is x=-2. What is the axis of symmetry? How can you figure out the axis of symmetry without a b value, since the formula for it is x=-b/2a
  23. Math Amateur

    MHB Axis Through x in the direction u .... in R^k .... ....

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  24. A

    Field of a circular loop around its axis issue

    Good , i want to derive the formula for field of a circular loop around its axis but i was stucked with the following point: they consider dl perpendicular to r ! why is that?? many thanks in advance!
  25. SchroedingersLion

    Precession - why does the rotational axis change as L changes?

    Hi guys, while going through rotational energy levels of molecules, I found myself struggling with a very basic concept. The concept of precession, in terms of a torque induced rotation of the rotational axis of a spinning rigid body. Take a glance at the Wikipedia figure...
  26. J

    Why are the motor brushes not placed in the magnetic neutral axis?

    In given figure of interpoles connection for a DC Machine, why the carbon brushes connected to the commutator are not placed in the Magnetic neutral axis? The given position will induce more sparking. Interpoles solution is from following website...
  27. Y

    Two masses connected by spring rotate around one axis

    Homework Statement Take the x-axis to be pointing perpendicularly upwards. Mass ##m_1## slides freely along the x-axis. Mass ##m_2## slides freely along the y-axis. The masses are connected by a spring, with spring constant ##k## and relaxed length ##l_0##. The whole system rotates with...
  28. hhhp8cec1

    Semi major axis - planetary Science

    Homework Statement A comet with a perihelion distance of d = 1.242 is currently 211(degrees) from pericenter, and 4.499 AU from the Sun. Compute the semi-major axis a of this comet’s orbit. Homework Equations P(^2) = a^3The Attempt at a Solution I tried to use Kepler's third law but I don't...
  29. T

    I Integration above or below axis

    If you are trying to find the integral of a function with a complex pole on the real axis (i.e. ##[-\infty,\infty]##) via analytic continuation, does it matter if you integrate along a contour either in the upper-half plane or lower-half plane? I was under the assumption that either approach was...
  30. Biker

    Instantaneous axis of rotation

    I studied statics but I thought I can figure out the dynamics part. In a rectangular shape that is tipping, Usually we take the center of mass as an axis of rotation however the center of mass is accelerating with centripetal force so taking it would make the problem complex and we just take...
  31. lawsonfurther

    Angular momentum about a parallel axis O'

    Homework Statement A system has total angular momentum L about an axis O. Show that the system's angular momentum about a parallel axis O' is given by L'=L-h×p, where p is the system's linear momentum and h is a vector from O to O'. Homework Equations L=r×p or considering a mass element...
  32. M

    Shape of water in a rotating container along A vertical axis

    Hi! I am currently working on a project that includes rotating a water-filled container. The container is NOT spinning about its vertical axis, but about the vertical axis of the rotating disc. I am aware that the surface shape of water in a rotating bucket takes the shape of a parabola when it...
  33. P

    Calculate Torque About Axis B: F, θ, ϕ, π Involved

    Homework Statement What is the torque τB about axis B due to the force F⃗ ? (B is the point at Cartesian coordinates (0,b), located a distance b from the origin along the y axis.) Express the torque about axis B in terms of F, θ, ϕ, π, and/or other given coordinate data. Homework Equations...
  34. A

    Body decay on the axis of an infinite wedge

    Homework Statement On the axis of an infinite wedge that moves with velocity ##\vec{V}##, the body decays with the formation of a lot of splinters that fly away uniformly in all directions with velocity ##\vec{u}##. What should be the angle of the wedge that half of the splinters fall on its...
  35. L

    Kinetic energy of rotation and parallel axis theorem problem

    Homework Statement A circular disc of radius 25 cm and mass 0.5 kg is revolving in its plane with an angular velocity of 4 radians per second. Find A) its kinetic energy of rotation, and B) its new angular velocity if a mass of 10 kg is suddenly fixed on the rim of the disc. Homework...
  36. T

    MHB Area between the curve and x axis

    Hey guys, I've got this question in my book, and I think that I may be misunderstanding the concept. The book is somewhat lacking on this particular question, and has left me in the dark to some degree. The question is Find the area between the curve y=2/(x-1)dx and the x-axis over the...
  37. S

    Angular velocity of a wheel rolling around a fixed axis

    Mentor note: Moved to homework section A conical wheel is rolling (without slipping) around a fixed axis OZ as shown in the figure. The velocity of point C is vc = at. The direction of the velocity of C is shown by a cross i.e. along negative x-axis. We have to find the angular velocity...
  38. C

    Rotation of a hoop about an off-center axis

    Homework Statement I am studying for a test and am struggling with this question on the practice exam. The answer is 9.9 I am not sure how she got to the answer though A hoop of mass 300 g. and a radius of 20 cm rotates about an axle at the edge of a hoop. The hoop starts at highest...
  39. P

    EMF between an axis and the surface of long wire

    A friend mine of gave me a problem : Calculate the Emf b/w the axis and surface of a long current carrying wire of radius ##r## and current density ##J##. I am not able to understand why there would be a potential difference between the axis and surface but i think that either of these could...
  40. Andrea Vironda

    Quantifying Acceleration in Non-Perpendicular Torque Systems

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  41. A

    Potential on the axis of a uniformly charged cylinder

    Homework Statement Posting here because it was over a previous homework assignment and I don't understand the solution that was given out. For reference, the problem is 2.27 is Griffiths' Introduction to Electrodynamics. It reads "Find the potential on the axis of a uniformly charged solid...
  42. G

    How can I find the torque/moment of force about an axis?

    Homework Statement The Trump's wall is so weak that has to be supported by two cables as is shown in the figure. If the tension over the cables BD and FE are 900 N and 675 N respectively. (I'LL UPLOAD AN IMAGE OF THE PROBLEM SO YOU CAN SEE IT) Homework Equations τ = r χ F Mo = r χ F The...
  43. henil

    Semi major and minor axis of polarization ellipse

    how can he we derive equations for semi major and minor axes of the polarization ellipse?
  44. kostoglotov

    Viscous drag parallel to the axis of rotation: Control Systems

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  45. D

    I Calibration of axis for Oragami folds

    This problem came to existence as an attempt to justify a very common operation that an origami folder is often faced with. Broadly speaking, when one folds a model, it is almost always necessary to divide the paper into some segments. The statement that has to be proven: given the proportion...
  46. Y

    Calculate torque of an 80kg object rotating on its central axis

    Hello, I have a setup whereby: 1) A circular plate with fillet under-edge, is sitting like a bowl on some ball bearings. Imagine if you will a bowl sitting in a way that it can rotate and move a bit up and down etc. without much friction. 2) The plate needs to rotate at about 4 or 5 rpm. 3) The...
  47. peroAlex

    B-Field on Axis of Equilateral Triangle

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  48. B

    Choosing Axis of Rotation in Cylinder Oscillation Problem

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  49. jlmccart03

    Location of object on axis of concave mirror?

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  50. R

    Simscape help -- make a beam tangent to eccentric axis

    hello everyone, I'm trying to model a system in simscape using the simMechanics blocks. The system I am trying to model is: a ball bearing connected eccentrically to a motor axis. On that ball bearing lays a beam. The edge of the beam is connected to an axis. so, the system looks like this: I...
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