Cylinders Definition and 254 Threads

hey How can i do that? Can anyone of you help me?greets button MATHEMATICA

Volume of the intersection of two cylinders by cylinderical co-ordinates Homework Statement find Volume of the intersection of two cylinders by cylindrical co-ordinates The Attempt at a Solution IN the attached file I found it's 8(a^3)/3 It should be 16 not 8

Homework Statement I am trying to find the volume of three intersecting cylinders that intersect at right angles given that the radius is 5. I have found many sites that state just the answer, but I am after the proof for it showing all of the working. I know how to prove the rule for 2...

Alright guys, wouldn't have wanted this to be my first post, but here it goes; I'm trying to find out the length of a loop which is enclosing 'n' number of cylinders. I've found the length of the loop touching the cylinders, and now need to find the rest of the length of the loop (which is...

Homework Statement Consider the cross sections of two, very long, concentric, metallic, hollow cylinders placed in a vacuum. The small cylinder has inner radius A and outer radius B while the larger cylinder has inner radius 2A and outer radius 2B. Initially the small and big hollow...

Homework Statement [This probably seems really easy to the physics whizzes out there but...*blushes*] Two identical cylindrical vessels with their bases at the same level each contain a liquid of density 1.30x103 kg/m3. The area of each base is 4.00cm2, but in one vessel the liquid height is...

Homework Statement Hi PF, See figure for a clear view of the situation. (There's a cylinder attached to a ceiling so that it cannot move. There's a cord on it and the cord goes down until another cylinder is attached to it. So that the only cylinder that can move is the one at the bottom...

Three identical, solid, uniform density cylinders, each of mass 16 kg and radius 1 m, are mounted on frictionless axles that are attached to brackets of negligible mass. A string connects the brackets of cylinders #1 and #3 and passes without slipping over cylinder #2, whose bracket is attached...

Hello: Can someone help? I have 2 concentric cylinders which are both conductors. The inner conductor has linear charge density of 6 n C/m. The outer conductor has no net charge. The inner conductor has R of 0.015m, the distance between the inner conductor and the inner wall of the...

Homework Statement A think cylindrical shell and a solid cylinder have the same mass and radius. The two are released side by side and roll down, w/o slipping, from the top of an inclined plane that is 4.9m above the ground. When the first object reaches the bottom, what is the height above...

Homework Statement Consider the equation below. x^2 = 3y^2 + 5z^2 Reduce the equation to one of the standard forms. I believe its surface is a cone, but I'm not sure how to get it into the form z^2/c^2 = x^2/a^2 + y^2/b^2 thanks!

I'm really having trouble with these three problems. I'd post my attempts but most of it is in graph from. 3. David subjects a cylindrical can to a certain transformation. During this transformation the radius and height vary continuously with time. The radius is increasing at 4 in/min...

Homework Statement Find the surface area of the surface x^2 + y^2 + z^2 = a^2 , that is outside the two cylinders x^2+y^2=\pm ax. (a>0) Homework Equations ds= \sqrt{1+(Z_x')^2+(Z_y')^2}dxdy The Attempt at a Solution The intersections are clearly four ellipses. I will try to...

I have an EPW that I don't quite know how to get started. Below is the EPW question and then after that is what I am stuck with. There are n identical cylinders glued upright to a board. Each cylinder has a radius of r and that centers of their bases lie on a large cirlce of radius R They...

I have an EPW that I don't quite know how to get started. Below is the EPW question and then after that is what I am stuck with. There are n identical cylinders glued upright to a board. Each cylinder has a radius of r and that centers of their bases lie on a large cirlce of radius R They...

I'm looking for a formula to calculate the resonant frequency of a capped cylinder. I have found a link to a formula but was surprised to see that cylinder radius is not taken into account when making the calculation. It was my understanding that the larger the radius of a cylinder the lower...

Below is some code that creates a semi-transparent cylinder. firstcylinder = ParametricPlot3D[{Cos[t], u, Sin[t]}, {t, 0, 2 Pi}, {u, -2, 2} , PlotStyle -> {Red, Opacity -> .3}, Mesh -> None]; Show[firstcylinder] Draw a second cylinder that is perpendicular to the given cylinder. Draw a...

