Cylinders Definition and 254 Threads

Homework Statement Two long, cylindrical conductors of radii a_1 and a_2 are parallel and separated by a distance d, which is large compared with either radius. Show that the capacitance per unit length is given approximately by C=\pi\epsilon_0 \left(\ln\frac{d}{a}\right)^{-1} where a...

A board lies on top of 2 uniform cylinders that lie on a fixed plane inclined at an angle theta. The board has mass m and each of the cylinders has mass m/2. The system is released from rest. If there is no sipping between any of the surfaces, what is the acceleration of the board. Solve using...

Homework Statement http://img143.imageshack.us/img143/589/showmepl.gif The above figure shows a large, uniform brick supported on two cylinders L and R so that it is exactly horizontal. The areas of the two cylinders are related such that AL = 2.1AR. The Young's moduli of the two cylinders...

Homework Statement My niece has to write a paragraph on circles and cylinders. This is the exact question: "How are circles and cylinders related? Write a paragraph to explain what you learned about circles and cylinders." Homework Equations The Attempt at a Solution I am...

Homework Statement Two cylindrs of different sizes, 10 litre and 4 litre, are connected by a thin tube of negligible volume. The cylinders contain a gas at a tpressure of two atmoshheres when at 25 deg celsius. If the small cylinder is immersed in an ice bath at 0 deg celsius and the larger...

Homework Statement Two circular cylinders of radius a intersect so that their axes meet at right angles. Use a line integral to find the area of the part from one cut off by the other. Homework Equations line integral formula The Attempt at a Solution I'm lost as to where to set...

Homework Statement Two infinitely long identical conductors carry equal current densities J in opposite directions parallel to the z-axis. They each have radius b and overlap so their centers are distance 2a apart. In the overlap a distance a from the center we have 0 current density (a hollow...

Homework Statement Why there won't be any friction?

Homework Statement The Attempt at a Solution The book did it like taking impulse of forces f and writing eqn Impulse = Δ(Angular momentum) or J = ΔL How i tried: let the 2 cylinders meet at A [SIZE="1"](they have not mentioned the velocity of approach but as it says that...

Homework Statement A very long solid nonconducting cylinger of radius R1 is uniformly charged with a charge density of volume charge densty pE. It is surrounded by a concentric cylinder tube of inner radius R2 and outer radius R3. Determine the electric field as a function of the distance R...

Moved to introductory physics

Homework Statement A cylinder of radius R and mass m is suspended using stainless steel wires attached to fixed supports, so that it can rotate about its axis. When the cylinder is rotated by an angle a the wires exert a torque which tends to bring it back to the equilibrium position at a...

Homework Statement A long string is wrapped around a 6.3-cm-diameter cylinder, initially at rest, that is free to rotate on an axle. The string is then pulled with a constant acceleration of 2.0 m/s2 until 1.5 m of string has been unwound. If the string unwinds without slipping, what is the...

Homework Statement show that the E outside an infinitely long rod of radius R with a uniform charge density p is E = pR^2/2r(e_0) Homework Equations gauss' law EA=q/e_0 The Attempt at a Solution I know how to solve this and get the correct answer but I don't totally understand it...

Hi guys I have a question I need answered. I have a small machine shop and I need to build a press that will apply 600 tons of force to an object. Can I have one 300 ton cylinder on each end of the object? Or is this tonnage not additive.

Homework Statement You have a figure that is combined with three figures. Two solid cylinders and one rectangle in the middle. Like this: O[]O The two cylinders is rotating and are not sliding, so the whole figure moves to the right. The rectangle is connected with the two cylinders. Both...

Hi there, My thermodynamics textbook shows the critical pressure of Air to be 37.7 bar. Why is it, then, that pneumatic cylinders are pressurized to pressures like 300 bar? If the air is already a liquid and liquid is near incompressible, what is the point of pressurizing it so much if you...

