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. D

    Simple harmonic motion of two solid cylinders attached to a spring

    Homework Statement ) Two uniform, solid cylinders of radius R and total mass M are connected along their common axis by a short, massless rod. They are attached to a spring with force constant k using a frictionless ring around the axle. If the spring is pulled out and released, the cylinders...
  2. B

    Thick or thin walled cylinders

    20 m3 of gas at a pressure of 25 bar is to be stored in a cylindrical pressure vessel 2 m long. Given the following information : The yield strength of the vessel material is 14,000 psi If a factor of safety of 5 is to be used, determine: (a) Whether the vessel should be treated as a thin or...
  3. C

    Trigonometry problem involving cylinders.

    Homework Statement Three cylinders are placed in contact with one another with their axes parallel. The radii of the cylinders are 3, 4 and 5 cm. An elastic band is stretched around the three cylinders so that the plane of the band is perpendicular to the axes of the cylinder...
  4. T

    Stress on thick walled cylinders

    Could anyone explain the method of finding the circumferencial and longitudinal stress for thick cylinders?
  5. 9

    Two pulleys (one is a combination of two cylinders), and hanging mass.

    Homework Statement Two pulleys are mounted on fixed axles that have negligible friction. The small pulley has a moment of inertia of 9.0 kgm^2, and is made of up of two cylinders wielded together, one of radius 7.0 cm, and one of radius 15.0 cm. The large pulley has a radius of 41.0 cm, and a...
  6. C

    Capacitance Calculation for Dielectric-Filled Coaxial Cable

    Homework Statement A long cable consists of two coaxial conducting cylindrical shells of radius b and 3b. The region with radius ##\delta## between b and 2b is filled with a material of relative permittivity ##\epsilon_r \neq 1## and relative permeability ##\mu_r = 1##; the remaining space...
  7. L

    Calculating Cylinders Needed to Fill Room with NO2 Gas

    Homework Statement A 185 m3 room must be filled with 4 ppm NO2 gas (Nitrogen dioxide). The gas comes in cylinder of 200 bar and 50 liters (20x50 = 10,000 liters) and 50 ppm. How many cylinders are needed? Homework Equations 1 ppm = 1/1,000,000 (parts per million) (can't think of more...
  8. B

    V of 2 parallel lines makes cylinders

    Homework Statement Expanded from Griffith's (3rd ed) #2.47 Infinitely long wires parallel to x-axis carrying ±λ charge densities intersect the y-axis at ±a. A) Calculate V(x,y,z) if V(0,0,0)=0 B)Show that the equipotential surfaces are circular cylinders. Locate the axis and calculate...
  9. M

    Rising fluid between conducting cylinders

    Homework Statement Two long, hollow, and coaxial conducting cylinders, with radii a and b>a , are lowered into a tub of fluid with dielectric constant \kappa . A voltage V is applied between the two cylinders. The fluid is observed to rise up some height h into the volume between the...
  10. Saitama

    Cylinders filled with liquid; placed on a trolley

    Homework Statement Two cylinder shaped vessels of cross section A are fixed vertically to a trolley, which was initially at rest. The two vessels are connected with a thin horizontal tube which is equipped with a tap. The distance between the axes of the vessels is L. The vessel in the left...
  11. I

    Moment of inertia of combined cylinders

    Hi, I've attached a word document with my problem since I've used the Mathtype program (sorry, I didn't quite know how to use the tools on this forum), hope you don't mind :)
  12. L

    Compare Velocity of Center of Mass - Two Hollow Cylinders

    Homework Statement Homework Equations mgh=\frac{1}{2}mv^2+\frac{1}{2}Iω^2 The Attempt at a Solution I used conservation of energy, and found that the final velocity of the center of mass is independent of the object's mass, so in both cases: v=\sqrt{gh} . Therefore, the ratio is 1. However...
  13. F

    Radial displacement in hollow cylinders

    For an axisymmetric long tube, it is said that radial displacement is independent of axial coordinate. What is the justification for this simplification?. If u, v and w are axial , tangential and radial displacements then u=u(x,θ,r) v=v(x,θ,r) w=w(x,θ,r) Where x,θ,r are polar coordinates...
  14. S

