Ring Definition and 1000 Threads

Hello. I am finding out how many normal force between ring and cylinder. I try to find around for many hours but get noting. there are 8.2 mm inner diameters than put in 8.6 mm cylinder. The hardness of sealing element is 55 ShA. Contact area is 48.63 mm^2. I have data and drawing in attachment...

Given a ring R, how exactly do I interpret it as a module? A lot of my homework assignments involve treating a ring as "a module over itself" and I don't know precisely what that means.

All, Through work, I've recently been tasked with investigating a very old tensile test technique, according to BS HC 403:1977 (now withdrawn). Essentially, you take a ring. Anywhere along it you make a slit all the way through. You then pull that ring in a tensile machine, ensuring that the...

Could anyone point me to the proper formula to calculate the magnetic field strength in the gap/hole(ID) of a diametrically magnatized ring magnet. https://www.skycraftsurplus.com/rp9291magnetdonut17odx08id-1.aspx

What are the differences between ring and field? It's for an article that I write.

If I try to calculate the electric field in the x-y plane of a ring of charge resting at the origin on the x-y plane, I keep getting zero. I start with Coulomb's Law. $$ dE(r) = \frac{1}{4\pi\epsilon}\frac{dq}{r^2} = \frac{\lambda R}{4\pi\epsilon}\frac{d\theta}{r^2},$$ in which ##\vec R## is...

Let (A,+) be an Abelian group. Consider the ring E=End(A,A) of endomorphisms on the set A, with binary operations +, and *, where (f+g)(x)=f(x) + g(x), and (f*g)=f∘g. I have tried to find zero divisors in this ring, but I just couldn't come up with an example.

I would be grateful for opinions on the following book as a good advanced undergraduate/ beginning graduate book for self study ... "Graduate Algebra: Commutative View" by Louis Rowen ... (American Mathematical Society, 2006)Conveniently Louis Rowen has published a book for a "first course" in...

Jack draws rings of rhombuses about a common centre point. All rhombuses have the same side length. Rhombuses in the first, or inner, ring are all identical. Each rhombus has a vertex at the centre and each of its sides that meet at the centre is shared with another rhombus. They all have the...

I need some help with this task, I am stuck. 1. Homework Statement An aluminium ring is placed on top of an elctromagnet. a. The electro magnet is connected to AC. What will happen with the aluminium ring? Motivate your answer. b. What will happen with the ring if the electromagnet is...

the penstocks are either supported on the saddles or on ring girder legs. the standards ( like ASME) make the calculation of the stresses on the ring girder without giving the dimension of the support leg , whereas I think that the change of the dimensions of the leg will probably change the...

Homework Statement Homework EquationsThe Attempt at a Solution If an observer stands between A and B then he/she sees current flowing in clockwise direction in A .Now if current in A increases , flux linked with B also increases .From lenz law current should flow in clockwise direction (from...

Recently i watch a video about Thermal Bremsstrahlung. and i don't understand the explanation that they use a ring instead of disk in 6:02 to 7:06. (1)how did he divided the set of electrons up into in two sets of velocities that are all in the same direction and sum over all of the different...

What would spacetime look like near a black hole that was rotating at its extremal speed and had a ring of matter orbiting it at ultra-relativistic speeds (just outside the photon sphere), such that the ring was orbiting in the same direction as the black hole’s rotation? The ring would add to...

I am reading Paul E. Bland's book: Rings and Their Modules and am currently focused on Section 2.1 Direct Products and Direct Sums ... ... I need someone to check my solution to Problem 3(a) of Problem Set 2.1 ... Problem 3(a) of Problem Set 2.1 reads as...

Homework Statement I am reading Paul E. Bland's book: Rings and Their Modules and am currently focused on Section 2.1 Direct Products and Direct Sums ... ... I need someone to check my solution to Problem 3(a) of Problem Set 2.1 ... Problem 3(a) of Problem Set 2.1 reads as follows: Homework...

I am reading "Algebra: An Approach via Module Theory" by William A. Adkins and Steven H. Weintraub ... I am currently focused on Chapter 2: Rings ... I need help with an aspect of the proof of Corollary 2.4 ... ... Corollary 2.4 and its proof read as follows: In the above proof of Corollary...

