Disk Definition and 819 Threads

A solid disk with mass M and radius R is moving at t=0 on a horizontal surface in the positive x-direction with speed w_o*R/4. The friction coefficient is b. At t=0 the disk is also spinning counter-clockwise with angular velocity w_o. Thus, when viewing the disk at time t=0 you will see it...

Homework Statement A disk of mass M(=2 kg)and radius R(=5m) is pivoted at the center. The disk lies in the vertical plane and is free to rotate about the pivot .A particle of mass (=1 kg) is on the periphery of the disk. Find the time period of small oscillation of the system .Homework...

Homework Statement A horizontal 845.0 N merry-go-round with a radius of 4.3 m is started from rest by a constant horizontal force of 74.0 N applied tangentially to the merry-go-round. Find the kinetic energy of the merry-go-round after 2.2 s. Assume it is a solid cylinder. The...

Homework Statement A 75g mass sits 75cm from the center of a rotating platform undergoing a uniform angular acceleration of 0.125rad/s . The coefficient of static friction between the mass and the platform is 0.250. What is the speed of the mass when is slides off? A. 0.889 m/s B. 1.26...

To write the uniform charge density of a disk with radius a in cylindrical coordinates, If we do this form: \rho (x)=\frac{A\delta(z)\Theta (a-\rho)}{\rho} (A is constant that sholud be determined and \theta is step function), we get A=\frac{Q}{2\pi a} and so: \rho (x)=\frac{\frac{Q}{2\pi...

Homework Statement A chain is wrapped around a disk of radius R. The tension of chain is T. What is the coefficient of friction, if when the disk is spinning at angular velocity ω, the chain slips down? See image attached. Homework Equations II Newton law a_{centripetal} =...

2013 edits to the sci.physics.faq "Rotating Rigid Disk in Relativity" I was just reading the sci.physics.faq http://math.ucr.edu/home/baez/physics/Relativity/SR/rigid_disk.html on the rotating disk. I was really dissapointed by the recent (2013) editorial comments. I felt that they totally...

Hello To demonstrate that we can deduce from special relativity the existence of an observer who finds that his three-dimensional space is not euclidean (a conclusion that is false in my opinion), in subsection "Behaviour of Clocks and Measuring Rods on a Rotating Body of Reference" of his...

Homework Statement A large, thin plastic disk with radius R = 1.1 meter carries a uniformly distributed charge of Q = -7e–5 C. A circular piece of aluminum foil is placed d = 3 mm from the disk, parallel to the disk. The foil has a radius of r = 6 cm and a thickness t = 1 millimeter. a. Find...

Hi all, How can I calculate the minimum distance between the perimeter of a disk in 3d space and a point above the disk? (the point can be inside or outside the area above the disk) I've been trying to work this out for a while, but I'm getting no where. For example, a point at (1,1,1)...

Hi, It's surprising how little information is available on this topic, considering it seems like such a fundamental problem. The only tutorial I have found is http://www.umich.edu/~ners312/Course%20Library/SolidAngleOfADiskOffAxis.pdf, and my university does not have access to the other papers...

What is ds^2 on a rotating disk?

Homework Statement A solid conducting disk of radius a rotates about its symmetry axis with angular speed ω rads/s. If there is a uniform magnetic field \mathbf{B} perpendicular to the disk derive an expression for the potential difference induced between the centre of the disk and its rim...

Homework Statement Hey guys, I am a little bit confused how my textbook arrived at the answer it did for this particular question. The disk is in the xy-plane with radius b and uniform charge density. They go V=\frac{\rho_S}{4πε}\int_0 ^{2π}\int_0...

I asked a question recently about orbiting black holes. Thanks for the answers. So if I'm correct in my thinking, long before the event horizons of orbiting black holes become close to each other, the two accretion disks get mightily disrupted and much of the mass of the two disks would fall...

Homework Statement This is a question in the book to solve Heat Problem \frac{\partial \;u}{\partial\; t}=\frac{\partial^2 u}{\partial\; r^2}+\frac{1}{r}\frac{\partial\; u}{\partial\;r}+\frac{1}{r^2}\frac{\partial^2 u}{\partial \theta^2} With 0<r<1, 0<\theta<2\pi, t>0. And...

http://www.theverge.com/2013/11/28/5154240/north-dakota-river-ice-circle-is-50-foot-wide

Homework Statement A disk of mass M and radius R unwinds from a tape wrapped around it. The tape passes over a frictionless pulley and mass m is suspended from the other end. Assume that the disk drops vertically. a. relate the accelerations of mass m and disk ,a and A, respectively to...

