Cylinder Definition and 1000 Threads

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...

When given a cylinder with radius, height and thickness, how does one go about computing the amount of material used in making the cylinder? Initially I thought the amount would be: Material=2\pi r^{2}t+2\pi r h t where t is the thickness of the cylinder. Looking at this equation...

Homework Statement A solid metal cylinder of radius R and length L, carrying a charge Q, is surrounded by a thick coaxial metal shell of inner radius a and outer radius b. The shell carries no net charge. Find the potential at the center, using r=b as the reference point. Homework...

hey guys and gals, I'm normally pretty good at my physics homework, but this problem has my STUMPED, I think I am starting it right, but I have no idea how to proceed or if I am on a good path. Homework Statement A Very Long Cylinder with a radius of 7.2cm (.072m) has a uniform density of...

Homework Statement This was a question from my homework. I got it wrong, even after asking my professor about it, and even though I can't get credit for it now, I'd like to know where I went wrong if anyone can help sort me out! "Water is drawn from a well in a bucket tied to the end of a...

Homework Statement Charge density: σ(θ)=w*sin(5θ) (where a is a constant) is glued over the surface of an infinite cylinder of radius R. Find the potential inside and outside the cylinder. Homework Equations s is a point inside or outside of the cylinder, and θ is the angle between...

Homework Statement A chemical reaction vessel has a piston/cylinder arrangement, shown in gure 1 above. When the reaction is complete, the gaseous products are at 250 KPa and 300C and can be considered an ideal gas. The 50 kg piston has a diameter of 0.1 m and initially pushes against a set of...

If someone or a few people, just look this over and tell me if I'm right or if I did something wrong I'd be so grateful. I think it's all there but I'm not sure, there might be something off. Homework Statement Air (which behaves like an ideal gas) undergoes adiabatic expansion in piston...

Hi, so I am trying to calculate the maximum height that would be achieved in a cylinder and have been give only the flow rate. The cylinder itself is a simple straight sided cylinder, the opening at the top has a diameter of 5cm and the hole at the bottom has a diameter of 0.5cm...

What is meant by "no gas enters or leaves the cylinder"? I have the following question. A platform is supported on a piston by compressed air in a cylinder. The mass of the platform and equipment being lifted is 1100kg. The pressure needed to support this mass is 800kPa, and it rests...

1. Water flows out of a cylindrical tank under gravity via a tap, the height h(t) of the water column above the tap satisfies the differential equation in the form dh/dt = -2k√h where k is some positive constant. The water column has a height initially of 25m. The tap is turned on and...

I want to calculate the surface area of semi cylinder with one or both ends skew at a given angle. To calculate the area/perimeter i need to find out the end profile of the semi cylinder. If the skew plane is perpendicular to the cylinder axis, the cut surface would be half ellipse with major...

Hey all, not sure if this is where I'm supposed to post this question, but it is all about heat transfer. So this is part of my design project for my 4th year of chemical engineering. Problem Statement: A hollow cylinder 400 m long has hot combustion gases T = 500 Celsius flowing through...

Homework Statement If the three quantities; mass, diameter, and height for a cylinder are measured with the same percentage error, which would contribute the most to the error in the density?Homework Equations ρ=M/V ρ=4*M/(pi*d^2*h) The Attempt at a Solution so, I tried to answer it like...

This is not a homework problem. Let's say I have an infinite charged cylinder with radius R . And I want to find the E field inside the cylinder. If the cylinder has a line charge of T, that is charge per length. would the charge enclosed just be the ration of the areas of the smaller radius...

Homework Statement Part 1: I have a cylinder of radius R and lengh L. At first i can assume that we have expansion in both R and L. And that i can use the linear thermal expansion coefficient(\alpha) = 4 \times 10^{-6}. The relative change in R and L is 1 \times 10^{-4}, and from that i have...

This isn't a homework problem, but I was wondering if anyone could explain two things to me. 1. When you have the differential lengths of a cylinder:dlr= dr dl\theta = r d\theta dlz = dz Why is dl\theta equal to r d\theta and not just d\theta?2. When you have the differential...

A piston-cylinder device initially contains 1.4-kg saturated liquid water at 200 C. Now heat is transferred to the water until the volume quadruples and the cylinder contains saturated vapour only. Determine: (a) the volume of the tank, -> Use P1 = P2 to solve -> find Vg at 200oC (b) the...

I'm doing a steady-state thermal analysis for a cylinder geometry. Inside the cylinder is a heat source and this heat is going to water channel (modelled with FLUID116 elements) and the air. For air convection I have to define a heat transfer coefficient which is dependent on the flow of air...

