Axis Definition and 928 Threads

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...

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...

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...

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)...

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...

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.

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

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?

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?

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]

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 ?

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

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...

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 ?

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...

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

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...

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...

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...

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...

Homework Statement I am currently working on a physics experiment to confirm the parallel axis theorem. To do this, I have the following setup: In this experiment I change the distance between the centre of the rotating disc and the central axis. I record the time for 5 complete rotations...

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

I am reading the book "Several Real Variables" by Shmuel Kantorovitz ... ... I am currently focused on Chapter 2: Derivation ... ... I need help with an interpretation of a statement by Kantorovitz near to the start of Chapter 2 ... The start to Chapter 2 in Kantorovitz reads as folows...

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!

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

Hi, I'm making some confusion about statical and dynamic behavior. if i have a body distant from the rotational axis, i have a static torque for maintaining it on position (i suppose ##\vec g \perp \vec r##). But if a supply more torque i accellerate the body. How can i quantify this...

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...

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...

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

Homework Statement https://i.imgur.com/WPAKuf4.png seeking G(s) = \frac{\theta_2(s)}{\tau(s)} Homework EquationsThe Attempt at a Solution What does it mean when the viscous drag is parallel to the axis of rotation?[/B] It also turns out that this system needs two equations. I can sort...

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...

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...

Homework Statement I came across a pretty interesting question that asks for magnetic flux density (B-field) on the axis of the equilateral triangle. This axis is meant to be perpendicular to triangle's surface passing through its centroid. Assuming that a triangle has sides denoted ##a## and...

Homework Statement Here is a problem we worked in class. I already know the answer, just had a question on the method. Two cylinders are connected with by a small rod (with presumably negligent mass) through their centers. The cylinders can roll freely. A spring is attached to the small rod...

Homework Statement Where on the axis of a concave mirror would you place an object to get a half-size image? Express the object distance in terms of the focal length f. Follow the sign convention. Homework Equations (1/q)+(1/p)=(1/f) f=(2/R) The Attempt at a Solution I attempted to use the...

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...