Cylinder Definition and 1000 Threads

Homework Statement A breathing apparatus cylinder has a pressure of 204 bars and a water volume of 8 litres. Calculate the maximum amount of air in this cylinder at this pressure? Homework Equations The Attempt at a Solution 204 bar x 8 litres = 1632 litres?

Homework Statement A small ball of radius r performes small oscillations within a hollow cylinder of radius R. What would be the angular frequency of the oscillations given that the rolling is without slipping? The angle between the radius connecting the center of the hollow cylinder to the...

Homework Statement Part(a): State condition for laplace's to work. Find potential in space between electrodes. Part (b): Find potential inside cylinder and outside. Part (c): How would the answer change is one pair is kept at potential 0 while other V0? Homework Equations The Attempt at a...

Homework Statement A vertical cylinder with diameter 9 cm has an outlet on its side with diameter 3cm, water is filled to height 50cm and the outlet is 5 cm above the bottom of the cylinder. the outlet is closed by a valve, calculate the force required to stop the cylinder from moving when the...

Hi guys. The following question is related to exercise 3.7 from Rindler's SR/GR text: http://postimg.org/image/8gdx0j3gd/ Consider first the following scenario: a Born rigid rod is parallel to the ##x'## axis of a frame ##S'## and accelerating uniformly with proper acceleration ##a## along the...

I am computing the \hat{I} - moment of inertia tensor - of a cylinder with height 2h and radius R, about its axis of symmetry at the point of its centre of mass. I am working in cartesian coordinaes and am not sure where I am going wrong. (I can see the cylindirical coordiates would be the...

Homework Statement Consider an infinitely long solid metallic cylinder having axis along kˆ.Consider a plane passing through axis of cylinder cutting it in two equal parts. In one part is a uniformly distributed current I1kˆ and in another part is a uniformly distributed current −I2kˆ. As...

Homework Statement A uniform cylinder of radius R and mass 8kg has an off-axis hole drilled through it at 2R/5. Its new mass is 6.5kg. The hole and cylinder are parallel with their centers being the same height. What horizontal force, F, must be applied on the top to keep the cylinder at rest...

Homework Statement a light string is wrapped around a solid cylinder and a 300 g mass hangs from the free end of the string. When released, the max falls a distance 54 cm in 3.0s. b) calculate tension in string c) calculate mass of cylinder Homework Equations F=ma I=1/2(mr^2)...

Homework Statement I'm not even attempting the graph yet, but I'm having trouble figuring out how to do this problem for a finite cylinder. All I've found in my notes is finite spheres and infinite cylinders. Homework Equations E=∫[ρdv]/4∏εR2] \hat{R} The Attempt at a Solution...

Homework Statement A light rigid cylinder of radius 2a is able to rotate freely about its axis, which is horizontal. A particle of mass m is fixed to the cylinder at a distance a from the axis and is initially at rest at its lowest point. A light string is wound on the cylinder, and a steady...

Homework Statement Homework Equations The Attempt at a Solution Here are my attempt. The top is when i tried using cylindrical coordinates. Instead of using dA=(cosθ i +sinθj)rdzdθ I used (cosθ i +sinθk)rdydθ since the cylinder is going along the y-axis rather than z. The...

Angular Velocity After Bullet Hits Cylinder Homework Statement A 11.0g bullet is fired at 378.1m/s into a solid disk of mass 19.1kg and a radius 0.250m. The disk is initially at rest and is mounted on fixed vertical axis that runs through it's center of mass. The line of motion of the...

Homework Statement Calculate the moment of inertia of a uniform, solid cylinder about it's perpendicular axes. The cylinder has length L, radius R, and total mass M. It is centered on the origin with the z-axis running through the center of it's circular faces. Homework Equations I =...

Hi everyone, If I have a static cylinder on an inclined rough plane at an angle alpha supported by a chord under tension, which leaves the surface of the cylinder at a tangent upwards and parallel to the plane. Does the weight component trying to pull it downwards equal the sum of the friction...

Homework Statement Find an expression for the magnetic field of a hollow finite solenoid carrying uniform current with n turns (there is no top or bottom surfaces and the turns a very closely winded) at a point arbitrary P both inside and outside. Let's just say windings around a hollow pvc...

