Cylinder Definition and 1000 Threads

Homework Statement A cylinder weighing 30lbs is initially at rest on a horizontal surface. There is a spring attached directly below the center, 2ft away from the center point o, pulling to the right horizontally. There is a string attached to the center and to a mass (around a pulley...

What is the relation between the pressure that is exerted on the internal walls of a cylinder and the characteristics of a flow of water running inside it? Let's assume that the flow velocity is constant and that we have an inviscid flow of pipe flow type. Furthermore let's assume that the...

In the figure below we have 2 hollow cylinder conductors. The red conductor has radius R1 and negative charge (Q1). We then introduce the blue conductor (radius R2), first connected to the Earth by a conductor thread. Then we disconnect the thread making the blue conductor charge be positive...

Homework Statement A hollow metal cylinder has inner radius a, outer radius b, length L, and conductivity sigma. The current I is radially outward from the inner surface to the outer surface. Find an expression for the electric field strength inside the metal as a function of the radius r...

Homework Statement Rotating with angular velocity ##ω_0## solid homogeneous cylinder of radius ##r## placed without starting forward speed at the bottom of the inclined plane, forming an angle ##\alpha## with the horizontal plane, and starts to roll in up. Determine the time during which the...

Homework Statement Massless and inextensible string is wrapped around the periphery of a homogeneous cylinder of radius R = 0.5 m and mass m = 2 kg. The string is pulled straight away from the upper part of the periphery of the cylinder, without relative slipping. The cylinder moves on a...

A question I was doing asked to find the equation describing the surface of water placed in a cylinder rotating about its central axis. The question asserts that in the rotating frame, the water is at rest, and centrifugal force and the gravitational force of a volume element are perpendicular...

Hi there. I have just been doing some reading on manifolds, and I'm finding some of it hard to grasp. An example we were given was of the infinite cylinder and how to construct its map, and that it would be with one chart. the reading initially says that we can use θ \in (0,2pi] and z \in...

Hi everyone, I have an exercise and i don't understand something in the solution: A cylinder of diameter d floats with l of its length submerged. The total height is L. Assume no damping. At time t = 0 the cylinder is pushed down a distance B and released. What is the frequency of...

Hello! How do I calculate the maximum possible rotational speed of a thin walled hollow cylinder? In other words, at what rotational speed will it explode due to centripetal force? This picture shows the plane of rotation...

A smooth circular cylinder of radius b is fixed parallel to a smooth vertical wall with its axis horizontal at distance c from the wall. A smooth uniform heavy rod of length 2a rests on the cylinder with one end on the wall in a vertical plane perpendicular to the wall. Show that its inclination...

Homework Statement Hey! We have a copper pipe, which has a outer diameter y = 4.1 mm and inner diameter x = 4.0 mm Length of the pipe is L = 120m and resistivity of copper is ρ = 1.7 * 10^{-8}\Omega Homework Equations Resistance is R = ρ * \frac{L}{A} The Attempt at a...

Hey, I'm trying to come up with a question, be it a simple one, where a mass of ideal gas (Oxygen) is bound in a cylindrical tube and has a circular piston applied to it - so that the gas becomes pressurised. Once the gas has been pressurised it will gain a certain temperature, which is the...

I can't seem to make a cylinder that is circular on the yz axis and runs length wise down the x. Evgeny.Makarov do you know how to accomplish this? I tried using \filldraw with the arc command to round and shade the circular sides but it wasn't going so well.

Homework Statement Each of the two systems is released from rest. Calculate the speed v of each 47-lb cylinder after the 38-lb cylinder has dropped 5.2 ft. The 17-lb cylinder of case (a) is replaced by a 17-lb force in case (b). I have attached an image of the question. Homework...

In the spinning cylinder room example mentioned in relativity, where the nearest distance between 2 point is actually curved line.. and light take a straight pass right, which is farer than the curved line due to time dilation in the middle of the room due to a smaller acceleration than side of...

Homework Statement Given a cylinder in the Ox1x2x3 coordinate system, such that x1 is in the Length direction and x2 and x3 are in the radial directions. The stress components are given by the tensor $$ [T_{ij}] = \begin{bmatrix}Ax_2 + Bx_3 & Cx_3 & -Cx_2 \\ Cx_3 & 0 & 0 \\ -C_2 & 0 &...