Homework Statement 2 identical cylinders of mass m, radius R and moment of inertia I=kmR2are connected with a rope wound around both, according to the drawing. One is falling. What is the angular acceleration of the upper one? A hint was given: the acceleration of the lower one is twice the...

Homework Statement I was just websearching and came across this interesting demonstration. http://demonstrations.wolfram.com/AMassiveBarOscillatingBetweenTwoIdenticalRotatingSupportRoll/ Homework Equations I wanted to define the normal forces N1 and N2 based on their position x(t) from...

Homework Statement In how many ways can 3 balls of different colours be put in 4 glass cylinders of equal width such that any glass cylinder may have either 0,1,2 or 3 balls? The Attempt at a Solution Using the formula for no. of ways for distribution of n distinct things into r...

Homework Statement The object of this assignment is to find two engines that have the same displacement and different number of cylinders and compare ratio of their power output to a few equations' results. The engines should be from the same manufacturer and their manufacturing date should...

i hope someone can help i have a question. i two hdyraulic cylinders. cyl #1 must extend then retract when cyl 1 is retracted, cyl2 must extend then retract but i can only use dcv how can this be done what type dcv must i useand if possible a drawing would be great. thank you in advance...

http://img713.imageshack.us/img713/183/334a.jpg I seem to be having trouble figuring out exactly what forces are going on in this scenario. I know that if the cylinders are to remain in contact, they all have to be accelerating at the same rate, which means the same net horizontal force must...

Homework Statement An infinitely long, non-conducting cylinder of radius R carries a uniform volume charge density ρ. Find the magnitude of the electric field for 0 < r < R Homework Equations EA=Qin/εo The Attempt at a Solution I am debating whether the answer should be ρr^2/2εoR...

I was looking for a paper or textbook that would provide "working equations" for Tipler Cylinders. In other words, is there an equation(s) that would provide the light cone tilt angle as a function of the cylinder's diameter, height, density, and angular velocity?

Homework Statement Hello, let me dish out the particulars straight away: "A large(and infinite) cylinder of the radius a, is fed a Current I through its surface; the same current, but traveling in the opposite direction exits the body through a smaller cylinder located within the greater one...

Homework Statement Calculate the volume of the space enclosed by three cylinders x2+y2=1, x2+z2=1, and y2+z2=1. Homework Equations Triple Integral. The Attempt at a Solution change to polar coordinates

Homework Statement Find the volume of the region which is bounded by the parabolic cylinders y=x², x=y² and z=x+y and z=0 Homework Equations The Attempt at a Solution I solved x=y² for y, and set that equal to y=x², and I got the intersection of the two parabolic cylinders to...

find ω given centripetal acceleration Homework Statement It has been suggested that rotating cylinders about 9.0 mi long and 6.4 mi in diameter be placed in space and used as colonies. What angular speed must such a cylinder have so that the centripetal acceleration at its surface equals the...

Homework Statement Given the steel C1040. What do you mean by C, 10, and 40 in that steel? What is the common type of steel used in manufacturing LPG cylinder?

Homework Statement 1. Find the volume bounded by the cylinder y^2 + z^2 = 4 and the planes x=2y, x=0, z=0 in the first octant. 2. Find the volume bounded by the cylinders x^2 + y^2 = r^2 and y^2 + z^2 = r^2 Homework Equations The Attempt at a Solution Both questions are from the section...

Homework Statement Two long thin concentric perfectly conducting cylindrical shells of radii a and b (a<b) are connected together at one end by a resistor of resistance R, and at the other by a battery that establishes a potential difference V. Thus, a current I=V/R flows in opposite...

[b]1. Charge of uniform density 76nC/m^3 is distributed throughout a hollow cylindrical region formed by two coaxial cylindrical surfaces of radii 1.5 mm and 3.7 mm. Determine the magnitude of the electric field at a point which is 2.6 mm from the symmetry axis. I tried...