Homework Statement A leaky cylinder, at 0oC contains gas with a pressure of 18.0 atmospheres. After being kept at 20oC for 24 hours, the pressure is now 16.3 atmospheres and the masss has fallen by 1.2kg. What was the gas' original mass? Homework Equations The Attempt at a...

Hi all, First post here and I hope that somebody can help. I'm using Simulink/Simscape to model discharge of gas from a constant volume, pneumatic, pressurised cylinder. No heat exchange with surroundings yet. I have got the equations matching the stock models from AMESim and Simscape for...

Homework Statement A cylinder with moment of inertia I, mass M, and radius r is being pulled by a string with a tension T. What is the acceleration of the cylinder? What is the force of friction? Homework Equations Fnet = M*a = T - f Torque = I*(a/r) = f*r The Attempt at a...

Homework Statement The height of the slope shown in the figure is 30 cm, and its base is 40 cm. A solid cylinder of uniform density, which has the same mass as the slope, rolls down along the slope without slipping. What is the least value of the coefficient of friction between the inclined...

Homework Statement Consider two rigid cylinders, P and Q, with respective volumes VP and VQ with VP << VQ. They are connected by a capillary. Initially cylinder Q is empty and cylinder P contains an ideal monatomic gas at 300K and pressure 1 bar. A moveable piston in P is used to maintain the...

Homework Statement Given below is a cylinder with piston with same area at both the ends. The cylinder holds pure water in it. If force F is applied from both the ends, find the change in pressure at point B.Ignore Atmospheric Pressure 2. Diagram The Attempt at a Solution...

Homework Statement A cylinder is closed at both ends and has thermally insulating walls. It is divided into 2 parts (left and right) by a movable, frictionless, thermally insulating piston. There is a heating coil in the left compartment, and there are N molecules of an ideal gas, with heat...

Homework Statement I have a cylinder laid on it's side, a.k.a. a storage tank. I need to track the volume of liquid stored in said tank. I have a 'tank chart' that shows the volume of liquid in the tank for a specific 'depth' measurement. I think the measurements of the tank are wrong (and...

Homework Statement The horizontal bottom of a wide vessel with an ideal fluid has a round orifice of radius ##R_1## over which a round closed cylinder is mounted, whose radius ##R_2>R_1##. The clearance between the cylinder and the bottom of vessel is very small, the fluid density is ##\rho##...

Homework Statement A cubical block of side L rests on a fixed cylindrical drum of radius R. Find the largest value of L for which the block is stable. Homework Equations The Attempt at a Solution There is only one contact point between the cube and cylinder. There are three forces...

Homework Statement Integrate ##f(x,y,z) = z## over the region bounded by ##z = 0##, ##x^2 + 4y^2 = 4##, and ##z = x + 2##, Homework Equations None. The Attempt at a Solution I sketched the region in question, but my drawing is so terrible that I'm afraid it'll be little help to anybody who...

I'm a mechanical engineer and I am more specialized in structural calculations than dynamic calculations and now I'm faced with a basic dynamic problem and would need some help. I have a solid cylinder (shaft) that I want to rotate around its axis. The cylinder is supported by two bearings at...

1. Homework Statement : Cylinder of mass m, radius r is rolling without slipping with angular velocity ω and Vcm is ωr. Cylinder comes across a step of height R /4. The angular velocity just after the collision is... Assuming cylinder remains in contact and no slipping occurs on the edge of the...

Here is the question: I have posted a link there to this topic so the OP can see my work.

Hi all, i was pottering away at work yesterday and realized just how little i truly understand about vacuum! So i have a question, i have a piston in a cylinder, the piston is fully in the cylinder so there is very little air space and the cylinder port is blocked off, the piston has an area of...

Homework Statement a hollow cylindrical copper pipe is 1.5m long and has an outside diameter of 35cm and an inside diameter of 2.5 cm how much does it weight? Homework Equations ρ = M/V = 8.9E3 w = Mg The Attempt at a Solution okay, so I know that I can just solve for M because...

1. Problem statement. 2. Known equations Amperes law, biot-savart law 3. Attempt. Just taking steps 1 at a time, I first drew a diagram then I found Jo in terms of I and R, and since it is a non uniform current I know that to find the current I use J = I / A substitute A for 2(pi)rdr, and...

