Cylinder Definition and 1000 Threads

I seem to be able to do this problem (at least from what I think, but my answer is still wrong according to the answer key, please do help check.) Since: Gain in GPE = Loss in translational KE + loss in rotational KE ##\left(m\cdot g\cdot...

I'm trying to calculate the static reaction force on cylinder supported by two rollers due to the weight of the cylinder. I found that the reaction force is inversely proportional to the Cosine of the contact angle, but what does it mean? when the contact angle is close to 90 degrees is the...

Homework Statement: Hollow cylinder balancing Homework Equations: F=m·r·(ang_v)^2 T=F·l Hi, I want to know how the hollowness of a cylinder would affect its balancing process. A little introduction: There are 2 different types of balancing: in a single plane (static balance) and in 2 planes...

Hello all and thanks for viewing this, I am in need of some assistance to solve a problem to size an AC motor rotating this load (power transmission will be trough belt & pulley). I have a hollow cylinder (pipe) that needs to spin 25 RPM: - OD = 50 mm - ID = 48 mm - M = 200 kg - Total length...

I have no idea how to approach the problem using Gauss's Law. I found the electric field using superposition, and it was incorrect. I am assuming you treat the wire as a continuous electric field, and then also treat the pipe as a continuous electric field. I solved for this using...

I'll call ##v_2## the flow speed on the horizontal tube and ##v_1## the lowering speed of the column. Even if the lowering speed isn't negligible, the problem says "...when the plug has been removed", so can I consider the height unchanged? In order to find the force, I need the pressure when...

Trying to calculate the force required to deform a cross section of a solid cylinder. To create an image, imagine a cylinder laying on a flat surface, and then a section of it defined as a length of X, being subjected to a compressive load. I'm trying to find the correct formula for this. Any...

This is what I did: I know that ##v_1=\sqrt{2gh_1}## and ##v_2=\sqrt{2gh_2}## thanks to Bernoulli's principle. Using equations of parabolic motion I get ##h-h_1-\frac{1}{2}g(\frac{d}{v_1})^2=0## and ##h-h_1-\frac{1}{2}g(\frac{d}{v_2})^2=0##. This means I have two equations in two unknowns...

I first calculated Magnetic field at a distance x using Ampere's law.Then i took an element and wrote its inductance using L=Flux/Current. Then i integrated from a to b. But i arrived at nothing. Help.

I think I've made sense of this. m: master, s:slave Fm/Am = Fs/As Fs = As(Fm/Am) Fs = (As)ρghm So with that said, if the height of the master cylinder increases then the F produced by the slave will also increase. Anyone see any problems here? My concern is that P = ρgh isn't applicable...

The friction from the rod and the friction from the plane on the cylinder should be the same due to torque equilibrium on the cylinder. If we let N_1 be the normal force on the rod and N_2 be the normal force on the cylinder from the plane, I expected µN_1 = µN_2. Looking at torque on the rod...

Problem Statement: The uniform 4-kg cylinder A, of radius r = 150 mm, has an angular velocity w = 50 rad/s when it is brought into contact with an identical cylinder B which is at rest. The coefficient of kinetic friction at the contact point D is uk. After a period of slipping, the cylinders...

I first took out the variation of conductivity along the radius of cylinder.Also we know that J=sigmaE.Therefore i have to find variation of E also.But how will i find that as potential is also not given.Help.

I'm trying to learn about Abstract Wiener Spaces and Gaussian Measures in a general context. For that I'm reading the paper Abstract Wiener Spaces by Leonard Gross, which seems to be where these things were first presented. Now, I'm having a hard time to grasp the idea/motivation behind the...

Is there a way to determine the best rod length/piston pin position/stroke, to achieve maximum RPM without too much cylinder wall stress? Looking from the crank end as it rotates, it appears as it reaches maximum outboard swing, it causes stress on the cylinder wall as the piston starts up the...

Hi everyone, I heard that there is a regulation\obligation that requires burst valve installation on lifting hydraulic cylinders. My questions are: Is this requirement apply to all lifting appliances or just appliances involve with personel lifting ? Is this requirement apply to forklift...

I'm trying to write up some theory for this experiment I'm carrying out. I'll be changing the radius of the hole at the bottom of the cylinder, and I think the time taken for the cylinder to completely submerge is inversely proportional to the size of the hole. Problem is that I'm stuck at...