    What is the pressure inside domestic LPG cylinders

    I have a domestic LPG cylinder. Composition - 20% Propane and 80% Butane. Temperature - Around 30-35 deg C. I wanted to know the temperature of the gas inside the cylinder or in other words, if i take gas out directly from the cylinder without using pressure reducing regulator, what will...
  15. V

    Replace traditional toggle lever with magnetic cylinders

    Hi there, Currently I'm working on a complicated project. I work for a packaging machinery company. The machine I'm currently working on has a critical section which you would call the 'the heart'. Here we move a 800KG (1700 Pounds) bed up and down by 50mm (2 inches). On the bottom of this...
  16. WannabeNewton

    Board on top of two cylinders - inclined plane

    Homework Statement See image: http://s18.postimage.org/6ql2zlo2x/board_n_cylinders.png The Attempt at a Solution I know it says conservation of energy but I just wanted to do it in terms of torque and forces first. The reason I'm not sure about my answer is because I barely had to use more...
  17. A

    Three Cylinders On Top of a Rough Surface and the Force

    Homework Statement Three cylinders with the same size, density, and structure are piled on each other and on top of a rough surface. Find the minimum angle which the direction of the force acting between the cylinders and the rough surface makes with the vertical? The cylinders are stacked...
  18. D

    Problems regarding 2 conducting cylinders

    Homework Statement Based on the picture, the inner cylinder has a radius R1 and the outer R2, σa=-σ ; σb=3σ each cylinders are of lengths greater than R1, ignore the end effects and neglect thickness of cylinder. a). What is the electric potential difference between the outer cylinder...
  19. L

    Mastering Physics: Rotational Motion Around Two Cylinders

    Homework Statement The ropes in the figure are each wrapped around a cylinder, and the two cylinders are fastened together. The smaller cylinder has a diameter of 10 cm and a mass of 5.0 kg; the larger cylinder has a diameter of 20 cm and a mass of 20 kg. What is the angular acceleration of...
  20. L

    Rotational Motion Around Two Cylinders

    Homework Statement The ropes in the figure are each wrapped around a cylinder, and the two cylinders are fastened together. The smaller cylinder has a diameter of 10 cm and a mass of 5.0 kg; the larger cylinder has a diameter of 20 cm and a mass of 20 kg. What is the angular acceleration of...
  21. M

    Electric Potential for Concentric Cylinders

    Homework Statement What is V(P) – V(R), the potential difference between points P and R? Point P is located at (x,y) = (50.0 cm, 50.0 cm). Homework Equations V=-∫Edl flux=∫EdA=Q/ε The Attempt at a Solution My attempt is in the attached photo to illustrate that I have worked the...
  22. D

    If two functions are homotopic must their mapping cylinders be also?

    Hey I feel like I understand the concept of two spaces being homotopic and I can "visualize" the concept because I think of one space kind of continuously morphing into the other. But when it comes to thinking of homotopy between functions, I have a harder time. I was trying to think of a way...
  23. D

    Determining the oscilation of a ruler resting on two spinning cylinders

    Homework Statement A 75 gram ruler is evenly placed between two cylinders spinning clockwise on the left and counter clockwise on the right. The coefficient of friction between the ruler and the spinning cylinders is 0.2. You push the ruler to the right by 0.12 meters. It returns to you by...
  24. M

    Guass Law involving conducting cylinders

    Homework Statement Two coaxial cylindrical conductors are shown in perspective and cross-section above. The inner cylinder has radius a = 2.0 cm, length L = 10.0 m and carries a total charge of Qinner = + 8.0 nC (1 nC = 10-9 C). The outer cylinder has an inner radius b = 6.0 cm, outer radius c...
  25. D

    Two air cylinders acting against each other

    I'm trying to design a system in which one air cylinder (single piston) can reach 4 repeatable positions. Multi-piston cylinders won't work because I need fine adjustment in the position of each of the four stages. The four positions are at 0 inch, 1 inch, 2 inch and 3 inch. My idea was to...
  26. R

    Uniqueness Theorem, Concentric Equipotential Cylinders & Moving Charge

    Homework Statement Consider two electrodes 2 mm apart in vacuum connected by a short wire. An alpha particle of charge 2e is emitted by the left plate and travels directly towards the right plate with constant speed 106 m/s and stops in this plate. Make a quantitative graph of the current in...
  27. S

    Why Can't We Calculate Sphere Surface Area with Infinitesimal Cylinders?

