What is Cylinders: Definition and 272 Discussions

A cylinder (from Greek κύλινδρος – kulindros, "roller", "tumbler") has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes. It is the idealized version of a solid physical tin can having lids on top and bottom.
This traditional view is still used in elementary treatments of geometry, but the advanced mathematical viewpoint has shifted to the infinite curvilinear surface and this is how a cylinder is now defined in various modern branches of geometry and topology.
The shift in the basic meaning (solid versus surface) has created some ambiguity with terminology. It is generally hoped that context makes the meaning clear. Both points of view are typically presented and distinguished by referring to solid cylinders and cylindrical surfaces, but in the literature the unadorned term cylinder could refer to either of these or to an even more specialized object, the right circular cylinder.

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  1. O

    Charges of three long charged cylinders centered on 1 axis

    The figure shows a section of three long charged cylinders centered on the same axis. Central cylinder A has a uniform charge qA= +3q0. What are the charges of qb and qc if E is 0 on point > a) 1 ( between A & B ) b) 2 ( between B & C ) c) 3 ( out side the cylinders ) My solutions were based on...
  2. R

    How Do You Calculate Current Density Between Coaxial Cylinders?

    Homework Statement [/B] Two long, coaxial metal cylinders are separated by a material of conductivity sigma and dielectric constant epsilon. The radius of the inner cylinder is a, the radius of outer cylinder is b, and the length of both is L. Suppose that the inner conductor is held at a...
  3. J

    Finding the potential between two coaxial cylinders

    Homework Statement . Trying to find the potential between a variable capacitor that is made up of two coaxial cylinders of radii a and b, with (b-a) << a, when inner cylinder displaced by a distance y along axis. 2. Homework Equations E = λ / 2piε0r V = λ/2piε0 * ln(b/a) when there is...
  4. arpon

    Demagnetizing effect of toroids or long thin cylinders

    I read in the book, "Experiments on paramagnetic materials are usually performed on samples in the form of cylinders or ellipsoids, not toroids. In these cases, the value of the magnetic field inside the material is somewhat smaller than the value of magnetic field generated by the current in...
  5. Kirito123

    Volume of Cylinders: Find V w/ Pi r2h

    Homework Statement Homework Equations V= Pi R2H The Attempt at a Solution V = Pi r2h They gave us the radius and the height (the length can be used as height). They Diameter is 0.9 to find the radius I just divide by 2 = 0.45. So now I find the volume of the cylinder using the formula “V=...
  6. Z

    Tension of rod connecting two cylinders

    Homework Statement Two cyllinders of equal size and of mass M (one hollow, one solid) are connected along their common axis by a light rod and placed on an inclined plane with an incline of α (both cylinders are on the same height initially). The system of cylinders then begins to roll down...
  7. R

    2 Cylinder elastic rotational collision

    Homework Statement [/B] A cylinder with mass 3kg slides on ice with its base surface at 5m/s and collides with an identical but stationary cylinder. The collision is elastic. After the collision, the center-masses of the cylinders move at angles 45 and 30 degrees from the starting direction...
  8. Ryaners

    Electric field in two concentric conducting cylinders

    Homework Statement Two concentric cylindrical conducting shells of length L are separated by a vacuum. The inner shell has surface charge density +σ and radius ra. The outer shell has radius rb. Using Gauss’ Law, as a function of radius r find: The direction and magnitude of electric field...
  9. Patrick23

    Robot Arms -- which pneumatic cylinders and valves to use?

    Hi, Im trying to make robotic arms actuated by pneumatic valve which I found here http://www.e-pneumatic.com/valves/pneumatic-valves.html And also cylinders here http://www.e-pneumatic.com/pneumatic-cylinders.html and I wanted to ask if one of these cylinder types would work as a robotic arm...
  10. K

    Design a automatic locking mechanism for two concentric cylinders

    How much force required to pull the actuator pin from the solid cylinder Weight of the solid cylinder is 15kg And angle of inclination 30 , Coefficient of friction 1.5
  11. W

    Complex Loading Systems And Loaded Beams And Cylinders

    Hello this is my first post here so basically I've had my best crack at all the questions all I am really after is a bit or re assurance as to my answers and if any are wrong were I have gone wrong essentially. I've tried to include all my working out were possible. 1. Homework Statement The...
  12. S

    Calculate E Field between 4 cylinders

    Hi, I have four cylinder with circular cross section. Each has the same potential (+V) applied to it. They are all the same size, length, diameter etc. and each are spaced an equal distance apart so that they all touch on to an imaginary circle with a distance x from the origin. How to...
  13. E

    Torque of rotating coaxial cylinders with gas between them.