Homework Statement A 50 kg block is transported a short distance by using two cylindrical rollers, each having a mass of 17.5 kg. If a horizontal force P=125N is applied to the block, determine the block's speed after it has been displaced 2m to the left. Originally the block is at rest. No...

Homework Statement 1. from a design engineers point of view identify consisely the relative meris of the emperical TRESCA and VON MISES approaches as applied to open ended thick walled cylinders. Hence specify with reasons what you believe to be the most appropriate approach...

Homework Statement Consider two quarters of a cylinder of radius R. What is the volume of a the intersection of a two quarters of two cylinders if the quarters meet at a right angle? Two sides of the bounded region will be rectangular according to this arrangement. (see the diagram when it...

1. Homework Statement Find the surface area of the region common to the intersecting cylinders x^2 + y^2 = 1 and x^2 + z^2 = 1. 2. Homework Equations 3. The Attempt at a Solution I know that the answer is 16 but why? How can we parametrize this surfaces? The...

Homework Statement Static problem Three identical cylinders of mass m are arranged in a triangle as shown: http://img440.imageshack.us/img440/2040/cylindersjo4.jpg The friction coefficient between cylinders is "u[SIZE="1"]1" and between cylinders and ground "u[SIZE="1"]2". What...

Hi, when two cylinders in contact, but not parallet to each other (skewed), are rotating, there is a development of forces between them which tends to push one cylinder along its rotation axis and the another one to the opposite side. In other words, there will be translation movement between...

Hi, when two cylinders in contact, but not parallet to each other (skewed), are rotating, there is a development of forces between them which tends to push one cylinder along its rotation axis and the another one to the opposite side. In other words, there will be translation movement between...

I have two hollow cylinders of different sizes. The smaller cylinder is inside the larger cylinder but NOT concentrically. The OD of the smaller cylinder contacts the ID of the larger cylinder at the 6 o'clock position. Both cylinders rotate but in opposite directions. An actuator pushes the...

I'm having trouble on this problem - Find the volume of the object created by rotating an equilateral triangle around its base. Solve using both shells and cylinders. Any help would be appreciated :)

Homework Statement The five masses below all have the same radius and a cylindrically symmetric mass distribution. They start to roll down an inclined plane, starting from rest, at the same time and from the same height. Give theri order of arrival at the bottom (i.e., ABCDE, DCBAE) A...

Homework Statement This is a sample exam problem. We have an exam coming up, and I think I better know how to do this problem(the right and quick way). I'm just copying and pasting the problem. 2. Two identical metal cylinders are stacked as shown in Figure 2. The weight of each...

Homework Statement Ok, my problem has 3 smooth homogeneous cylinders(A,B,C), which are stacked in a V shaped trough.(the cylinders...look more like circles) are also all touching each other and each is touching a surface of the trough. The trough angles are Left = 30 deg and right = 45 deg...

Hi, I am doing a project involving spherical wheels. I need some help with regards to the role played by friction on motion of spheres and cylinders (normal car wheels) on roads. Will friction act forward or backwards ?? Which type of wheel would be more advantageous ? Would appreciate any...

I have a high speed rotating shaft (~30,000 rpm). Outside the shaft I have a relatively stagnant volume of fluid surrounded by a non-rotating cylinder (housing). I am looking to find a 'simple' laminar flow model to describe the pressure of the fluid fat any point radially from the OD of the...

Hi, I'm having trouble with the following question. Q. Use triple integrals and cartesian coordinates to find the volume common to the intersecting cylinders x^2 + y^2 = a^2 and x^2 + z^2 = a^2. This question pops up in basically every introductory calculus text. I've seen it before but I...

Hey everyone... I think I am not picking up on something here... The rate of heat flow across a slab is: P = (k*A*T)/D where k is the thermal conductivity of the medium, A is the cross sectional medium and T is the temperature...

Two coaxial cylinders, inner radius a and outer radius b are separated by a material of conductivity given by \sigma (r) = k/r for some constant 'k'. Find the resistance between the cylinders. Here the conductivity is a function of position and the charge density is not zero in the resistive...