    We know that we calculate the volume of sphere by taking infinitesimally small cylinders. ∫ ∏x^2dh Limits are from R→0 x is the radius of any randomly chosen circle dh is the height of the cylindrical volume. x^2 + h^2 = R^2 So we will get 4/3∏R^3 Now the question is why cannot we...
  28. J

    Calculating Magnetic Fields in Cylinders w/ Currents

    Homework Statement Consider two infinitely long cylinders with radius a and b and currents: J = (Jo r)/a for r less than a -Jo for a less than r less than b Find the magnetic field in 1) r less than a 2) a less than r less than b 3) r greater than bHomework Equations The...
  29. C

    Height of oil of above water U cylinders

    An open U shaped tube is initially partially filled with water (ρ=1000 kg/m^3). A 10 cm high column of oil (ρ=800 kg/m^3) is poured into the right side of the tube. What is the height of the oil above the water? I set the water and oil equal to each other. (800)(10)(9.8)=(1000)(H)(9.8)...
  30. S

    Thermal Insulation Of Hydraulic Cylinders

    Hi All, I'm working on a Hydraulic Tire Curing Press Project.There are Hydraulic cylinders in many regions of the press.Steam @ 220 deg c is used to heat the tire to bring about vulcanization process.The press earlier supplied to the customer had thermal insulation problems due to which the...
  31. A

    Automotive Using wire EDM for cylinders production

    Cylinders for Piston Engines go through a final process of grinding and honing to achieve a surface finish that is fine enough to prevent as much friction as possible yet rough enough for holding engine oil for lubrication between the Cylinder and the Piston. The required Surface Finish is...
  32. B

    Plank being pulled across two cylinders

    Homework Statement A plank with a mass M = 6.30 kg rides on top of two identical, solid, cylindrical rollers that have R = 5.30 cm and m = 2.00 kg. The plank is pulled by a constant horizontal force Farrowbold of magnitude 5.00 N applied to the end of the plank and perpendicular to the axes of...
  33. J

    Pulling a plank across cylinders - Rotational Dynamics

    Homework Statement A plank with a mass M = 6.10 kg rides on top of two identical, solid, cylindrical rollers that have R = 4.10 cm and m = 2.00 kg. The plank is pulled by a constant horizontal force F of magnitude 4.80 N applied to the end of the plank and perpendicular to the axes of the...
  34. S

    Heat transfer between two cylinders

    Imagine two cylinders in which one cylinder in within another.(Please refer attachment) The annular space between the two cylinders is filled with air. The outer cylinder is provided with a substantially large cut out The inner cylinder is maintained at a temperature say 200 deg c I...
  35. A

    Potential inbetween two coaxial cylinders

    Homework Statement There are 2 coaxial cylindrical conductors. The inner cylinder has radius a, while the outer cylinder has radius b. There is no charge in the region a < r < b. If the inner cylinder is at potential Vo and the outer cylinder is grounded, we want to find the potential in...
  36. J

    E-field between two concentric cylinders (not homework)

    Hi, I have a question. Suppose you have two concentric cylinders of radii a and b with opposite uniform surface charges, line charges or something to that effect. Now, I know (or was told) that the E-field between the two, that is for a<r<b, is equal to the field from the inner cylinder (radius...
  37. E

    Strain Gauges for small cylinders

    Hello all, I would like to know if there are strain gauges out there that could be used for small cylinders. To describe the problem/design more thoroughly, I am trying to design (or purchase) a cylinder no bigger than 3mm. When the end of the cylinder is compressed (across the circular...
  38. S