    I was going through a worked example in book "Concepts in Thermal Physics" by S.J. Blundell and K.M.Blundell. The example talks about measuring viscosity of a gas between two coaxial cylinders. Homework Statement Two vertical coaxial cylinders. Outer cylinders is rotated by a motor at constant...
  14. W

    A plank that rests on top of two identical cylinders.

    Homework Statement Dont need to read the problem, just copied it on for the figure: So a plank rests on top of two identical cylindrical rollers - rolling without slipping both between cylinders and plank, and cylinders and surface. My book says that center of each roller moves forward only...
  15. thorq

    Parallel string walking between two threaded cylinders?

    Hello, I have a problem that seems to have beaten me. I want to make a cable-driven reduction system between a threaded rod (pinion) and a larger threaded cylinder. Because of string walking, the string between the two has to stay at all times straight, parallel to the ground so that...
  16. A

    Capacitance of 3 Hollow Cylinders

    Homework Statement I'm trying to find the capacitance of a system of 3 concentric hollow cylinders. The first cylinder has radius R, the second radius 2R, the third radius 3R. Cylinders 1 and 3 are connected by a wire. In total, they have charge +λ, and the second cylinder has charge -λ. The...
  17. R

    How much pressure needed for pneumatic cylinders to lift?

    Hello, I work for a company specialized in building van bodies. The problem is our engineer left and I know nothing about pneumatics. The customer's requirement is to be able to raise and lower the roof by up to 1 m. The box bodies are 7-8 meters long, so I think 6-8 pneumatic cylinders will...
  18. kostoglotov

    2 cylinders intersect, area of resulting parametric surface

    Homework Statement I want to know if I got the answer correct and if my reasoning is sound. The text answers and solutions manual only gives answers/solutions for odd numbered problems. Here is the problem: And a direct link to the imgur page: http://i.imgur.com/Tko1xFh.png Homework...
  19. C

    Potential of charged cylinders

    Homework Statement An infinite solid cylinder of radius A and uniform charge distribution ρ is surrounded by a thin cylindrical envelope of radius B and linear charge distribution λ. The two cylinders are co-axial. Find the potential V(r) as a function of r from r=0 to r=∞. Homework Equations...
  20. wirefree

    Two cylinders: free to fall and rotate

    Problem: Find the acceleration of the blue cylindrical disk. Both, red and blue, cylinders have same mass and radius, and string is massless. Attempt: Identified three equations: one for linear acceleration of blue cylinder, and two of angular accelerations (one each for blue and red...
  21. V

    The total charge between two cylinders

    Homework Statement We have a discharge tube where the cathode is a cylinder with radius a and the anode is a coaxial cylinder with radius b, a<b. Both cylinders have length L, (Note that L can not be seen as large).The potential of the cathode is 0 and the potential of the anode is U>0. The...
  22. S

    Why is the flux through the top of a cylinder zero?

    This is example 27.2 in my textbook. I have the answer, but it doesn't make sense to me. I understand that if electric field is tangent to the surface at all points than flux is zero. Why, though, does my textbook assume that the ends of the cylinder don't have field lines extending upwards and...
  23. C

    Calculating Flow Rate for CO2 Cylinders System

    Hello guys, I need to calculate the flow rate for the following system. 2 lines of CO2 cyclinders at 60 bar. Each line (1/2'') goes to a 1/2'' PSV valve. Downstream the 2 PSV the line are collected together into 1'' pipe. The two PSV are identical and as per datasheet they have the following...
  24. Zanker

    Electric Field & Potential of infinite concentric cylinders

    Homework Statement Consider an infinitely long solid cylinder of uniform linear charge density λ1 and radius a inside a hollow cylindrical pipe of inner radius b and outer radius c and uniform linear charge density λ2. A cross-sectional view of the system is shown below(linked and attached)...
  25. A

    E-field and charge density outside two coaxial cylinders

    I am working on a problem of electrostatics, and I am having troubles in trying to figure out one part of it. 1. Homework Statement It consists of an inner solid cylinder of radius ##a## with a voltage ##V_A##, and an outer coaxial cylindrical shell of inner radius ##b## and outer radius ##c##...
  26. Scott Davies

    Why are there no pneumatic cylinders for CO2 PSI?