I was in a debate with a guy about "how does a spinning disk may look like in relativity." His point was that the disk will be flat as always. But the radius will be curved, i couldn't actually imagine it. He gave me a picture too http://casa.colorado.edu/~ajsh/sr/cartbig_gif.html So i...

I know that the moment of inertia of a disk about the axis perpendicular to the plane of the disk is I=1/2 MR^2 and by the perpendicular axis theorem the moment of inertia about the other axis is I=1/4 MR^2 I want to get the 2nd result with calculus. I can't get the right answer...

Homework Statement A uniform disk with mass m = 9.27 kg and radius R = 1.42 m lies in the x-y plane and centered at the origin. Three forces act in the +y-direction on the disk: 1) a force 344 N at the edge of the disk on the +x-axis, 2) a force 344 N at the edge of the disk on the –y-axis...

I have partitioned my hd into 3 drives. I installed Windows 8.1 on C drive and have used the OS until now. I realize I need windows 7. So I shink D Drive to create another partition - E drive where I would like to install the OS. But I gwt an error message stating that I the partition contains...

Homework Statement Find the electric field a distance above the center of a flat circular disk of radius R, which carries a uniform surface charge σ. Homework Equations The Attempt at a Solution Basically, I want to solve this usually trivial problem without using symmetry arguments and the...

I got my new computer with Win 8 and the Mcafee and another program keep popping up. I went on the control panel and deleted a few of the programs. Now it won't connect to the internet anymore because there is no wireless connection. I might have deleted that accidentally. How do I recover...

1. Problem Statement. Find the Electrostatic Field at a distance z above the xy-plane and along the z-axis due to a constant surface charge σ confined to the region a < √(x2+y2) < b, 0 < α < pi/2. In other words, find the Electric Field a distance z above a quarter disk occupying the...

Homework Statement I am suppose to find an expression for the electric field of a ring. Homework Equations E =\frac{Kq}{r^2}The Attempt at a Solution I calculated my results and I reached up to this: \frac{Kx\Delta q}{(R^2 + x^2)}^{3/2} where R = radius, x = distance, K = constant, q =...

Let me apologize in advance for not reading the entire rotating disk thread. I think that the following question is closely related, but if it was answered in that thread, I didn't spot it. Let us consider the following timelike congruences, which maps congruence parameters t,r,theta and z...

Homework Statement A solid disc of mass m = 5.0 kg and radius r = 0.45 m is spinning clockwise about the axis passing through the center of the disc. At t = 0, three forces are applied to the disc as shown. Part 1. What is the magnitude of the net torque acting on the disc about its...

Hi guys, Heard an interview question from a friend, the guy asked him what happens to a disk with internal radius r and external R such as the following: When heated. He told me the answer is that the internal radius gets smaller and the external gets bigger. Can anyone help me understand why...

This is rather strange and has been bugging me, from chapter 22 (Electric fields) of Resnick & Halliday: So suppose you have a charged disk of radius ##R## (the disk has no thickness and charge is uniformly spread on the surface of the disk). If you are at a distance ##z## away from the...

I'm researching dark matter and how it affects galaxy rotation curves, I came up with the problem below. Imagine a very thin, flat disk which has uniform mass per unit area. What is the gravitational field strength (g) within the disk itself? How does g vary with respect to r, the...

Homework Statement Assume a uniformly charged ring of radius R and charge Q produces an electric field Ering at a point P on its axis, at a distance x away from the center of the ring. Now the same charge Q is spread uniformly over a circular area the ring encloses, forming a flat disk of...

Homework Statement Find the period of a pendulum consisting of a disk of mass M and radius R fixed to the end of the rod of length l and mass m. How does the period change if the disk is mounted to the rod by a friction less bearing so that it is perfectly free to spin? The centre of the...