    Classical Mechanics: Forces on two cylinders

    Homework Statement Two identical, uniform and rigid cylinders, each of radius a and mass m, are laid horizontally at rest inside a rigid box of width w. There is no friction acting at any of the four contacts. i) Draw a diagram for each cylinder showing the forces acting on it alone...
  39. A

    Potential difference between two cylinders

    I need help with the attached exercise. Problem is not that I am not able to do it. You can find the field of an infinite cylinder with Gauss' law and then use that to find the potential difference. My solutions notes however do it in a slightly different way, still arriving at the correct...
  40. Peeter

    Solving Steady Flow b/w Rotating Cylinders

    Homework Statement Consider the steady flow between two long cylinders of radii R_1 and R_2, R_1 > R_1, rotating about their axes with angular velocities \Omega_1, \Omega_2. Look for a solution of the form, where \hat{\boldsymbol{\phi}} is a unit vector along the azimuthal direction...
  41. O

    Mechanics of Solids Cylinders with Lateral Loads

    Hi, I have been searching the web for hours now, and I have had some success, but I have not found everything I am looking for. The best thing I have found was a similar arrangement in Hibbeler’s Mechanics of Materials (hence the name of the thread). This had a short rod of aluminium in a vice...
  42. N

    Ansys - Boundary conditions for 2 cylinders and fluid

    ansys -- Boundary conditions for 2 cylinders and fluid i want to do a analysis in ansys in which a cylinder will rotate about a axis which is out side of the cylinder and this cylinder is also rotating about its own axis. cylinder is half filled with liduid. i want to do the stress analysis or...
  43. K

    Electric Charge Distribution in Cylindrical Capacitors

    Homework Statement A potential difference of 160V is applied across two col-linear conducting cylinders. the radius of the outer cylinder is 15 cm, the radius of the inner cylinder is 10 cm, the height of the two cylinders is 38 cm. a. How much charge is applied to each of the cylinders? b...
  44. K

    CRANE: How to calculate the strengths on hydraulic cylinders? (static + dynamic)

    Hi there. I've got issues. Big ones. I need to simplify this crane structure, and calculate the strength on cilinder |c1c2| when applying a vertical load on the crane's hook. The purpose of this is to find how much of the strength is absorbed by the first cylinder (and possible the second one...
  45. M

    [Material Science] Thin Walled Cylinders & Yield Criterion

    Homework Statement A long cylindrical boiler shell is 1.75 m in diameter and has a wall thickness of 12 mm. Treating the boiler as a thing shell, predict what internal pressures will produce yield in the shell according to the: (a) Rankine, (b) Max. Principal Strain, (c) Tresca and (d) Von...
  46. S

    Find a vector tangent to the curve of intersection of two cylinders

    I have attached both the question and the solution. I just have questions as to why the solution is the way it is (sorry if they seem stupid but, while I get how to do it mechanically, I don't understand the fundamental reasoning as to why anything is being done): 1) Why are we taking the...
  47. V

    Circular Motion Problem: An Adventure inside Spinning Cylinders

    Homework Statement A 60.0 kg person is stuck against the inner wall of a rotating cylinder. The radius of the cylinder is 10.0 m and the period is 2.00s. What is the minimum coefficient of static friction required to stop him from sliding? Homework Equations Fnet = (4m∏^2R)/T^2...
  48. B

    Common Volume of 2 unequal cylinders with axis that don't intersect

    1. This isn't homework, this is personal study, but i think it really fits the form of a "textbook style question". I need to find the volume of two intersecting circular cylinders of unequal radius and axis that don't intersect but are at right angles. 2. i have no relevant...
  49. S

    Two cylinders rolling without slipping

    Homework Statement Two cylinders (radius R) start from rest and roll without slipping down ramps. They both have the same masses and moments of inertia. The ramps are both at the same angle. One cylinder (A) is directly on the ramp. The other (B) is hanging from two smaller cylindrical bits...
  50. M

    Residual stresses in thick cylinders (Autofrettage)

    Hello, I have been working on a question regarding thick cylinders and determining the factor of safety (FOS). I have attached the main part of the question that I was able to solve. However, the question now asks that due to the low FOS, the cylinder is subjected to an autofrettage...
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