Okay I hope i can get some quick replies , its urgent i have a science project coming and what i want to do is rotate a cylinder using a d.c motor its a relatively small cylinder radius = 4 cm length around = 15 cm mass will be around 200-300 grams now i can't figure out how can a small...

Hello everyone, I'm working with a design team to take quick and accurate measurements of the middle upper arm circumference in third world countries to assess malnutrition in children. One of the issues in taking measurements is people pulling variably on the tape measure around the arm. My...

Homework Statement http://smartphysics.com/Content/Media/Images/EM/03/h3_lineD.png charge density 1 = .00029 C/m charge density 2 = -.00087 C/m h = .116 m a = .094 m a) What is the total flux Φ that now passes through the cylindrical surface of height h=.116 m? Enter a positive number if...

Situation: A uniform cylinder (Mass M, Radius R) is rotating down a slope of incline θ and distance s, there are two methods which I used to calculate the final speed, one of which considered forces acting on the cylinder and the other using energy, pure rolling assumed throughout, both give...

Since algae can produce oxygen in closed containers, which you can inhale as a byproduct, when provided CO2 from your lungs; you could in theory take diving cylinders filled with algae with you, when diving, correct? I suppose this hasn't been done before, why not?

Homework Statement Given a cylinder of radius = 5m, and height = 10m, how many cubic meters is that? If I just compute those values in the formula for a cylinder, I get 785.4. But 785.4 what? Is it785.4m^3? Homework Equations The Attempt at a Solution

Homework Statement Suppose there are 1000 marbles/meter^3 And I have a cylinder of \pir^2(h), where radius is 2 meters and height is 5 meters. How many marbles can the cylinder hold? Homework Equations Do I have to somehow convert volume of the form \pir^2(h) to volume of the...

I'm a third year chemical engineering major and this is my first real thermodynamics class, so I'm not entirely sure what I'm doing. Any help is greatly appreciated! Homework Statement A rigid horizontal cylinder contains a freely moving piston. Initially, it divides the cylinder into equal...

Homework Statement A closed cylindrical canister with central axis coincident with the Z axis has a height H and a radius R. It is suspended by a rod coincident with the Y axis that passes through the canister, transecting its central axis at a height h above the bottom surface of the canister...

I want to calculate the force generated (as a result of expanding air) from pressure created by heating air up to a maximum temperature of 800 degrees Celsius. My flywheel with a radius of 0,030m is rotating at a speed of 850RPM and weights 0,27Kg. Angular velocity: w=850RPM*(2pi/60)=89rad/s...

If you have a tube and a solid cylinder of the same dimensions and density and rolled them down an inclined plane the 'tube' would cover the same distance in less time?

Okay, so we know that an equation of (x-a)^2 + (y-b)^2 = R^2 is the equation for a circle. Basically where x-a is change in the x-axis and y-b is the change in the y-axis. Here is the thing that I don't get, as quoted from my book. This equation in R^3 (three dimension) defines the cylinder...

Homework Statement Homework Equations E = 1/4(\pi \epsilon_{0}) * \frac{p}{r^2} The Attempt at a Solution E = 2\pir_{0} \epsilon_{0} = pl/\epsilon_{0} = \frac{pr}{2\pi r_{0} \epsilon_{0}} I am going by what I know about Gauss Law and using a similar format for the Electric field equation for a...

Homework Statement There is a cylinder with two sections (not straight down the middle). One has density 4.5(g/cm^3) the other with 6.4. The radius of the cylinder is 6cm and the total length is 19cm. The total mass is 11833 grams. I need to find the length of the lighter density section of...

Hi i have cylinder geometry . bottom (cross section)circle centre point is x1, y1, z1 and top is x2, yz, z2. cylinder centre axis is not allign with any (Global x,y,z) axis. if i want to align a cylinder with Global axis(x,y,z), what is angle need to rotated with respect to x ,y ,z (Global )axis.

The problem states: "An infinitely long cylinder of radius a in free space is charged with a volume charge density p(r)=p0(a-r)/a where (0<=r<=a), where p0 is a constant and r the radial distance from the cylinder axis. Find the charge per unit length of the cylinder." Q = ∫ p dv My...

Homework Statement a solid cylinder of mass m and radius R and a plank of mass M are placed on a smooth horizontal surface. there is sufficient friction between the cylinder and the plank's surface to prevent sliding of the cylinder. the fixed pulley is smooth. if the plank is pulled with a...