Cylinder Definition and 1000 Threads

A short circular cylinder carries a uniform magnetization M parallel to its axis. I want to know what the divergence of M is. Using divergence in cylindrical coordinates I get that ∇\bulletM = 0. Now I was pretty sure of this result until I read the following in my book: "∇\bulletH =...

i'm a machine repairman and the machines i repair are robotic welding machine. one of the problems we are having is weld slag/expulsion getting caught in the area the cylinder rod moves between the mount and the rod. i tell the engineer to make the hole larger to allow the slag to fall out he...

A hollow cylinder (but not open ended) is allowed to float on a liquid. Can anyone please help me how to calculate the height (h) it submerge? I want to get a relationship between height and cylinder weight. I can calculate the volume of submerged part. But no idea how to derive a formula with...

Homework Statement A cubical block of side L rests on a fixed cylindrical drum of radius R. Find the largest value of L for which the block is stable. This is problem 6.35 from the Kleppner+Kolenkow Introduction to Mechanics book. I honestly have no clue where to even start on this problem...

Homework Statement A hollow cylinder has mass m, an outside radius R2, and an inside radius R1. Use integration to show that the moment of inertia about its axis is given by I = 1/2*m(R2^2 + R1^2) Homework Equations dm = rho*dV = 2*pi*rho*h*r*dr The Attempt at a Solution This...

Homework Statement Find the surface area of the portion of the cylinder x^2+y^2=4y lying inside the sphere x^2+y^2+z^2=16Homework Equations Double integral for finding surface area. \iint_S d\sigma The Attempt at a Solution At first, i thought it was just the area of the surface of sphere...

Homework Statement A solid cylinder has base area A, height 20 cm and density 0.8 g/cm3, floats in the boundary of oil and water. If the density of oil 0.6 g/cm3, find a. the height of cylinder that immersed in oil and water b. the hydrostatic pressure at the bottom of the cylinder if the...

Hi I am wondering why a spinning cylinder will produce lift in an inviscid flow. From: http://www.grc.nasa.gov/WWW/k-12/airplane/cyl.html one of the mechanisms for lift generation was the sticking of fluid particles to the wall of the cylinder. I thought that the no slip condition only...

I am a little confused about how to generally go about applying Stokes's Theorem to cylinders, in order to calculate a line integral. If, for example you have a cylinder whose height is about the z axis, I get perfectly well how to parameterize the x and y components, using polar coordinates...

Sometimes you want to find the electric field of a loong cylinder carrying for instance a uniform volume charge. Then for easy calculations you approximate the cylinder with an infinitely long one and then put a gaussian surface over the entire thing. Symmetry then dictates that the field point...

( part a only I don't understand how you know from this question that it is a constant pressure process. I thought it is a polytropic process. So it will have a pVγ curve. I was drawing a pV curve. The answer is a straight line parallel to x- axis. My question: How do I know from...

i have to design one shielding box. in that there is cylinder having high voltage +60kev. and box having metal plate. so i have to calculate the electric field on that cylinder and then decide , what should be the distance in between plate and cylinder. i have attach the geometry on the file...

Homework Statement An insulated piston-cylinder device contains 5 kg of water at 100oC with a quarter of the mass is vapor. The water is compressed reversibly to 900 kPa. Find the work done during this process. Let the ambient temperature to be 27oC. Homework Equations I can use the...

Homework Statement How to find the equation of cylinder: x^2+y^2=4 from z=0 to z=2? Homework Equations (x-a)^2+(y-b)^2=r^2 The Attempt at a Solution I can't figure out how to implement the z-coordinate into the general equation of cylinder. In the latter, the height is taken as infinite in...

Homework Statement A thin cylinder of radius r, thickness s, and length L, is made of metal with a resistivity of ρ. The cylinder is resting in a uniform magnetic field B0, with the field being in the same direction as the axis of the cylinder. The cylinder is then removed from the field. Find...

Homework Statement An infinite cylinder with radius 1 is aligned with axis Y, A point light source with intensity 1 is located at (2,2,10) An observer is located at (3,1,4). He is looking in the direction of the origin of the coordinate system. What are the coordinates of the point on the...