Homework Statement Consider a right circular cylinder with radius R and height L oriented along the z-axis. The center of the cylinder coincides with the origin. Inside the cylinder the volume charge density is given by \rho(z)=\rho_0+\beta z. Find the electric field at the origin (in terms...

Homework Statement There is a wire (current I = 1.05 A) that splits into two channels; of resistance R2 = 6.60 and R1 = 1.25 , and re-joins, forming a current in the shape of an isosceles triangle with base distance d = 6.90 cm and height L = 14.0 cm. The loop is entered into the space between...

Homework Statement We have an infinitely long half-cylindrical shell of radius r and charge density σ as shown below I am supposed to find the electric field at a point on the cylindrical axis, as seen in the diagram. Consider a coordinate system where the cylinder extends infinitely along...

Hi all, I need to model an hydraulic cylinder with simulink and to control it according to some rules. What I don't understand is to find a relationship between the flow rate and pressure inside it. Any suggestion is appreciated. Thanks

Homework Statement What is the electric field at a point on the central axis of a solid, uniformly charged cylinder of radis R and length h? Homework Equations Well, I've set up the triple integral and have gotten to this point...

Homework Statement https://fbcdn-sphotos-g-a.akamaihd.net/hphotos-ak-prn2/p526x296/960031_10201604348407190_1235705166_n.jpg The Attempt at a Solution Hey! Well, I don't really know where to start, even.. Heck, I think the problem is formulated pretty badly (with width, I assume they mean...

Hello, I have an exam Tuesday and I'm solving the problems of previous years : Homework Statement Consider a disk of radius a and length h of permanent magnetization M = Moz parallel to h. a/ what are the units of Mo ? b/Find the magnetic current density Jb inside the cylinder and the...

An offset press cylinder has a $13.37\text {in}$ diameter. The linear speed is $\displaystyle\frac{16.53 \text{ ft}}{\text{sec}}$ What is the angular velocity $(\omega)$ in $\displaystyle\frac{\text{rev}}{\text {hr}}$ from $v=r\omega$ then $\displaystyle\frac{16.53\text{ ft}}{\text{sec}}...

Homework Statement A cylindrical capacitor of length L consists of a solid conducting core with a radius R and an outer outer hollow conducting tube with an inner radius 3R. A voltage V_{ab} is applied between the two cylinders. Assume L >> R which means we can neglect edge effects. Given [L...

Calculate the velocity and pressure distributions in a laminar steady incompressible flow of a Newtonian liquid caused by rotation, with a constant angular velocity w(omega), of a vertical cylinder of radius R in a large bodyof liquid subjected to gravitational acceleration

what is difference between uniformly charged non conducting cylinder and conducting cylinder with respect to their charge distribution and conductivity?

Suppose a cylinder is resting on a horizontal platform on plane x-y with its axis parallel to the y axis, and the platform accelerates in the x direction. Assume that the axis remains parallel to the y-axis and the surface is rough. What is the motion (acceleration:linear as well as rotational)...

Homework Statement An insulating solid cylinder of radius R, length L carries a uniformly distributed electric charge with density \rho . Chose the z-axis along the axis of the cylinder, z=0 in the middle of the cylinder. the cylinder can be boken down into curcular tabs (disks) of thickness...

Homework Statement A closed cylinder consists of two circular end caps and a curved side. A negatively charged particle is placed outside the left end of the cylinder, on its axis. Compare the flux through the left end of the cylinder with that through the right. 2. The attempt at a...

Hello all, I have a theoretical question. This is the formula for an elliptic cylinder (right?) \[\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1\] I understand that the point (a,b) represent the center of the basic ellipse of the cylinder. What in the formula represent the radius of the basic...

I'm trying to calculate the electric field due to a hollow cylinder. The cylinder is "semi infinite" with one end at x=0 and the other at - infinity, and radius R. I'm trying to calculate the field at a point x along the axis (not above the end of the cylinder). The cylinder has charge density...

Lately, I have conducted an experiment where I dragged various circular cylinders through water in order to find the resistance, and hopefully also the drag coefficient. It seems to me that this coefficient is dependent on what is called the Reynolds number. Using some sources, I can easily find...