Hello I want to design a pneumatic cylinder for race car lifting. The cylinder should work in such a way that it can lift the car 4 inch from the ground in 0.5 sec. And the max pressure is 250 psi. Can anybody please help me out of this. What are the factors that I have to take into...

Homework Statement See figure attached. Homework Equations The Attempt at a Solution Originally I have solved this problem using Gauss's law by defining a gaussian surface in the form of a cylinder around the floating cylinder to get the electric field distribution underneath...

Hello everyone, I am quite struggling with a question that I received on a problem sheet. I have looked information regarding to this but I still have a hard time visualizing this and sketching it. Homework Statement In the question I am asked to describe using a sketch how flow separation...

Homework Statement Homework Equations The Attempt at a Solution I'm not sure if I am doing part a,b,e, and f correctly

Homework Statement The length and radius of a perfect cylinder are measured with an RMS error of 1%. The RMS error of the inferred volume of the cylinder is.. ?Homework Equations V=∏r2h Hence dV/V=2dr/r+dh/h The Attempt at a Solution I took dr/r and dh/h as 1%. So got the final answer as...

Homework Statement A massless rope is wrapped several times around a solid cylinder of radius 20cm and mass 20kg, which is at rest on a horizontal surface. Someone pulls 1m of the rope with a constant force of 100N, setting the cylinder in motion. Assuming the rope neither stretches nor slips...

Homework Statement A cylinder of cross-sectional area A is divided into two chambers 1 and 2, by means of a frictionless piston. The piston as well as the walls of the chambers are heat-insulating, and the chambers initially have equal length L. Both chambers are filled with 1 mol of helium...

Hi, I have run into a problem and can't find an answer. I am trying to estimate the heat transfer coefficient for water INSIDE a vertical cylinder exposed to uneven heating. The cylinder is 1m high with a diameter of 0.035m. D/L is then 0.035. I have calculated the Grashof number 417200 and...

Homework Statement Figure 24-32 shows a section of a long, thin-walled metal tube of radius R, carrying a charge per unit length  on its surface. Derive expressions for E in terms of distance R from the tube axis, considering both (a) r > R and (b) r < R. Plot your results for the r = 0 to...

In table of integrals, series and products 7ed. by Gradshtyn and Ryzhik, in page 1028, there is an expression: D_p(z)=\int_{-\infty}^{\infty}x^p e^{-2x^2+2i xz}dx,~~(Re~ p>-1; ~for~ x<0, ~arg x^p=p\pi i) what is the meaning of for~ x<0, ~arg x^p=p\pi i)

Homework Statement A very long, solid insulating cylinder with radius "R" has a cylindrical hole with radius "a" bored along its entire length. The solid material of the cylinder has a uniform volume charge density "ρ". In this problem, you will find the magnitude and the direction of the...

[b]1. A force F causes a particle of mass m to move on the surface of an open cylinder of radius R = √x^2+y^2+z^2 (a) Write out the equations of motion of the particle in suitable coordinates. (b) Construct a force F that causes the particle to perform simple harmonic motion on the...

So recently I became more interested in CAD and i found myself drafting designs for spring airguns cylinders ect. All of-course meaningless given that I have zero understanding of the math behind the design. I am no Mechanical engineer, I am a business student so if I am getting into advanced...

Homework Statement Hi there. Im trying to find the moment of inertia for a 2/3 empty cylinder, could anyone see if I solved this correctly? Someone told me it's wrong, but I don't know why exactly, so any thoughts would be much appreciated. (I added the question and the attempt to solve it in...

Hello, this is not really a homework question, but a question on a specific problem so I thought it belonged here rather than the General Physics subforum. This is a problem that was asked in our final exam, and I have doubts about it's "correct" solution. Here's a paint art to explain the...

Hi, Homework Statement I am trying to compute the volume bounded by the sphere x2+y2+z2 = 4 and outside the cylinder x2+y2=2x. Homework Equations The Attempt at a Solution The cylinder's equation is obviously (x-1)2+y2=1, but I am not sure how to formulate the integration for the...