I've been deriving ds, velocity and acceleration for an elliptic cylindrical coordinate system. When it comes to ds and velocity, its quite simple and quick. The acceleration however is tedious by my current method and I'm wondering if there is some shortcut or superior method I'm not aware...

https://www.flairespresso.com/product-page/flair-signature made a manual espresso machine and specify using 30 lb of pressure in the manual. In order to determine the correct pressure, they literally tell the user to push down on a kitchen scale. I'm considering a competing product, and that...

So I first wrote the moment of inertia of the cylinder, since it says that it is thin-walled, I think that its moment of inertia is ##I=\eta mR^2##. After that I wrote the sum of torques, I think that there are three forces that cause torque, the two forces of friction, the one caused by the...

I uploaded a diagram of the problem. I treated this as many thin rings and integrated it over the length. I placed my origin as in the same place as the uploaded picture. Finding the electric field due to one small ring: ##\vec r =\langle w-x, 0, 0 \rangle## where ##x## is the distance of the...

Hi All, I'm working on some design and apparently my physics expertise are getting rusty,i'd appreciate some help with the following:- I need to calculate the required torque for a stepper motor to rotate a solid cylinder with the following properties:- radius : 20cm height: 12cm density : the...

The question is to find the magnetic field immediately outside a thin hollow cylinder that carries a uniform steady current I on its surface. This is my solution but what I get contradicts amperes law.

My solution is on the files. The basic approac was the take moments about A. Then find the reaction at C. Use the reaction at C to find the friction between rod and cylinder. I take it to mean from the question that the friction between the rod and plane is equal to the friction between...

I am checking the divergence theorem for the vector field: $$v = 9y\hat{i} + 9xy\hat{j} -6z\hat{k}$$ The region is inside the cylinder ##x^2 + y^2 = 4## and between ##z = 0## and ##z = x^2 + y^2## This is my set up for the integral of the derivative (##\nabla \cdot v##) over the region...

Hey guys, so I am a little stumped on this problem. Can y'all help? I think for a) it is true but am not sure For b) I believe is is false because the angular acceleration would cause the angular speed to increase For c) I think it is true since acceleration is constant so T=ma is constant Does...

Homework Statement [/B] I’ve attached an image of the problem below. I need to use the diveragance theorem to find the flux through a cylinder. Vector field: F(x,y,z) = 4xi Height: 5 Radius: 3 Homework Equations By the DT, flux is equal to the triple integral of the divergence of the...

Homework Statement I have a simple cylindrical pressure vessel with thickness 100m and inner radius 254mm,.the cylnder has flat head closed ends but these are thickness 30mm. I need to calculate the pressure that would cause the vessel to collapse given material properties E=207Gpa, poissons...

Homework Statement Hi. in my problem there is an infinite half cylinder uniformly charged with ρ. What is the force is the cylinder is making on a test charge on a charge located on the position that is shown on the following picture: Homework Equations ∫qdQ/(r2) The Attempt at a Solution Well...

A thin slice is cut out of a glass cylinder along a plane parallel to its axis. The slice is placed on a flat glass plate as shown in the figure. The observed interference fringes from this combination shall be ______. My thoughts The thin slice will act as thin film but of half cylindrical...

Mentor note: moved from non homework thread to here hence no template. Hi, I wanted to calculate a non standard Cylinder. It have a Height (h), with a base radius of (r1) and a top radius (r2). It varies linearly along the height. How can I come up with a formula for that? Since my girlfriend...

Hi everyone, I'm working through the boundary conditions and I could not figure out what to do with the last boundary condition (when z=L) I know that the values for K are: How so? 1. Homework Statement A hollow right angle cylinder of radius a and length l. The sides and bottom are...

Problem : A cylinder of mass ##M## and radius ##R## rotates with an angular velocity ##\omega_1## about an axis passing through its centre of symmetry. Two small masses each of mass ##m## (small in comparison to the radius of the cylinder) are glued to either of the two circular faces of the...

Homework Statement The problem is in attached screenshot. Now,I solved this using force/torque method. However ,I got different solution as given in solution manual. Where I have gone wrong? Homework EquationsThe Attempt at a Solution Applying F=ma to cylinder: $$mg-T=ma$$ Applying ##\tau =...