    I have only found pneumatic cylinders for pressures up to 450 PSI. Why do they not make them for higher pressures?
  27. terryds

    Cylinders rolling down without slipping

    Homework Statement Two solid cylinders are placed on an inclined plane with inclined angle Θ. Both mass of cylinders are m, but the radius bigger cylinder is two times the radius of small cylinder. A string links the big cylinder's center to small cylinder's top (see picture). Both cylinders...
  28. K

    Coefficient of friction between cylinders

    Homework Statement 3 cylinders of mass m and radius 0.5[m]. what is the minimum coefficient of friction between them. Homework Equations Friction: f=μN The Attempt at a Solution f, the friction force, balances the torque of the weight: $$mg\cos30^0\cdot0.5\sin30^0=\mu\cdot mg\cos30^0\cdot...
  29. T

    Two cylinders in contact come to final angular velocities

    Homework Statement Two cylinders, made from the same material and having the same length,have radii r1 and r2with r1> r2. Both are free to rotate about their respective axes. The larger cylinder is initially rotating with angular velocity ωo. The smaller cylinder is moved until it comes into...
  30. ELB27

    Finding resistance of cylinders with variable conductivity

    Homework Statement Suppose the conductivity of the material separating two coaxial cylinders, of radius a and b (a < b) and held at a potential difference ##V##, would not be uniform. Specifically, ##\sigma(s) = k/s##, for some constant ##k##. Find the resistance between the cylinders. [Hint...
  31. B

    Strange constant, rolling cylinders.

    Homework Statement We have experimented on rolling cylinders and have gotten the function for a rolling cylinder but have gotten a strange constant from experiment. Homework Equations t = 2\sqrt{\frac{l}{g}(1+\frac{r}{R})\frac{1}{\sin{\theta}}}-0.5 The Attempt at a Solution Is this constant...
  32. littlejon

    Two identical cylinders different gasses

    Homework Statement Homework Equations pv = nrt The Attempt at a Solution TA = TB/2 Ta<Tb
  33. thephysicist

    What happens when two spinning cylinders come in contact?

    If two spinning cylinders with different MoIs and angular speeds and different radii come in contact with each other at the curved surfaces, how to find out the final angular speeds given all initial parameters? There will be a friction acting at the line of contact and perpendicular to it as...
  34. I

    MHB Cylinders and quadric surfaces

    ok so this is the part I am really struggling with. we need to be able to recognize an ellipsoid, cone, elliptic paraboloid, hyprboloid of one sheet, hyperbolic paraboloid, hyperboloid of two sheets given an equation. he's going to give us an equation of one and ask us to identify and sketch the...
  35. M

    How do I transfer propane between two similar sized cylinders?

    Hi, I made a metal cylinder that is the SAME size as my 400g propane cylinder (picture: https://2ecffd01e1ab3e9383f0-07db7b9624bbdf022e3b5395236d5cf8.ssl.cf4.rackcdn.com/Product-800x800/7a66c8cb-d697-4680-9321-fcb73ede75c9.jpg). I want to transfer ALL (or almost all) of the propane from the...
  36. F

    Java I'm unsure why java won't recognize radius and height

    Why is this java code wrong? I'm unsure why java won't recognize radius and height. Both should be fields for any object of the Cylinder class. My declaration for PI may be off, but that doesn't produce an error. public class Cylinder { public static final double PI...
  37. E

    Coaxial Cylinders Flow: Examining Velocity & Stress in a Rotating Fluid

    A real incompressible fluid is contained in the region between two coaxial cylinders of radii R1 and R2. The outsider cylinder rotates with angular velocity w, in stationary regime, and the flow is purely circular. Neglect the action of gravity. a) Show that vφ (azimuthal velocity component)...
  38. R