Homework Statement A hollow circular cylinder of radius a and length b, with open ends, has a total charge Q uniformly distributed over its surface. What is the difference in potential between a point on the axis at one end and the midpoint of the axis?Homework Equations U = kq/r The Attempt...

1 - If the pressure inside cylinder raised to 500 Kpa when the water would start boiling ? and if some of the water heated from 0 degree to the atmospheric pressure when the water start boiling ? my answer A ) when it reach temperature of 150 degree b ) when it reach temperature...

A massless string is wrapped around a 10 kg cylinder. the picture will look like the letter b. you pull upward on the string with a force of P = 49N. The bottom of the cylinder s on horizontal table and will roll w/o slipping. using dynamics involving center of mass, find the magnitude and...

Suppose I have a cylinder on a fulcrum that is filled half way with a fluid, how would I model the waves in the cylinder if it were put in motion?

Homework Statement A light string is wrapped around a solid cylinder and a 300 g mass hangs from the free end of the string, as shown. When released, the mass falls a distance 54 cm in 3.0 s. Calculate the mass of the cylinder? Homework Equations not sure The Attempt at a...

Homework Statement See the attachment Q5Homework Equations The Attempt at a Solution Let's begin with part (a) first. After finishing this homework (see the second attachment), I suddenly noticed 1 thing. The friction will gradually decrease to zero and then change the direction to become same...

Can someone shed some light on the following problem? I'm unable to get any traction on it as I know nothing about fluid dynamics (I'm a computer engineer). It's a problem I made up over a lunch discussion with a friend. I've illustrated it as folows:

Homework Statement Here is the problem with my 3 attempts: 1. Alright, so the first attempt, I did not take into account the rotation of the cylinder ωc so I think it is wrong. But it seems to make sense because the whole cylinder rotates about O, so if I find that energy using parallel...

Homework Statement I'm unable to solve a problem of heat equation in a cylinder in steady state. The problem is a cylinder of radius a and a height L. The boundary condition are ##T(\rho , \theta , 0)=\alpha \sin \theta##, ##T(\rho, \theta , L)=0## and ##\frac{\partial T}{\partial \rho} (a...

Homework Statement A cylinder of cross-sectional A is filled with N ideal gas molecules at temperature T and pressure p, and a piston of mass m seals the gas in the cylinder with a frictionless seal, as shown on the figure attached. The trapped column of gas has an initial height h. The piston...

Im thinking of designing a tipping trailer for a car. I need a force of 40KN exerted to tip but would this be too much for driving with an electric motor powered by the car battery. If not what size of motor and pump would I need? thanks

Homework Statement An open-end cylinder with inner and outer diameters of 2a=30 and 2b= 60 mm, respectively, is subjected to a uniform temperatures change from 25 oC to 45 oC. Assuming the cylinder is rest on a table and free to move, determine the stress and the final dimensions (i.e. length...

Homework Statement panofsky 10.3 Find the torque on a solid conducting cylinder rotating slowly in a uniform magnetic field perpendicular to the axis of the cylinder. The Attempt at a Solution let the radius of cylinder r, and the conductivity is σ, the rotating angular...

can anyone help me with any of these answers 3. Given a sphere with diameter 12 cm, find the surface area of the smallest cylinder containing the sphere. 4. A rectangular box has sides of length 4 cm, 10 cm and 12 cm. What are the lengths of each of the four diagonals of the box? 5. A...

Homework Statement Hello, I have an experimental problem that I don´t know how to express theoretically. It consists on a tip at high voltage inside an earthed cylinder, where a discharge is produced. The discharge is radial, since is the shortest distance to the wall, and produces ions, which...

Homework Statement Let S denote the closed cylinder with bottom given by z=0, top given by z=4, and lateral surface given by the equation x^2 + y^2 = 9. Orient S with outward normals. Determine the indicated scalar and vector surface integral to ∫∫ x^2 i dS (I have tried to solve this...

Homework Statement Consider a solid homogeneous object taller than its wide, with the top and bottom parallel. Prove that the shape with the lowest moment of inertia about an axis through the object is a cylinder with the axis through its axis of symmetry. density, mass, and height are...