Cylinder Definition and 1000 Threads

Hi, I appreciate any help. Thanks in advance! Homework Statement The image shows the top view of the set-up. Basically, it is a cylinder (resting on a horizontal plane) with two rods on either side attached in line with the centre of mass of the cylinder. Two pieces of string are then taped...

Can anyone ratify if my answer is correct for the below. I've attached.

Homework Statement Homework EquationsThe Attempt at a Solution total kinetic energy of a rigid body = rotational kinetic energy of the body around its center of mass + translational kinetic energy of center of mass For solid cylinder, total kinetic energy = ## \frac { [I = \frac 1 2...

Hey everybody! as part of a project i need to solve this problem: i have a small closed (50 mm height, 5 mm radius) tank made of PMMA fiiled mostly by salted water and a bit air. the water get a 200 (C) pulse for a very short time of 20 micro-seconds and start to transform into gas (there is a...

Homework Statement Homework EquationsThe Attempt at a Solution e) I know the temperature is lower in the transparent container but how do you represent this

Homework Statement I am confused on when will pressure of two states be the same for a piston cylinder device. Below are two problems where one's final pressure equals the initial pressure and one is not. Homework EquationsThe Attempt at a Solution Initially, I thought a piston-cylinder...

Homework Statement Let r be a positive constant. Consider the cylinder x2 + y2 ≤ r2, and let C be the part of the cylinder that satisfies 0 ≤ z ≤ y. (1) Consider the cross section of C by the plane x = t (−r ≤ t ≤ r), and express its area in terms of r, t. (2) Calculate the volume of C...

[Mentor note: Thread title changed to describe actual problem being presented] 1. Homework Statement Homework Equations The Attempt at a Solution I understand you have to interpolate temperature and pressure of the saturated vapor from the table, since there is no matched final specific...

A hollow cylinder (2 tons) is dipped in a chemical tank using hoist crane for treatment purpose. Can anyone please help me to show how to calculate the maximum weight of the submerged hollow cylinder when it is being pulled up because I need to choose the correct lifting capacity for the crane...

Check Attached file for questionI am not able to get the equations for motion. Except that when cylinder loses contact, the normal force is zero.Please answer this fast. Need it for a test tomorrow. Thanks a lot!

HOMEWORK POSTED IN WRONG FORUM. WE AWAIT SOME EFFORT ON THE PART OF OP BEFORE CONTINUING. A cylinder C1 of mass M1 and radius R1 is placed on top of another cylinder C2 of mass M2 and radius R2. C2 is kept rigidly fixed (so that it can neither translate nor rotate). C1 starts rolling without...

The isometry group of the anti-de Sitter spacetime is ##SO(d-1,2)##, which has a total of ##\frac{1}{2}d(d+1)## isometries. For the three-dimensional anti-de Sitter spacetime, these are ##6## isometries. These isometries have corresponding Killing vectors, which in global coordinates, are given...

Homework Statement In the attached image. Homework Equations Gradient(x, y, z) * <f, g, h> = <fx, gy, hz> The Attempt at a Solution Because the cylinder's not capped, I know that all the flux will be in the radial direction. So, I can find a normal vector by finding the gradient of the...

Homework Statement A thin electrical heater is inserted between a long circular rod and a concentric tube with inner and outer radii of 20 and 40 mm. The rod (A) has a thermal conductivity of kA = 0.15 W/(m*K), while the tube (B) has a thermal conductivity of kB = 1.5 W/(m*K) and its outer...

Homework Statement A current I flows along the surface of a hollow conducting cylinder. The radius of the cylinder section is r. By using Ampere's law, show that the magnetic field B outside the cylinder is B=\frac{\mu_0}{2 \pi} \frac{I}{r} Homework Equations Ampere's law...

Homework Statement Consider a cyclinder made of linear dielectric material with uniform dipole distribution. An externally applied field ##E_{ext}## is applied in the direction parallel to the axis of the cyclinder. What are the values of the bound chrages at the surface. Homework Equations...

As always a fairly devious problem from Feynman, it's getting the better of me and I imagine some of you may be able to solve! Excuse the poor drawing. He writes 'Consider cylinders radius πcm, he cylinders are chopped into thirds and two thirds are connected as shown in fig. The thirds have...

Hey! :o I want to calculate $\iint_{\Sigma}(x^2+y^2)zdA$ on the part of the plane with equation $z=4+x+y$ that is inside the cylinder with equation $x^2+y^2=4$. We can define the surface $\Sigma : D\rightarrow \mathbb{R}^3$ with $\Sigma (x,y)=(x,y,4+x+y)$, where $D$ is the space that is...

