Solids Definition and 302 Threads

We are doing rotational volume in Calculus II right now. I know the basic rules for the disk, washer, and shell methods, but I'm having trouble getting started with these questions. I'm not sure how to set up the equations. Any sort of help would be great. Thanks so much!

hello all! I am new to this forum. I am doing Mechanic of Solid ( summer course). I have come across with this problem , but I don't know how to solve it. I have attached the question. Could anyone help me? I don't know how to convert from density to force. in this questions given are...

Homework Statement Find the volume of the solid obtained by rotating the region bounded by y=2x2-x3 and y=0 about the y-axis Homework Equations There no required method (between Disk, Washer, Shell). In my attempt below, I used the Shell method, I believe. 2π(shell radius)(shell...

In my physics textbook, temperature is defined as a measure of the average KE of random translational motion of particles. It also states that temperature does not account for the KE from molecular vibration or molecular rotation. In an earlier chapter, my text describes the motion of atoms in...

Currently my class it calculating volumes of solids by rotating them about some axis, say for instance the function f(x) = x^2 bounded by s = { (x,y) | 0≤x≤1 , 0≤y≤1} and rotating it about the y - axis. I understand the general look of the graph on paper but I can't visualize the actual solid...

Homework Statement Calculate the total charge embodied in a solid with charge density that decreases linearly with height from a value of λ at the bottom to 0 at the top. Solve for a rectangular prism and a sphere. Homework Equations ∫∫∫ρdxdydz ∫∫∫pr^2sinθdrdθd∅ The Attempt at a Solution...

Problem The area between y=x^{-2} and x=1 & y=e is rotating around the y-axis. What is the volume? Attempt \pi\left( r_{outer\mbox{}} \right)^{2}\; -\; \pi \left( r_{inner\mbox{}} \right)^{2} \; \; \; \delta y. \frac{1}{x^{2}}=y\; gives\; \frac{1}{y}=x^{2}\; and\; r=\sqrt{y} V=\pi...

We started to learn about chemical equilibrium and equilibrium constants a few weeks ago and something has been bugging me. I don't understand why solids and liquids are not included in the equilibrium constants for some reactions. Here's a hypothetical situation with the following reaction...

2 Questions here! (I'm not exactly sure if it's allowed, but I want to avoid posting too many threads) Homework Statement 1)Find the following definite integrals by using a trigonometric substitution: d)1/2∫1dx/(√(2x-x2) Homework Equations x=asinu The Attempt at a Solution From...

Homework Statement So I am designing the suspension for a small formula car. It's a pushrod suspension much like what is shown below: [PLAIN]http://f1-dictionary.110mb.com/Images/pullrod_poshrod_push.gif I am trying to find the required tubing diameter for the loads the car will experience...

Why can't sound pass through closed doors?

Hi friends, I need the average speed of sound in some common solids, such as Si, Cu and Al, over temperature ranges from 100K to 500K. After 5 hours of surveying acoustic and physical properties handbooks and googling the web, what I find is almost nothing. Does anybody know a...

Homework Statement Calculate the volume of the solid of revolution formed when you rotate region R, delimited by f(x) = x^2 from x = 0 to x = 3, around: a)the x axis b) the y axis The Attempt at a Solution I solved it using the disc method. a) dV = pi * x^4 * dx. thus V = (pi*...

Volume Of solids question help! Homework Statement i) find the area enclosed by the curves y=x^1/2 and y=x^4 ii)find the volume of the solid when the area in part (i) is rotated about the the line x=2 Homework Equations V=PI*y^2dx The Attempt at a Solution wel the area is simple...

A solid has a circular base of radius 2. Each cross section cut by a plane perpendicular to a fixed diameter is an equilateral triangle. Compute the volume of the solid. First, we find a way to define a the distance of a chord of the circle perpendicular to the fixed diameter. The equation...

how is the relationship between fermi level and band structure of solids can effect electrical conduction properties of a material?

Why do some watches go slow when the temperature rises?

Do solids expand in low preasure? I was wondering about the volume of solid material under constant temperature, but variable preasure... What is the difference in the volume of an Iron crystal between 1atm & vacuum for example? Do solids expand in low preasures? if yes, how much? Are there...

Homework Statement In the question your working with the region bounded by the two curves y=x^2 and y=x^3. In the first part of the question you had to revolve the region around the x-axis and find the area which I managed to do by subtracting two areas from each other. The second part of...

Homework Statement In Problems 11-15, let R be the region bounded by the lines y = −2x – 4, y = 6, and x = −2. Each problem will describe a solid generated by rotating R about an axis. Find the volume of that solid. 14) The solid is generated by rotating R about y = −3.The Attempt at a...

Homework Statement Here is the problem : Find the volume of the solid generated when the area bounded between the following functions rotates along the y=4 line. Functions: y=x^3 y=4x Homework Equations Functions...

Homework Statement List the solids in order of increasing polarity. NaCl,C10H8, C6H5COOH, NH2CONH2. Homework Equations N/A The Attempt at a Solution C10H8, C6H5COOH, NH2CONH2, NaCl. My rationale is that the longer the carbon skeleton the least polar.

Homework Statement In Problems 1-5, let R be the region bounded by y = x^2 + 3, y = 2x, x = 0, and x = 4. Each problem will describe the cross sections of a solid that are perpendicular to the x-axis. Write an integral expression that can be used to find the volume of the solid (do not...

im pretty sure i know the answer but want to be sure. if you have a reaction such as : A(g) + B(g) --> C(g) + D(s) and you increase the concentration of A, the reaction will shift to the right. and i know the concentration of B will decrease and C will increase. but what about D. I am...

Name a substance that will change from liquid state to solid state on heating.

