Cylinder Definition and 1000 Threads

Homework Statement A hollow cylinder of radius r and height h has a total charge q uniformly distributed over its surface. The axis of the cylinder coincides with the z axis, and the cylinder is centered at the origin, as shown in the figure. What is the electric potential V at the...

Homework Statement Problem is described in the picture I do not understand how can \alpha^{'}R=a^{'}. The dimensions do not seem correct. Angular velocity x distance from the origin = tangential velocity, is that correct ? How can this equal acceleration then ? 3. Attempt to solution I...

Homework Statement A cylinder of radius a has a hole drilled through it of radius b, the hole is parallel to the axis of the cylinder but is displaced from it by a distance d in the x-direction where d < a - b. The asymmetric hollow cylinder has a uniform current density J = Jzez Show that...

Hi, the problem isn't written in English originally, so there might be some slight mixing up in the terminology A cylinder with mass M = 2 kg is attached to a spring and lying on a horizontal plane. (Imagine looking at it from the side, with the wall where the spring is attached forming a...

Homework Statement A long, non conducting, solid cylinder of radius 4.2 cm has a nonuniform volume charge density ρ = Ar^2, a function of the radial distance r from the cylinder axis. A = 2.5 µC/m5. (a) What is the magnitude of the electric field at a radial distance of 3.2 cm from the axis...

It is told, that all homework-like threads should be posted there. So, here I go. Imagine such a situation: there is a vertical rod and a cylinder, with the hole diameter sightly larger than the diameter of rod. There is also a second rod, attached to the cylinder perpendicularly. There is a...

Imagine such a situation: there is a vertical rod and a cylinder, with the hole diameter sightly larger than the diameter of rod. There is also a second rod, attached to the cylinder perpendicularly. There is a friction between the main rod and the cylinder. It is known, that if we put a...

Hey all, I've been trying for a while now to derive the following solution, for a circular cylinder under uniform flow: φ(r,θ)=U(r+\frac{R^2}{r})cos θ where φ is the flow potential that satisfies Laplace's equation, as defined in this article...

The flow of an inviscid incompressible fluid around a circular cylinder is commonly studied in fluid dynamics courses. There's a wikipedia article about it here: http://en.wikipedia.org/wiki/Potential_flow_around_a_circular_cylinder. However, what about a square cylinder? There seem to be...

Hey Guys, I'm fairly new to this forum. I would just like to know is their a way to allow for a four cylinder engine to produce for more engine gas to spin 2 turbos. As I researched on forced induction, I've found that Twin turbos on a four cylinder might be one turbo too many, though I...

Hi, My knowledge is not too good and I'm trying to help my son find out how we would go about determining the equation of the volume of the cyclinder V(r), expressed in terms of r alone? We do not know how we would go about this without using l or h? Any help would be really appreciative (Smile)

Homework Statement A viscometer consists of two concentric cylinders, 10.20cm and 10.60 cm in diameter. A liquid fills the space between them to a depth of 12.0cm. The outer cylinder is fixed, and a torque of 0.024 N*m keeps the inner cylinder turning at a steady rotational speed of 57...

Hey everyone, First I'd like to say my thanks to the community for all the information I managed to glean while lurking on the forum and doing my schoolwork over the last year or so. It's been an invaluable resource to me! Now, on to my question. (I see that it says not to post homework...

Homework Statement The cylindrical drum of a copy machine is .38 m long with .05 m radius. If charge is uniformly distributed over the cylindrical surface (the top and bottom flat circular ends of the drum have no charge) and the electric field very close to this surface midway along the...

Hey all, I am using the Joukowski transform to calculate the electrostatic potential and streamlines around an elliptical cylinder. The flow is caused by two point charges (one positive, one negative). My idea was, of course, to first solve the problem for a circular cylinder, and then...

Homework Statement Particle of mass m constrained to move on the surface of a cylinder radius R, where R^2 = x^2 + y^2. Particle subject to force directed towards origin and related by F = -kx Homework Equations L = T - U H = T + U The Attempt at a Solution So I have the solution, but...

1. Homework Statement (a) Calculate the electric field at an axial point z of a thin, uniformly charged cylinder of charge density ρ , radius R, and length 2L. z is the distance measured from the center of the cylinder. (b) What becomes of your result in the event z >> L ? 2. Homework...