I am reading "Algebra: An Approach via Module Theory" by William A. Adkins and Steven H. Weintraub ... I am currently focused on Chapter 2: Rings ... I need help with an aspect of the proof of Corollary 2.4 ... ... Corollary 2.4 and its proof read as follows: In the above proof of...

Homework Statement A part of a circular ring is missing .What happens to the angle when temperature is increased ? 1) θ increases 2) θ decreases 3) θ remains same 4) θ increases initially but becomes constant after a particular temperature . Homework EquationsThe Attempt at a Solution As...

Homework Statement Three non-equal positive point charges, q1, q2, and q3, are constrained to a ring of radius r. Find their relative positions in equilibrium using force balances. Homework Equations I know that this problem could be approached in two ways: using force balances or minimizing...

Assume that ##P## is a polynomial over a commutative ring ##R##. Then there exists a ring ##\tilde R## extending ##R## where ##P## splits into linear factor (not necessarily uniquely). This theorem, whose proof is given below, is difficult to find in the literature (if someone know a source, it...

From https://phys.org/news/2018-01-image-hubble-cartwheel-galaxy.html The attached article explains the proposed origin of this nifty ring galaxy.

Homework Statement Let ##S## be a multiplicative subset of a commutative ring ##R## with identity. If ##I## is an ideal in ##R##, then ##S^{-1}(\mbox{ Rad } I) = \mbox{Rad}(S^{-1}I)##. Homework EquationsThe Attempt at a Solution If ##x \in S^{-1}(\mbox{ Rad } I)##, then ##x = \frac{r}{s}##...

Homework Statement A thin 0.50-kg ring of radius R = 0.60 m hangs vertically from a horizontal knife-edge pivot about which the ring can oscillate freely. If the amplitude of the motion is kept small, what is the period? Homework Equations T = 2pi / ω Not sure what others... The Attempt...

https://futurism.com/stable-plasma-ring-created-open-air-first-time-ever/

Homework Statement No problem statement. Homework EquationsThe Attempt at a Solution Suppose that ##R## is a ring and ##f : R \to R## is an additive group homomorphism. Is the following a way of extending ##f## to a ring homomorphism? Let ##\varphi : R \to R## and define ##\varphi(r) =...

Homework Statement Hello. I have this problem: I have a ring which is sliding along a wire in the shape of a spiral because of gravity. Spiral (helix) is given as the intersection of two surfaces: x = a*cos(kz), y = a*sin(kz). The gravity field has the z axis direction. I have to find motion...

A ring has been found around Haumea, a world more than 2 billion kilometres beyond Pluto. The ring is the most distant ever seen in our solar system. Read more at New Scientist .

picture: https://ibb.co/k5P0GG Two objects slide without friction on a circular ring of radius R, oriented in a vertical plane. The heavier object (of mass 3m) is attached to a spring with an unstretched length of zero (admittedly an unphysical assumption) and spring constant k. The fixed end of...

I have RMU training from tomorrow. The RMU will be of 24kV Siemens make. I have no idea about it. I would like to get prepared for training. Can you tell me about it in detail with Single Line Diagram.

Hi. I'm a student and working on a project I have designed in Inventor. For this project I will use a split ring collar. The m6 screw (not shown) tension is 17kN. How do I calculate how much torque this ring can resist when clamped on a shaft? Dimensions are ID 30mm OD 50mm width 30mm Dan

Homework Statement Give an example of a commutative ring ##R## and ##f(x), g(x) R[x]## with ##f## monic such that the remainder after dividing ##g## by ##f## is not unique; that is, there are ##q,q',r,r' \in R[x]## with ##qf + r = g = q' f + r'## and ##\deg (r)## and ##\deg (r')## are both...

1. 2. I'm totally lost on this problem. Tried guessing in several ways but couldn't come up with the right answer.3. Since I was totally mesmerized by this problem, I need someone to solve it and provide explanation of critical steps of the process. Can someone help me?

Homework Statement In this problem, I have two particles that slide on a ring with a radius of R. The ring is orientated in a vertical plane. One of the particle is heavier than the other and has a mass of 3m. The heavier particle is attached to a spring with an unstrectched length of 0 and a...