Homework Statement Consider a system of 2 large, identical Einstein solids. Each solid has N=10^23 oscillators, and the total energy units in the combined system is 2N. a) Assuming that all of the microstates are allowed, compute the entropy of this system. This is the entropy over long time...

Why are the concentrations of solids not incorporated into the equilibrium expression? All the books say it's because the "concentration of a pure solid is constant", but that doesn't make sense to me... If the solid is dissociating to produce a given product, why doesn't the concentration...

Hello I need help for this problem, it has been 4 hours trying to do it Homework Statement Find the volume of the region of space above the xy-plane, inside the cone z=7−\sqrt{x^{2}+y^{2}} and inside the cylinder x^{2}+y^{2}=4x. Homework Equations The Attempt at a Solution I...

dear all, I don't quite get the difference between a metal, a semi metal and a semiconductor with zero gap. So far I thought that e metal was a material with a zero gap, that does not seem to me right. Can someone provide me a little explanation? Thanks, Eric.

Homework Statement Use the method of cylindrical shells to nd the volume of the solid obtained by rotating the region bounded by the curves y = x4, y = 1, x = 0 about the y-axis. Sketch the region and a typical shell The Attempt at a Solution I am just going to set it up, but I am not going...

I was wondering - when pressure is applied to solids, do they heat up? Not pressure like an impact - I'm not talking about conversion of kinetic energy. But suppose a piece of iron is put in a hydraulic press and the pressure increases slowly. More specifically, I'm wondering about the rocks...

Hi does exist some liquid or solid toxic compound? for toxic i don't mean mortal! Thanks

I've got several thoughts, but none of them is complete. A general explanation is that when a few atoms form a structure with lowest energy, then when the interfacial energy is low, these independent small groups of particles tend to gather together and form periodic structure. But why are...

Homework Statement A steel balk has a length of 50.485 m at the temperature of 5.0 oC. Homework Equations What would be the length of the balk at the temperature of -22 oC, when the coefficient of linear expansion (α ) is 0.000012 / oC? The Attempt at a Solution 50.469m?

I know, theoretically ultrasound has no upper limit (everything above 20kHz).. However, I was wondering whether on a practical note a maximum exists? I read somewhere that frequencies of the order 10^12 Hz were reached. Would a maximum frequency be based on the mean free path between the...

Does it have to do with the fact that the molecules vibrate so close to each other, and transfer more energy to each other?

I have a serious doubt about the concept of band theory of solids. While explaining the behaviour of semi conductors, the following explanation is given. "The valency bands are completely filled electron-bands, where as the conduction band is usually empty. The conduction takes place when a...

Homework Statement This is the worksheet: http://webcache.googleusercontent.com/search?q=cache:9jyqtuswY1AJ:www.chemmybear.com/groves/apch13_imfans.doc+ap+chem+pasadena+imf%27s&cd=1&hl=en&ct=clnk&gl=us&client=firefox-a Homework Equations None, as far as I know The Attempt at a...

Hello everyone, I have two questions about the Debye model (one historical and the other theoretical). 1. Debye models oscilators as standing waves. Where did his idea come from? Is there any physical reason to suppose this? I guess he didn't compute 1000 models just to see that this one...

Homework Statement The wastewater treatment plant operates anaerobic digesters that have a total volume of 824,000 gallons. The average flow rate of sludges into the digester is 11.3 gpm(gallons per minute). The total solids concentration of the sludge is about 2%, and of that 70% is...

When a block of mass M is suspended by a long wire of length L, the elastic potential energy stored is given by 1/2 x Mg x l, where l is the elongation produced. The loss in gravitational potential energy of the mass-earth system is Mgl. I wonder where does the other Mgl/2 go?

From what I know, a liquid is H2O and its atoms are moving constantly. But when it freezes it atoms start to slow down and the liquid is a solid. So the question is there any other way to turn a liquid into a solid?

Homework Statement Why don't we take into consideration the concentration of pure solids and pure liquids in equilibrium constant expression? I read that their concentration per unit volume does not change. If the concentrations (moles per litre) don't change then it won't undergo any...

Why is it that gamma and radio waves can pass through some solids so easily compared to visible light? I understand that the wavelengths are different than visible light, but why does that effect things? Do they simply not interact with anything in the material? Or, if they do, what to...

The problem reads(from Stewart Calculus Concepts and Contexts 4th edition, Ch.6 section 2 pg. 447 #45 a)Set up an integral for the volume of a solid torus(the donut-shaped solid shown in the figure) with radii r and R b)By interpreting the integral as an area, find the volume of the torus...

Homework Statement Hi, well, I don't have to solve any problem yet. I have an inquietude about solids of revolution. I've been reading this: http://en.wikipedia.org/wiki/Solid_of_revolution and this: http://en.wikipedia.org/wiki/Disk_integration What I wanted to know is if its the same this...

Statement: The ancient Greek philosopher Plato theorized that the http://en.wikipedia.org/wiki/Classical_element#Classical_elements_in_Greece". I'm not a philosophy or science student, so please keep your reply plain and straightforward. Thanks. I can understand the literal meaning of the...

Find the volume of the solid st, 1. y=cos x , y= 0 in [0,pi] ; Rotated around x=1 2. I am slightly confused, I see that the area will double around twice so I can just use the left half of the curve. I am just not sure how to do so.

Homework Statement Describe what influence the periodic structure of a crystalline solid has on the energy distribution of the free electrons, and hence explain, in general terms, why some solids are electrical conductors and some are insulators. Homework Equations The Attempt at a...

Homework Statement A small dam of triangular shape as shown is made from concrete. Find the stresses on the foundation at A and B. Assume concrete and water weighs 25kN/m^3 and 10kN/m^3 (All dimensions in the attached picture are in metres) Homework Equations sigma = force/cross...