I was just in a conversation with someone regarding the magnetic field resulting outside of a solid cylinder, with a current moving down the center of the cylinder, and then the resulting magnetic field after removing the current. Now I haven't thought about magnetic fields/magnets for a while...

Homework Statement An infinitely long cylinder of radius R carries a "frozen-in" magnetization, parallel to the axis, ## \vec M = ks \hat z ##. There are no free currents. Find the magnetic field inside and outside the cylinder by two different methods: (a) Locate all the bound currents and...

Homework Statement A cylinder with varying diameters is being filled and emptied at the same time. The time is measured. I know Flow rate into cylinder. How do I find the height of fluid in the cylinder at a particular time? The diameter of the hole is 0.005m. The diameter of the bottom of the...

Homework Statement [/B]Homework EquationsThe Attempt at a Solution The correct option is d because which body will fall first depends on the moment of inertia, the less MOI, the fast the body reaches the ground. COM motion will not be applicable here as the friction force will be different...

This may not be the proper forum but i need to find a way to calculate how much effort it will take to move a cylinder using a manual helm pump. The hydraulic cylinder i intend on using is a 32mm bore with a 16mm diameter. Stroke of 178mm. Volume of 107 cc The helm pump (attaches to a steering...

Homework Statement The large cylinder in a hydraulic press has 3 times the surface area of the small cylinder. What force should be applied to the small cylinder to create a lifting force of 7200 Newtons In a hydraulic-brake system, a force of 25 N can be applied to a surface area of 5 cm^2...

Homework Statement Consider a sphere of radius A from which a central cylinder of radius a (where 0 < a < A ) has been removed. Write down a double or a triple integral (your choice) for the volume of this band, evaluate the integral, and show that the volume depends only upon the height of the...

Homework Statement A block is placed inside a horizontal hollow cylinder. The cylinder is rotating with constant angular speed one revolution per second about its axis. The angular position of the block at which it begins to slide is 30° below the horizontal level passing through the center...

Homework Statement Given a thermally insulated right circular cylinder. A piston is on top with weight Wp. Sand is placed on top of the piston with weight Ws. The pressure is only dependent on the weight of the piston and sand. The molar heat capacities are constant. a) Find the final...

I'm currently in the process of selecting gas mixtures to calibrate a gas chromatograph. One of the gas mixtures I'm interested in has the following composition by percent volume: methane (CH4): 95% carbon dioxide (CO2): 1% butane (C4H10): 1% acetylene (C2H2): 1% nitrogen (N2): 2% The gas...

Find the centroid. Sliced Solid Cylinder bounded by $x^2+y^2=196$,$z=0$,$y+z=14$ so $r=14$ and $r\sin\theta +z=14$ so $z=14-\sin\theta$ $\displaystyle m=\iiint_\limits{D}{}^{} Rv = \int_{0}^{24} \int_{0}^{14} \int_{0}^{14-r\sin\theta}$...

Homework Statement A short metal cylinder 145 mm in diameter and 145 mm high at 1045 K is suddenly exposed (all sides exposed) to a room air temperature at 300 K with h=25 W/m².K. Assume that for the metal k=40W/m.K, den=7800 kg/m3 and Cp=c=600 J/kg.K. Estimate (a) the time required for the...

Hi! So when this system gets heated, how does the wire expand if it is bent like that? Would it expand horizontally or vertically? Also, when calculating the stress for the wire, I know that I use the thermal expansion equation for dL of steel, but other people said that you have to also...

Homework Statement Posting here because it was over a previous homework assignment and I don't understand the solution that was given out. For reference, the problem is 2.27 is Griffiths' Introduction to Electrodynamics. It reads "Find the potential on the axis of a uniformly charged solid...

$\text{Evaluate } $ \begin{align*} I&=\iiint\limits_{E} x^2 e^y dV \end{align*} $\text{where E is bounded by the parabolic cylinder} $ \begin{align*} z&=1 - y^2 \end{align*} $\text{and the planes $z=0, x=1,$ and $x=-1$}\\$

Homework Statement Cylinder : x^2 + y^2 = 1 Plane that intersects above cylinder: y + z = 2 What is the surface area of the sides of this cylinder? Homework Equations dS= R1 d@ dz @ is from 0 to 2 pi z is from 0 to 2 - y dS=(Zx^2 + Zy^2 + 1)^.5 dA Where Z = 2 - yThe Attempt at a Solution I...