Homework Statement Consider a homogeneously charged, infinitely long, straight wire of finite radius R. Determine the potential \phi(r) of the wire for r ≤ R and for r ≥ R. You must use the Poisson-Equation! Homework Equations Δφ(r) = -ρ(r)/ε ⇔ \frac{1}{r}\frac{∂}{∂r}(r\frac{∂φ}{∂r}) +...

If 1200∏ cm^2 of material is available to make a cylindrical can with a circular base an open top, find the largest possible volume of the can. the formulas i used: v=∏* r^2 * h surface area = 2∏r^2 + 2rh my attempt: 1200=r^2h∏ h=1200/r^2∏ SA=2∏r^2+2∏r(1200/∏r^2) =2∏r^2+...

urgent :Problem with a cylinder tank and a nozzle Hey guys, I have been given a problem and I really want your help cause I have some doubts:[/B] A cylindrical tank 1.52 m in diameter and 7.62 m high contains cottonseed oil having a density of 917 kg/m3. The tank is open to the atmosphere...

Hello! I'm completely lost trying to derive an equation that'll give me the driving force in a DAC, and I really need some help from you guys. The purpose of knowing this is to optimize the amount of air that is needed (24 litres are available, pressure up to 8 bar) to drive a...

Homework Statement A solid homogeneous cylinder of mass M and radius R is moving on a surface with a coefficient of kinetic friction μk. At t=0 the motion f the cylinder is purely translational with a velocity v0 that is parallel to the surface and perpendicular to the central axis of the...

Homework Statement Hi everyone! I did an experiment recently and I've come really far but I have some difficulties with the final equation. In this experiment you have to explain hollow cylinders rolling down an incline without using advanced physics like moment of inertia or something like...

If I push a cylinder along a surface with friction then am I right in saying that it would almost instantly start a pure rolling motion with a combination of translational and rotational kinetic energy? Or would it start initially with pure translational motion and gradually accelerate...

Homework Statement A conducting cylinder of radius r0 carries a current I uniformly throughout its volume. Find an expression for the magnetic field H at a distance r from the axis of the cylinder (a) for r < r0 , and (b) for r > r0 . Homework Equations Biot-Savart Law Amperes Law...

Homework Statement Let C be a cylinder of radius 1. It is cut by the x-y plane from below, and by the plane z-x=1 above. Parametrize all the surfaces of the cylinder. Find a unit normal (pointing outward) for each surface. Homework Equations Equation for a cylinder: x^2+y^2=1 Equation of the...

Homework Statement Find the volume of the solid bounded by the parabolic cylinder y = x^2 and the planes z = 3-y and z = 0Homework Equations The Attempt at a Solution Obviously, a triple integral must be used in the situation. Our professor never explained how to find the limits of...

Hi there, Is there someone who would know how to solve the following potential flow theory problem: How to find the flow field and resulting force on a cylinder moving at a constant velocity through a stagnant fluid in the presence of a wall. The motion of the cylinder is parallel to the...

Before I Start here is a disclaimer - I am not a professional CAD or Mechanical Engineer to know much about this. Also, All information I have is from the internet and have NO practical knowledge. Here we go then. I am currently working on building a High Performance Free Flow Exhaust...

"frozen-in" magnetization in a long cylinder hi I am doing this problem from Griffiths EM book on page 272 (3ed.) An infinitely long cylinder of radius R, carries a frozen-in magnetization parallel to the axis \mathbf{M}=ks\;\hat{z} , where k is a constant and s is the distance from the...

A cylinder with radius R and mass M has density that increases linearly with distance r from the cylinder axis, ρ = αr, where α is a positive constant. Calculate the moment of inertia of the cylinder about a longitudinal axis through its center in terms of M and R. I have I = ∫r^2dm and ρ...

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Homework Statement A cloth tape is wound around the outside of a uniform solid cylinder (mass M, radius R) and fastened to the ceiling as shown in the diagram below. They cylinder is held with the tape vertical and then released from rest. as the cylinder descends, it unwinds from the tape...

This is for an electromagnetic theory class. Homework Statement Prompt can be seen here Homework Equations J = I/A, J = σE, V = Ed, C = εA/d The Attempt at a Solution I'm having trouble mostly with parts i and ii, as the rest are fairly simple to acquire after figuring out those two...

So I've done some problems where a sphere intersects with a cylinder and I needed to find the volume of the intersected region using triple integrals. For example, if I needed to find the domain of integration for the intersection of the sphere $$x^2+y^2+z^2=a^2$$ and the cylinder...