Homework Statement How might I show that the map (in cylindrical polar coordinates) given by f:(1,\phi,z)\to(\sqrt{1-z^2},\phi,z) does not change the area?Homework Equations The Attempt at a Solution I can see this is like having a sphere in a cylinder and we shine "light" on the cylinder...

Homework Statement Positive charge is distributed throughout a solid non-conducting cylinder of radius 'b ' and infinite length. The charge density increases with radius according to ρ = {ρ}_{o}({r}{^2}/{b}{^2}), where {ρ}_{o} is a constant (evidently equal to the charge density at the surface...

I came across this formula by Blevins for calculating the natural frequency of a hollow cylinder and was hoping that someone could answer a question I have for calculating the mass per unit length (m). Here's the formula: f = A/(2*pi*L^2)*sqrt(E*I/m) A= 9.87 for first mode I = Area Moment of...

Homework Statement Evaluate the surface integral ∫A\bullet\hat{n}dS where A = z\hat{x}+x\hat{y}+3y^2z\hat{z} and S is the cylinder x^2+y^2=16 for the range of x\geq0,y\geq0, 0\leqz\leq5 Homework Equations I used this page as an example way to do this. I'm not good with surface integrals...

Homework Statement Two coaxial cylindrical conductors are shown in perspective and cross-section above. The inner cylinder has radius a = 2 cm, length L = 10 m and carries a total charge of Qinner = + 8 nC (1 nC = 10-9 C). The outer cylinder has an inner radius b = 6 cm, outer radius c = 7...

Homework Statement In an infinitely large evenly charged dielectric cylinder(charge density is \rho ) there is an infinitely large cylindrical void. Prove that the electric field inside the void is homogenous and find its value. (picture) http://img513.imageshack.us/img513/5747/61734727.png...

Homework Statement I have a solid cylinder of uniform charge density whose axis is centered along the z-axis. I am trying to calculate the electric field at a point on the z-axis. What I'm trying to do is to start by first calculating the field of a disk centered on the z-axis at a point on...

I am conducting an experiment where I have a cylinder heated from the outside and a fluid flowing through the inside. I know the heat flux into the cylinder and I know the temperature at two points within the cylinder wall. However, I am not confident on the radial position of the temperature...

Homework Statement An infinite line of charge with charge density λ1 = 2.9 μC/cm is aligned with the y-axis as shown. a = 7.9 cm. h = 8.8 cm. λ2 = -8.7 μC/cm. Another infinite line of charge with charge density λ2 = -8.7 μC/cm parallel to the y-axis is now added at x = 3.95 cm as shown...

Hello, My name is Jason, I am a senior high school student (new at using Physics forums), and am currently looking into alternative fuels, specifically a substitute for the popular leaded aviation fuel in use today, 100LL. 100LL contains lead to prevent engine knocking, (pre-detonation of...

Homework Statement You have been assigned to design brass pistons to slide inside steel cylinders. The engines in which these pistons will be used will operate between 20.0 degrees Celsius and 150.0 degrees Celsius. Assume that the coefficients of expansion are constant over this temperature...

Hi, I'm trying to locate a formula for determining the radial breathing mode of a hollow cylinder. The dimensions of the cylinder of interest are approximately .5" OD x .4" ID x .5" L Any help would be greatly appreciated. Thanks!

Homework Statement This is from a worksheet. I had to find the volume myself "A large number of spheres are poured into a graduated cylinder and gently vibrated until the occupy a minimum volume of 40 mL (or 40 cm^3). Use the information about close packing and the data you found to...

1. Homework Statement [/b] this is griffiths 6.8 fyi. a long cylinder of radius R carries magnetization M=ks^2 \hat{∅}, k is a constant and s is the distance from the axis. \hat{∅} is the azimuthal unit vector. find the magnetic field inside and outside the cylinder. Homework Equations...

I am writing a science fiction story, and would like some help from the PH community. Details: There is a cylindrical spaceship which is rotating to create artificial gravity. The cylinder has a circular radius of 10km and a length of 30km. The rotational period is 3 minutes and 20...

Find the mass of the solid bounded by the cylinder (x-1)2 + y2=1 and the cone z=(x2+y2) 1/2 if the density is (x2+y2) 1/2 I know that I have to substitute for cylindrical co-ordinates x=rcos(theta), y=rsin(theta), and z=z, and then use the change of variables formula to get the mass by...