Homework Statement problem attached Homework Equations attached but lame equations i think they are? The Attempt at a Solution attached Hey this is an assignment question that i have wasted countless hours on trying to solve without success. The problem is WBVMMECH025 from the...

Hey. I have a couple of questions about Poisson's ratio I hope you guys can answer. If I have a cylinder made of, let's say steel. Steel has a Poisson's ratio of roughly 0.33. The cylinder is restrained in the vertical direction so no displacement can occur. If I apply an internal pressure...

Homework Statement Bounded by the cylinders x2 + y2 = r2 and y2 + z2 = r2 We're supposed to stick to double integrals as triple integrals are taught in a later section. The Attempt at a Solution Edit: Alright, I think I go to the right answer. x = sqrt(r2 - y2) z = sqrt(r[SUP2[/SUP] - y2)...

Homework Statement I have two coaxial infinite cylinders and I must find their capacitance, where r_{1} < r_{2} Homework Equations The Attempt at a Solution I got an answer (for finite cylinders) that is inversely proportional to Ln (r_{1}/r_{2}). Assuming this answer is correct (if someone...

Homework Statement The figure below shows a portion of an infinitely long, concentric cable in cross section. The inner conductor has a linear charge density of λ = 6.10 nC/m and the outer conductor has no net charge. http://www.webassign.net/tipler/23-36alt.gif (a) Find the electric field...

hi my question is fully attached as an image. for cylinders with the same mass i know how to sort them. the smaller the i the faster it will go. but what happens if i have combination of change of i and m. i guess i will need a less intuitive approach. can some one tell me how to do this...

I understand why a heavy item and a light item both fall a given distance in the same time - in a vacuum, etc. What happens in the case of a cylinder rolling down an inclined plane with no slippage? Would a heavy cylinder reach the bottom at the same time as would a light cylinder? What if...

Hi guys, I found some experimental data on a website the other day and i have been trying to do some calculations. Im getting suck up on the rearrangement(never been my strong point) and its driving me bonkers! Any help at all would be appricated. need to have er as the subject...

I want to know how Surface areas enclosed by Cylinders , Cones..etc can be calculated using calculus integration...

Ok as you seen I been trying to get familiar with a few different type of exercises, this is a FBD type exercise. I attached the picture showing the exercise done, I just want you to check if you notice any errors, thanks you. Homework Statement Cylinder A- Mass 75kg and...

I need to make two close fitting cylinders that are longitudinally locked in position but need to rotate against each other. I want to make this in as few parts as possible. I was thinking of machining grooves in each cylinder and placing the Teflon ring in the groove of the inner cylinder...

Homework Statement A thick cylinder of 100mm internal radius and 150mm external radius is subjected to an internal pressure of 60MN/m^2 and an external pressure of 30MN/m^2. Determine the hoop and radial stresses at the inside and outside of the cylinder together with the longitudinal stress...

Homework Statement 2 long cylinders with radius a and b (a<b) have a charge density by unit of length worth - \lambda and \lambda respectively. Use Gauss's law to find the electric field in every point of the space. Find the potential in all points of the space, assuming that the potential...

hi im trying to do a lab on rotational inertia of a hollow cylinder i plan to roll a hollow cylinder down an incline and see how the inner radius, outer radius, and mass affects the final translational velocity but i am not sure what i can use for the cylinder to sufficiently control and...

"Finger Safe" I'm searching for a precise definition of "Finger Safe" according to IEC 60529 which defines IP2X as "finger safe" for diameters > 12.5mm. Does thes mean a cylinder of > 12.5mm dia. an not touch the contact? Or is there a radius on the end of the cylinder? How long is the...

Does anyone know of a formula for determining the various resonant frequencies of 2 coaxial cylinders with radius a and b and height h? Thanks.

Homework Statement A thin cylindrical shell and a solid cylinder have the same mass and radius. The two are released side by side and roll down, without slipping, from the top of an inclined plane that is 1 m above the ground. The acceleration of gravity is 9.8 m/s2. Find the final linear...