Homework Statement A 3.0kg solid cylinder (radius=.15m, length=.7m) is released from rest at a top of a ramp and allowed to roll without slipping. The ramp is .9m high and 5m long. Find the rotational and translational kinetic energy. Homework Equations krot=1/2Iw^2 Ktrans=1/2mv^2...

Homework Statement So we have a compound cylinder, 100 mm internal diameter, 200 mm common diameter and an outer diameter of 300 mm. The pressure created by shrinking the outer cylinder on the inner cylinder is 30 MPa. If the maximum hoop stress on the outer cylinder is 110 MPa, what is the...

Homework Statement Construct a complex potential in the w-plane which corresponds to a charged metallic cylinder of unit radius having a potential Vo on its surface. The Attempt at a Solution I'm a bit confused on how to start deriving a complex potential for the cylinder. If I was given the...

Homework Statement rho of a hollow cylinder can be found with 4 measured quantity by the folowing formula, proof this formula Homework Equationsρ= 4.m ∏.(d²-D²).h d is the outside diameter and D the inside The Attempt at a Solution since it's my first time...

Homework Statement Using a value of n of 1.1, calculate the final pressure and temperature when the cylinder is compressed rapidly with a compression ratio of 15. Starting pressure = 101.325 kPa Starting temp = 298 K Homework Equations (V2/V1) = 15 The Attempt at a Solution...

Hi, I'm trying to solve this, but I keep getting both sides of the equation to be the same >.< A solid cylinder is initially moving along a flat surface without rotating. Due to the action of friction, it eventually begins rolling without slipping. The coefficient of friction is 0.22, the...

Hi, If I know that the peak cylinder pressure is 175 bar, how do I calculate the load (in Newtons) on the piston? Cheers, Dave

This is an even-numbered problem in my textbook that I'm looking at early though it hasn't been taught by my lecturer yet, because I need to know the concepts underlying it for a similar problem. Cld someone help me? Homework Statement Consider the case of a hollow cylinder rolling down a...

Homework Statement Hi I was reviewing for my final and I came across this problem: Problem: Basically there is a 6in long cylinder with dia = 24in Given weight density: 490 lb/ft^3 Each Hole is drilled symmetrically, each has 6in dia and equally space around a 10in dia circle concentric with...

Hi I was reviewing for my final and I came across this problem: Problem: Basically there is a 6in long cylinder with dia = 24in Given weight density: 490 lb/ft^3 Each Hole is drilled symmetrically, each has 6in dia and equally space around a 10in dia circle concentric with the cylinder...

Homework Statement Cylinder of radius a and a cylindrical hole b < a is displaced a distance d in x-direction. Current density \textbf{J}=J_z\textbf{e}_z. Show that a uniform magnetic field inside the hole is \textbf{B}=\frac{\mu_0}{2}J_zd\textbf{e}_y Homework Equations Using previous...

Homework Statement A cylinder rotating uniformly about the x' axis of S' will seem twisted when observed instantaneously in S, where it not only rotates but also travels forward. If the angular speed of the cylinder in S' is ω, prove that in S the twist per unit length is yωv/c(squared)...

Homework Statement A lawn roller in the form of a thin-walled, hollow cylinder with mass M is pulled horizontally with a constant horizontal force F applied by a handle attached to the axle. a)If it rolls without slipping, find the acceleration. b)If it rolls without slipping, find the...

Homework Statement A cylinder is initially at rest, how long will it take for the cylinder to turn one revolution? Homework Equations (Theta)f=(Theta)i+(alpha)(deltaT) The Attempt at a Solution I know that the distance of the cylinder to turn one revolution is 2Pi over speed. My...

Homework Statement A solid cylinder is pivoted about a frictionless axle as shown. A rope wrapped around the outer radius of 2 m exerts a downward force of 3N. A rope wrapped around the inner radius of 0.7 m exerts a force of 8 N to the right. The moment of inertia of the cylinder is 8 kg m^2...

Homework Statement Consider two long coaxial metal cylindrical tubes, with radii a and b and length L. (You may assume a,b<<L. Also a<b.) Suppose the inner cylinder is given a charge +Q and the outer cylinder a charge -Q. Using Gauss' Law, compute the electric field for all r between a and...