Homework Statement Let ##R## be a commutative ring,. Show that ##R[x,y]## is isomorphic to ##R[y,x]##. Homework EquationsThe Attempt at a Solution Let ##f : R[x,y] \to R[y,x]## be defined by ##\sum_{i,j=1}^{n,m} a_{ij} x^i y^j \mapsto \sum_{i,j=1}^{n,m} a_{ij} y^i x^j##. Verifying that ##f##...

Homework Statement Homework EquationsThe Attempt at a Solution Wrt inertial frame with origin at the pivot, [/B] The final angular velocity of the ring, the bug are ## \vec ω_r ## and ## \vec ω_b ## and the final velocity of the bug is ## \vec v_b ##. Since, there is no net external...

I had this discussion while driving home to California from a trip to Washington state with a friend. We were discussing the stability of a completely rigid, untethered, ring-structure around Earth, and I did not know how to explain to him that such a thing must be tethered by rigid towers lest...

Homework Statement 2.75 mC is uniformly distributed on a ring of radius 8.5 cm. Find the electric field on the axis at (a) 1.2 cm, (b) 3.6 cm and (c) 4.0 m from the center of the ring. Homework Equations [/B] E = (kQx)/(a^2+x^2)^(3/2) 3. The Attempt at a Solution This question really boils...

If my professor tasked me with finding out where to find the materials for setting up an electromagnetic ring expansion test, where is a good place to start? Generally, what is a good procedure to follow when setting up an experiment? I am not very experienced but I would like to learn. The...

Homework Statement A uniform circular ring of charge Q=4.20 microCoulombs and radius R=1.30 cm is located in the x-y plane, centered on the origin as shown in the figure. What is the magnitude of the electric field E at point P, located at z=3.70 cm? I have worked out the problem and got the...

Homework Statement Homework EquationsThe Attempt at a Solution For ##0 \ge \theta \ge \pi/2## Forces on the ring, ##Mg + 2N\cos \theta = F\qquad 1## Forces on the beads ##mv^2/R = - N + mg \cos \theta## By conservation of energy when the bead has fallen through some angle ##\theta##...

First, sorry if there's grammar mistakes,english is not my native language. 1. Homework Statement Find the normal modes of a string of length L with a massles ring ,free to move on the y-axis ,attached to each end. Homework Equations General wave solution: u(x,t)=A·e(kx-wt)i+B·e(-kx-wt)i...

This is my first time posting here so I hope I am in the right place. So I have read about some scientists who have built a ring laser that is sensitive enought to detec the Earth's rotation. I can get how a ring laser can detect the rotation of a missile say if the laser path is perpendicular...

I know this won't work, I'm having trouble explaining why to someone who thinks it will. Make a ring around a planet. Give it low walls. Fire countless pellets at hypersonic speeds around the inside of the ring. The pellets are moving at super-orbital speed, pushing the ring outward, making it...

What I would like to be able to calculate is the following: Suppose a hoop or ring is held up perpendicular to the ground and you stood in front of it, it would look perfectly circular and knowing the radius you could calculate the area of this circle. Now if this hoop was tilted over backwards...

By definition, the characteristic of a field is the smallest number of times one must use the ring's multiplicative identity element (1) in a sum to get the additive identity element (0). Can we use the same rule for the set of natural numbers? If yes, I found a problem, that has something to...

Homework Statement Homework Equations 3. The Attempt at a Solution These are my two observations for this problem . 1) Center of mass of the ring moves in a circle of radius (R-r) about point O . O is the center of the smaller circle in figure 2 . 2) From the geometry , the angular speed...

Suppose i hit a ball with a speed around 177km/hr(when it is near Saturn's ring), will it cross the saturn's ring or it will move around saturn just like other dust partices, what will happen if the speed is around 344 kmph(speed of sound).

Homework Statement A thin disc, radius 3 cm, has a circular hole of radius 1 cm in the middle. There is a surface charge of -4 esu/##cm^2## on the disc. a) what is the potential at the centre of the hole ? b) An electron starting from rest at centre of the hole moves out along the axis. What...

Is ring current caused by gradient-curvature drift? I can't find a website that explicitly says that, they just call it 'longitudinal drift' and don't specify the mechanism, which I assume is particles drifting from one field line to the next - i.e. grad B drift and curvature drift?