    Potential difference between two infinite cylinders

    Homework Statement Find the potential difference between two oppositely charged, infinite cylinders of radii R whose axes lie at $$y =+\frac{d}{2}$$ and $$y = -\frac{d}{2}$$ They have surface charge densities of magnitude $$\sigma$$ Homework Equations The family favourite - Gauss' Law...
  39. schrodingerscat11

    Electric field lines from very long cylinders and thin disks

    Homework Statement Good day everyone. I am studying Gaussian cylindrical surfaces. I have three questions: (1) Books would say that the electric field lines would emanate from the lateral side of the cylinder and that the ends will not contribute anything. I cannot understand this because...
  40. L

    Electric and magnetic field between concentric, conducting cylinders

    Homework Statement # Two long, concentric, conducting cylinders of radii and b (a<b) each carry a current I in opposite directions and maintain a potential difference V. An electron with velocity u (parallel to the cylinders) travels undeviated through the space between the two cylinders...
  41. tristanm

    Electric Fields of Cylinders and Cylindrical Shells

    Homework Statement 1. Use Gauss' Law to calculate the electric field at a radius of 5.0cm from the z-axis 2. Use Gauss' Law to calculate the electric field at a radius of 8.0cm from the z-axis 3. What is the surface charge density σmetal on the outer surface of the metal cylinder...
  42. F

    Stress Distribution in Compound Cylinders

    Homework Statement A long, hollow, thick elastic cylinder (E , v) is surrounded by a thin elastic band of thickness t made of a different material (E_2 , v_2). The fit is ideal, such that neither a gap nor a pressure exists. An internal pressure p is then applied at the inside radius (r=a) of...
  43. D

    Calculating Resistance for Cylindrical Conductors

    Homework Statement can anybody help me with this question? my ans is different from the ans given... i need explanation on this ! here's my attempt by the way. r=pl/a . r=resistance , p = resistivity l=length r=(1.69e-8)(2pi )(6e-2 +1.5 e-3 )(300) / (pi )(1.5e-3)^2 what's wrong with...
  44. M

    Alternate shapes for compressed cylinders

    Good Morning everyone.. Has there been discussion on here regarding alternate shapes for compressed air cylinders (+3000 psi) I know why compressed cylinder are the shape they are, but in this day and age of science & technology, why are we still using round cylinders? could one not design a...
  45. reenmachine

    Random question about cones and cylinders volume

    A cone's volume with height ##x## and radius ##y## is ##1/3## of the volume of a cylinder with height ##x## and radius ##y##.I was trying to visualize it in my head and struggled a bit.Take a rectangle triangle with height ##x## and the other side of length ##y## which isn't the hypothenuse ...
  46. T

    Rotational Inertia in two cylinders

    Calculate the kinetic energies of two uniform solid cylinders, each rotating about its central axis. They have the same mass, 1.25 kg, and rotate with the same angular velocity, 235 rad/s, but the first has a radius of 0.18 m and the second a radius of 0.73 m. I got 12112188.868 for ω, and...
  47. R

    Electric field lines produced by two eccentric charged cylinders

    Homework Statement This is the theory for a laboratory session. If we have two hollow cylinders, one with radius r1 and the other with radius r7, the center of the first one being placed at a distance d from the center of the second one, what are the surfaces having the same electric...
  48. M

    Cylinders compressed by pressure

    Hello all, some colleagues and I have run across a problem that we cannot seem to explain, I was hoping to find some guidance here. The problem came about from messing with an air over hydraulic system. I have attached a very rudimentary mspaint picture with our scenario. Using 3 in place of...
  49. T

    Generating randomly oriented non-intersecting cylinders in a unit cell

    Hi all, Im trying to think of a way of generating non-intersecting randomly oriented cylinders within a unit cell volume for micromechanical analysis. Several research papers suggest a monte-carlo approach was used by displacing cylinders by vectors until the "condition was satisfied" -...
  50. noffya

    Center of Mass in a system of cylinders

    Homework Statement A collar brass 50 mm length is mounted on an aluminum bar 80 mm in length (density of brass 8470 kg / m 3 density of aluminum 2800 kg / m 3 ). Find the height to which is the center of mass of the composite body. Homework Equations COM= m1*x1+m2x2/m1+m2 The...
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