Cylinder Definition and 1000 Threads

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...

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...

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...

Homework Statement http://img842.imageshack.us/img842/2816/unavngivettz.png My problem is that I'm confused about a hint I was given in this problem. I usually use the law of cosine to find the length of \vec{r}-\vec{r'} in sphere problems. But the hint I have says that I should make it...

http://img842.imageshack.us/img842/2816/unavngivettz.png My problem is that I'm confused about a hint I was given in this problem. I usually use the law of cosine to find the length of \vec{r}-\vec{r'}. But the hint here says that I should make it [r^2 + (z - z_0)^2]^{1/2} Where does this...

In Figure, a constant horizontal force Fapp of magnitude 12 N is applied to a uniform solid cylinder by fishing line wrapped around the cylinder. The mass of the cylinder is 10 kg, its radius is 0.10 m, and the cylinder rolls smoothly on the horizontal surface. (a) What is the magnitude of the...

Homework Statement A cylinder on a inclined plane is rolling without slipping. Inclined plane is connected to wall with a spring and cylinder is connected to wall with a spring too. All frictions will be neglected, and all the given data has shown on the image below. As seen above, k2...

Hi I don't understand how you can take a cylinder with equation x2+y2=2x And rewrite it to (x-1)2+y2=1 And then it suddenly becomes the equation for the base circle of the cylinder. Would it not usually require that you remove some variable to transform it from 3D to 2-dimensional...

Homework Statement I need to find the center of gravity of a horizontal cylinder that has water in it, the level of water changes so I need to determine a relation between the diameter occupied by the water and the masses, those are my guesses. I solved the problem where i have the standing...

I'm getting desperate. The professor has assigned a project and has not clearly explained how to derive the answers. I'm doing the best I can but his TA's and recommended tutors for the class are always incapable of reproducing the answers either. It's a junior level dynamics class, but he's...

Homework Statement a)-The massive grinder for wood-pulp in a newsprint paper factory, which can render about a half Tonne of wood into a thin soup in less than a minute, is essentially a stone cylinder of radius 0.900 m and mass about 6.00 Tonnes. An enormous motor spins this cylinder on its...

A few of my classmates and I are in a debate about whether or not there would be a magnetic field within a hollow cylinder. The problem has a solid cylinder with current running (throughout the solid) along its axis. Slightly off-center is a hollowed out 'hole' that runs the length of the...

What are they? I have some poeple telling me that for a cylinder it's I = (1/4)MR2 + (1/12)ML2 and that for a disk it's the same. Other people have told me that it's I = (1/2)MR2 for a disk and that it's the same for a cylinder. In the past I've used the former and have gotten the right answers...

Homework Statement The cylinder is released from rest on the inclined plane. The coefficient of friction between cylinder and plane is μ. Determine the motion of the cylinder, assuming that μ is large enough to prevent slipping. Homework Equations The Attempt at a Solution ok don't...

This is a work related problem. I was calculating the amount of force required to hold a cylinder in a position when its Center of gravity is not at the center. Problem Background Assume a 60' long cylinder. Circumferential it is made of 8 sections. For maintenance purpose, one...

Homework Statement Describe the cylinder x2+y2=9 in terms of parameters theta and phi, where (p,theta,phi) are spherical coordinates of a point on the surface. I'm a bit confused I know that spherical coords are x=Psin(phi)cos(theta)=3sin(phi)cos(theta)...

Homework Statement Evaluate the surface integral \int_{S} \int \vec{F} \cdot \vec{n}\,dSwith the vector field \vec{F⃗}=zx\vec{i}+xy\vec{j}+yz\vec{k} . S is the closed surface composed of a portion of the cylinder x^2 + y^2 = R^2 that lies in the first octant, and portions of the planes...

Homework Statement A uniform cylinder of mass m and radius R rests in equilibrium against a rough plane that is inclined at an angle α to the horizontal. The cylinder is supported by a cord under a constant tension, wrapped round it, so that the cord leaves the surface of the cylinder...

How do I write an expression that describes how the pressure and temperature in an insulated tank changes with time after a valve is opened? This is an adiabatic, reversible process with fixed volume V, pressure P, and temperature T, I've been thinking and thinking but I don't know how to solve...