I am designing a prototype to remove cutting oil from waste metal chip during Gun Drilling. My prototype consists of a netted(meshed) metal cylinder rotating horizontally about its axis with help of shaft and a pressurised air blown from above. The metal chips will be put inside netted cylinder...

Hello, I am trying to find an analytical expression to determine the solid angle subtended by a disk source onto the face of the cylinder. I will appreciate if someone can provide me directions. I am aware how to calculate solid angle by a point source to cylinder's face ( omega =...

Hi there, I've got a Heat Transfer problem that I can't seem to get right. I will list all information in the problem without 'interpreting' it: Givens: 100 cm long cylinder filled with hot water, and constantly heated to maintain the water at 100°C. Heat is transferred via conduction from...

Homework Statement There's a very long cylinder with radius ##R## and magnetic permeability ##\mu##. The cylinder is placed in uniform magnetic field ##B_{0}## pointed perpendicularly to the axis of cylinder. Find magnetic field for ##r < R##. Assume there's a vacuum outside the cylinder...

Homework Statement Find the flow around a cylinder with radius ##a## generated by linear vortex ##\Gamma## in point ##z=b##. Find points of stagnation. Also ##b>a## Homework Equations Complex potential of vortex: $$\omega_{vortex} = \frac{\Gamma}{2\pi i}\ln{z}$$ Milne-Thomson circle theorem...

Homework Statement A solid cylinder rolls down an inclined plane because of stiction. How does angular velocity change over time? Given: ##m,R,g,\alpha,\mu## where ##\mu## is the friction coefficient Homework Equations [/B] ##J_{cm} = 1/2 m*r^2## moment of inertia m = mass of the cylinder...

Homework Statement You buy a bottle of water in the store and place it on the conveyor belt with the longitudinal axis perpendicular to the direction of movement of the belt. Initially, both the belt and the bottle are at rest. We can approach the bottle as one cylinder with radius ##R##, mass...

Homework Statement Homework Equations pV=nRT The Attempt at a Solution I know the volume of the cylinder, which is Al. So I plugged this into the ideal gas law formula, and got answer B. However, the correct answer should be D. I see the Boltzmann's constant there in the equation, and I do...

I know hollow tubes have bigger moments of inertia than solid cylinders, assuming their masses are the same. But which one would swing better if you used it like a sword? I'm thinking that the tube would be harder to get moving but would have more rotational momentum and thus be harder to...

How to find the angular speed, on which a spinning hollow cylindrical body breaks due to inertial stress(force)? I found 2 sources(http://www.roymech.co.uk/Useful_Tables/Cams_Springs/Flywheels.html (last 2 equations) ...

I am working on a flywheel single-cylinder engine powered by a 40 psi air compressor. My task is to achieve as many RPMs as I can. I have already bored two exhaust ports in the frame as shown in the pictures attached. I've done some 600grit sanding on points of contact, am using lubricant prior...

Homework Statement A rectangular board laying on the ground of mass ##M## is pulled with a force ##F## to the right, while a cylinder of mass ##m##, radius ##R## rolls without slipping on the board. Assume there is no friction between the board and the floor. Which way does the cylinder roll...

I am looking into the bending of a thin walled cylinder about it's neutral axis. Should be simple enough, it is just Mr/I. However, that is the maximum stress at the outer fibers of the cylinder and I want to find an approximate expression for the load per unit circumference on a small element...

Homework Statement A rigid cylinder of radius ##R## and mass ##\mu## has a moment of inertia ##I## around an axis going through the center of mass and parallel to the central axis of the cylinder. The cylinder is homogeneous along its central axis, but not in the radial and angular directions...

Homework Statement HERE IS THE QUESTION A vertical cylinder fitted with a heavy leak-proof piston with diameter 84.0 mm contains air (under the piston) of density 1.59 kg/m3 in thermodynamic equilibrium with the surrounding atmosphere, which is at 100 kPa and 39 oC. Determine the mass of the...

Homework Statement "Consider a cylinder with a generator perpendicular to the horizontal plane; the only requirement for a point ##(x,y,z)## to lie on this cylinder is that ##(x,y## lies on a circle: ##x^2+y^2=C^2##. Show that the intersection of a plane with this cylinder can be described by...