Two long, charged, concentric cylinders have radii of 3.0 and 6.0 cm. The charge per unit length is 4.8 10- 6 C/m on the inner cylinder and -8.0 10-6 C/m on the outer cylinder. Find the electric field at (a) r = 4.0 cm and (b) r = 7.1 cm I know how to find the electric field for...

I'm trying to remember how to calculate the equlibrium height of a system of 2 cylinders connected by a tube at the bottom with the smaller cylinder open to the atmosphere and 702.9N pressing down on the other side. I believe it has to do with the pressure being equal on both sides or...

This will be a long thread... hope you'll take the time to read, cause I really need help. A plank with a mass M = 6.00 kg rides on top of two identical solid cylindrical rollers that have R = 5.00 cm and m = 2.00 kg. The plank is pulled by a constant horizontal force F of magnitude 6.00 N...

Hello, I would be interrested in comments, references, books, papers and web pages regarding the problem of mechanical contact between two rings. The attached picture describes the geometry of the problem: a ring (tube) is resting on the bottom of a larger ring (tube). These two rings are...

GR allows for the possibility of travel in time by the space-dragging effect of an infinitely long, dense, rotating cylinder. Q: Why does the cylinder have to be infinitely long? A: It doesn't, an extremely long cylinder will do - long enough to eliminate "edge effects". Q: Why even...

Q. Find the volume of the solid which is bounded by the cylinders x^2 + y^2 = r^2 and y^2 + z^2 = r^2. To me they don't really look like equations of cylinders, more like circles. Would the term "r" be constant in this case? Or would it be a variable? Even if r is a variable, I don't understand...

I am a struggling physiology PhD student and would very much appreciate some help... I need an expression for the capacitance of a cylinder (of finite radius and length) containing an infinite number of infinitely thin cylinders. Any help would be greatly appreciated! Many thanks, -Ian

Hi, could someone offer some advice on the following problem: ===== Q. Using Gauss' law, obtain expressions for the electric field and potential in the space between two thin, hollow, concentric conducting cylinders, of radii a and b, with the outer cylinder connected to earth ===== I...

Here is the problem: First Part (already done): Find the volume of the solid that is bounded above by the cylinder z = 4 - x^2, on the sides by the cylinder x^2 + y^2 = 4, and below by the xy-plane. Answer: \int_{-2}^{2}\int_{-\sqrt{4 - x^2}}^{\sqrt{4 - x^2}}\int_{0}^{4 -...

Here is the problem: Find the volume of the solid that is bounded above by the cylinder z = 4 - x^2, on the sides by the cylinder x^2 + y^2 = 4, and below by the xy-plane. Here is what I have: \int_{-2}^{2}\int_{-\sqrt{4 - x^2}}^{\sqrt{4 - x^2}}\int_{0}^{4 - x^2}\;dz\;dy\;dx\;=\;12\pi...

Why is there no electric field inside a hollow cylinder? :confused: :confused: :confused: Thanks.

2 long charged concentric cylinders have radii of 3.22cm and 6.18cm. Surface charge densit of the inner cylinder is 2.41 micro C / m^2 and outer cylinger is -18.0microC/ m^2. Find electric field at r = 4.10cm (r is the radius as taken from the central axid of these two concetric cylinders) i...

OK, so we have a coaxial cable that consists of a solid cylinder at the core and two concentric cylindrical shells. All the components are conductors. The outer surface of the outer cylinder is grounded and the inner solid cylinder has a linear charge density of lambda. Disregarding the...

I am trying to solve a problem concering roll coating. This is 2 rotating cylinders whith different speeds. The two cylinders are in the same horizontal plane. They don't touch each other, but are close together. On one cylinder there is a fluid. When the fluid goes through the gap, the point...

I've made this pressure shooter for school, but I can't quite figure out this kink. If the cylinder has a volume of 4,994.57 cubic centimeters, and I plan on filling it with 100 psi of air (I want to maximize the pressure) how much air am I going to need? I could just flow it in, but I need to...

Hi, I was just about to finish the chapter on gravity and gravitation in my physics book when I came across (in another physics book) an example problem that showed a motorcycle stuntman riding on the inside walls of a right verticle cylinder. I wondered how it was possible for him to to around...