Homework Statement [/B] I know only the length (l) and cross-section area (S) of an air tank, cylinder. The question is how much work is needed to pump out air from the cylinder. Homework EquationsThe Attempt at a Solution Is it correct to use here the formula W = pV? The initial pressure...

Homework Statement I just have a general question about Guass's Law and the cylinders above. I don't really understand what the difference is between the 2 cylinders? They are both charged, but one of them does not have an electric field inside the cylinder because it a conducting...

Homework Statement Homework Equations τ= η* (dv/dy) The Attempt at a Solution so dA= 2π* r * dr T = ∫ τ * r * dA T = ∫((0.01* r* 2*π * 450 /60)/(5*10^-3) ) * r * 2π* r *dr = (592.1762)*(r^4/4) T = 0.11 Nm is this correct?

Homework Statement Here is a problem we worked in class. I already know the answer, just had a question on the method. Two cylinders are connected with by a small rod (with presumably negligent mass) through their centers. The cylinders can roll freely. A spring is attached to the small rod...

Homework Statement A solid cylinder of mass, M, is connected to two springs of total stiffness, k. The springs are connected tangentially (on top) to the cylinder. The other ends of the springs are attached to walls. What is the period of oscillation of the cylinder assuming that it does not...

Long drive shaft of 5 inches fits into the end fitting and is rigidly attached by the bolts. Input torque is equal to output torque as we are ignoring losses from bearing. Let's assume that the load on the shaft is equal to 3*weight. (3 g's) (looking for more conceptual understanding rather...

Homework Statement Homework Equations R= pl/A effective resistance= 1/R The Attempt at a Solution I'm honestly don't know where to start, althought I know i need to do something with the 200 coils first, but I have no idea what should be done with it

Homework Statement Homework EquationsThe Attempt at a Solution Uniform polarization : ##σ_b = \vec P ⋅ \hat n ## Taking ## \vec P = P \hat x ~and ~ \hat n = \hat s ~, ~ σ_b = P \cos \phi ## Let's take a strip of width R dΦ at an angle Φ. This strip will be equivalent to a rod of linear...

Homework Statement A hollow aluminum cylinder with a depth of 20.0 cm has an internal capacity of 2.000 L at 20.0 C. It's full with mineral turpentine, at 20.0 C. The two of them are heated slowly, until the temperature reaches 80.0 C. a) How much of the mineral is spilled outside the...

Homework Statement Two long concentric cylinders of radii .04 m and .08 m are separated by aluminum. The inner cylinder has a charge per unit length of \Lambda at any time. When the two cylinders are maintained at a constant potential difference of 2 V via an external source, calculate the...

Homework Statement A cylinder of mass M and radius R rolls without slipping on a plank that is accelerated at rate A. Find the acceleration of the cylinder. Homework EquationsThe Attempt at a Solution Physical force acting on the system : Fphy = N + mg + fr w.r.t. plank frame i.e non -...

Homework Statement Homework EquationsThe Attempt at a SolutionThe position of the point (where V is to calculated) on the z-axis would be ##u = z_0 + l/2##.So in cylindrical coords, $$V(u) = \int_V {k \rho \over (s^2 + (u -z)^2)^{1/2}} dV = k \rho \int_0^L \int_0^{2\pi} \int_0^R {k \rho...

Homework Statement A right cylinder is at rest as in the figure below. It then starts rolling down without friction slipping. What is the magnitude of its angular velocity when it arrives at point A? At what horizontal distance from A will it stop after hitting the ground? Given: Moment of...

I have an expression for a "line- to sphere intersection" that works: a = 1 + Ax^2 + Ay^2 b = 2*(-zs + Ax*(Bx-xs) + Ay*(By-ys)) c = zs^2 + (Bx-xs)^2 + (By - ys)^2 - R^2 This is part of a code in Matlab, and works fine. It is derived from substituting (x=Ax*z+Bx, y=Ay*z+By) into...

Hi, I was wondering if I could ask for some advice. I'm was calculating the Annulus force that a hydraulic cylinder could generate that I've been asked to do some work on, however this particular ram is a little unusual in that it had a split rear piston and necks down to a smaller diameter than...

Assuming we have a cylinder that is rotating on a single axis, how would I go about calculating the torque knowing the following information? m = 2000 kg w = 60 rpm r = 5 m