Homework Statement Find the volume of the solid generated by revolving the region bounded by y=1/sqrt(x) and y=0 for 1≤x≤2 about the line y=-1 Homework Equations Disk Method? ∏ * ∫[f(x)]^2 dx The Attempt at a Solution A and B (lower and upper limits will be 1 and 2)? ∏ *...

Homework Statement A metal disk is rotating with constant angular velocity in a constant magnetic field perpendicular to it. Use Faraday's law to fint the the induced voltage difference between the two points on the wire. The attempt at a solution So to use Faraday's Law, I need to...

Homework Statement Given ε > 0, show that there is a collection of disjoint dyadic squares in the unit disk that has a total area which exceeds π - ε. Homework Equations Define a dyadic interval as an interval of the form [a, b] such that a = p/2k and b = (p + 1)/2k, p and k are integers. A...

Hello everyone, I came across this problem from my Physics textbook. I do not understand why the direction of the axle force is pointing downward. I think the upper part of the disk is exerting a downward force on the pivot (as it is pulled down by the Earth's gravity), and according...

Coriolis effect - In a non-friction system, f I roll something along the surface of the planet from on of the poles to the equator, it will appear to move to the west, it will essentially stay behind the planets rotation and actually rotate it in the opposite direction. Now, if we add friction...

Hi all, I have a question about airy patterns and how these determine resolution in images. So to increase resolution the airy pattern should be made smaller. In microscopy this is achieved by using higher numerical aperture lenses and shorter wavelengths. I have also read that the more...

In Griffiths book, "Introduction to Electrodynamics" example 8.4 he calculates the angular momentum density for a set up that is a version of Feynman disk paradox. His answer for the angular momentum points in the z direction. But if we you assume that the r vector has component in the s...

Homework Statement A solid disk of mass m and radius R rolls without slipping with a velocity v. Assuming it doesn't slip, how far vertically will it roll up an incline? Homework Equations I=0.5mr2 E=0.5Iω2 KE=0.5mv2 PE=mgh The Attempt at a Solution I'm thinking that we need to...

Homework Statement A wheel, mounted on a vertical shaft of negligible rotational inertia, is rotating at 500 rpm (CCW from above). Part a) asks to find the new angular velocity if an identical wheel is dropped onto the shaft. I got this part right. Part b) is: Now suppose the dropped wheel...

Homework Statement Determine the angular acceleration of the uniform disk if (a) the rotational inertia of the disk is ignored and (b) the inertia of the disk is considered. The system is released from rest, the cord does not slip on the disk, and bearing friction at O may be neglected. The...

Homework Statement Use spherical cords to compute area of a disk, that's center at x,y=0, and z=4, having a radius of 3 Homework Equations I set up a triple ∫∫∫ (r^2* sin(theta)), running from phi =0 to 2pi, theta=0 to arcsin(3/5), r=5sin(theta) to 5. The Attempt at a Solution It doesn't...

Because according to Faraday's law there should be a change in the flux to generate electric potential for a current to take place. But in that case no flux change happens. This can be reasonably explained by Lorentz force(charge separation due to radial Lorentz force) but can we still apply...

Homework Statement Adisk of radius R centred at the origin is placed on a frictionless x-y plane with origin as the centre of the disk.At t=0, the disk is given initial motion such that the point A(R,0) has velocity v towards +ve x-axis and ω=v/2R. Find the coordinates of Point A at t=...

Homework Statement I need to find the mass of a disk with a hole, given inner and outer diameters of 0.10m and 0.30m, respectively. The disk has a mass per unit of 20 \frac{kg}{m^2}. The Attempt at a Solution Since I needed mass units, I thought that I could multiply the mass per unit...

Homework Statement A compound disk of outside diameter 152 cm is made up of a uniform solid disk of radius 41.0 cm and area density 3.30 g/cm2 surrounded by a concentric ring of inner radius 41.0 cm , outer radius 76.0 cm , and area density 2.10 g/cm2 . Find the moment of inertia of this...

I'm trying to get the position vector of the offset mass relative to the inertial frame of reference. Do I account for the fact that the disk has rolled a little bit with respect to the inertial frame of reference? With that, I have r,vector = d n1 + R n2 + R/2 er = R*theta n1 + R n2 + R/2 er...

Will a ball placed tightly (radius of ball=width of groove) in a groove(length of grove along radius) on a rotating disk have any motion along the groove. The frictional force is zero.