Hey all, I am designing a cup holder. It is supposed to be made out of a few steel rings. Its geometry is such that the hoops can open (so the radius increases), and you place the cup inside. Then, as the hoops spring back, they press upon the cup and the friction holds it in place as you lift...

Homework Statement Consider a long cylindrical charge distribution of radius R = 13 cm with a uniform charge density of ρ = 18 C/m3. Find the electric field at a distance r = 32 cm from the axis. Homework Equations ΦE = EA = qin/ε0 The Attempt at a Solution My problem here is...

I am in a robotics competition where we can only use certain parts. My team built a scissor lift, and we are currently looking for a better way to lift it. It takes upwards of 100 pounds of force to lift, and when it's down its base is about 3" by 10". I want to build a pneumatic cylinder...

Homework Statement I have a cylinder of mass M and radius R, it stands over a platform of mass m; the platform stands over a no-friction floor. There is a given force F on the platform, directed horizontally on the right. The coefficient of static friction between the cylinder and the platform...

Homework Statement I am approximating an object as a cylinder (h=6, r=1, mass=200lb). The cylinder is in the process of toppling over from a vertical position. I will assume that the cylinder can pivot freely on the bottom surface. At some angle theta, the cylinder will strike an object...

Consider the system on the attached file. I did an assignment with it, which made me think a lot. So the spring like thing in the cylinder is a torsional spring, which when released produces a certain torque round the cylinder making it rotate. But that creates a friction and assuming a high...

Homework Statement We have a cylinder (radius r, height h, conductivity γ) and it is immersed in a variable magnetic field B(t) = B0* e^(-t/T). The field is parallel to the axis of the cylinder. The problem then asks to find the heat dissipated by the cylinder after an infinitely long...

Homework Statement Evaluate the surface integral Homework Equations f(x,y,z)=y where sigma is part of the hyperboloid y=x^2+z^2 that lies inside cylinder x^2+z^2=4 The Attempt at a Solution For \displaystyle S= \int \int_R \sqrt(z_x^2+z_y^2+1) dA I calculate...

Hi folks, I'm an ocean engineer who's getting old and slow. If I have a half-cylinder mass on a shaft where I'd like to be able to quantify energy (which I think I have right) and then have some way of relating that to potential power output. What I have so far: m=18.6 kg Length=0.305m...

please see attached drawing. I am trying to understand how this would work. Imagine a vertical cylinder of diameter "D". I would like to tie a mass M to it, using a rope. what is the tension "T" that is required on the rope? I assume the force required will depend on the coefficient of...

Homework Statement My problem is to calculate the Thermal stress of a Cylindric shell with inner radius a and outer radius b the inner surface is experiencing Temperature T1 and the outer surface is experiencing T2 with T1>T2 assuming that the linear thermal expansion coefficient is a, the...

Homework Statement A cylinder with radius five has water in it. The water flows out of the cylinder with a rate of 5π units cubed per minute. At what rate does the height of the fluid in the cylinder change? Homework Equations volume of a cylinder = πr^{2}h The Attempt at a Solution...

Hello, I was watching national geographic from 1 or 2 weeks, and they illustrated a way to produce electrical energy from surf. I will try to explain the principle: 1- They brought a cylinder, and attached to it a turbine which is designed to rotate in only one direction independent of the...

1. I'm doing an experiment where I have a brass hollow cylinder, and I roll it down an inclined plane, and after each trial, I add fish weights to the inside of it to increase the mass. I'm testing the proportionality between mass and angular velocity, with my hypothesis being an inverse...

Homework Statement A uniform cylinder of radius 12 cm and mass 25 kg is mounted so as to rotate freely about a horizontal axis that is parallel to and 6.6 cm from the central longitudinal axis of the cylinder. If the cylinder is released from rest with its central longitudinal axis at the...

1. given that the yield stress σy of the material is 475 Mpa, internal radius ri is 24.47mm, internal pressure pi is 6.07 Mpa, external pressure po is atmospheric, find the thickness required of the cylinder such that it does not undergo failure. (ro≥ r ≥ri)2. σr = [(pi ri^2 - po ro^2) / (ro^2 -...

Homework Statement Okay, so we've got a solid cylinder attached to a horizontal massless spring that rolls without slipping along a horizontal surface. The system is released from rest with the spring stretched past the equilibrium point. (The first two parts of this problem ask for...