Solid Definition and 1000 Threads

Here is the question: Here is a link to the question: Calculus homework help? - Yahoo! Answers I have posted a link there to this topic so the OP can find my response.

Homework Statement Find the volume of the solid generated by revolving about the line x=-1, the region bounded by the curves y=-x^2 + 4x - 3, and y=0. Homework Equations Shell Method? The Attempt at a Solution V= 2pi * ∫x* f(x) dx, where a and b are the lower and upper limits of...

Homework Statement Volume of solid rotated about x-axis x=1+y^2, y=1, y=0, x=0 using shell method Homework Equations The Attempt at a Solution so i set up the integral with ∫2pi(y)(1+y^2)dy from 1 to 2 which is apparently wrong, but i don't know why.

Somehow I missed my registration notification for Fall and the E&M and Mathematical Physics classes are full. I am an astrophysics major. I wanted to take nuclear physics, but it will not be offered again until Fall 2014. I will be taking thermodynamics in the fall, but I am wondering if I...

Here is the question: Here is a link to the question: Find the volume of the solid obtained by revolving the region enclosed by y = xe^x , y = 0 and x = 1? - Yahoo! Answers I have posted a link there to this topic so the OP can find my response.

How come the area below the graph of \frac 1x between [1, \infty) does not exist, but the solid of revolution below the same graph in that same interval does exist? I do not see the logic.

Here is the question: Here is a link to the question: Volume of a solid of revolution about x=3? - Yahoo! Answers I have posted a link there to this topic so the OP can find my response.

to my fellow mechanical engineers, please help me with some basic machine design problems. a certain drive shaft rotating at 500 rpm transmits 200 hp to an 8 inch diameter gear. Design a suitable solid shaft for this application. the shaft is ductile. Design stresses are to be limited to...

Homework Statement A solid disk of mass m and radius R rolls without slipping with a velocity v. Assuming it doesn't slip, how far vertically will it roll up an incline? Homework Equations I=0.5mr2 E=0.5Iω2 KE=0.5mv2 PE=mgh The Attempt at a Solution I'm thinking that we need to...

Homework Statement Saturated liquid CO2 is at T= 293 K and P=5.72*10^6 Pa and undergoes throttling to P=1.01*10^5. The resulting solid and vapor mixture is at T = 195 K. What fraction of the carbon dioxide is vaporized? (The enthalpy of the saturated liquid in the initial state is 24,200...

Homework Statement Alright well I think I have this right, but my teacher has it done a different way.. Find the volume of the solid obtained by revolving the region bounded by y=x2+1; y=9-x2 about y=-1. Homework Equations The Attempt at a Solution So I thought the integral would...

Homework Statement Consider the region bounded by the curves y= lnx and y=( x-3)^2 Find the volume of the solid obtained by rotating the region about the y-axis Homework Equations The Attempt at a Solution For this I solve for the x so i got x= e^y and x= (y)^(1/2) +3...

Does anyone know for sure that when standing in a single spot (for a better idea we will say on a block of steel) that there is a microscopic indent (not permanent) on the steel block. For more elaboration I see it as the same aspect as walking on a plank of wood and it will bend due to your...

Homework Statement Some atoms in Cu crystal (Cu has a FCC lattice) are replaced by Zn atoms. Taking into account that Zn is bivalent, while Cu is monovalent, calculate the atomic ratio of Zn to Cu in ZnCu alloy at which the Fermi surface touches the first Brillouin zone faces. Use the...

Find the volume of the solid obtained by rotating about the y-axis the region bounded by the curves y= e-2x^2, y=0, x=0, x=1. Should the bounds for the problem be taken from the y-axis or the x-axis? I think that the integral for this problem would be: ∏∫(e-2x^2)dx , is this correct

Homework Statement The volume shown lies above a square in the (x, y) plane having corners (4, 1), (5, 1), (5, 2), and (4, 2). The remaining two surfaces are planes defined by z1 = 2x + 4y + 7 and z2 = 3x + 6y + 8. The density of this object is 880.y. Determine a) the volume of this object...

Homework Statement A solid sphere - 20mm in diameter, σ (specific gravity) = 1.3 dropped in water μ=1*10^-3 and ρ=1000 determine the terminal velocity for the sphere. (hint- guess the value for the drag coefficient then iterate) Homework Equations Fd=(1/2)*Cd*ρ*(U^2)*A...

Homework Statement Homework Equations {3.9b} A[2\mu -m\omega ^2 ]=2\mu Bcos(\frac{ka}{2}) B[2\mu -M\omega ^2 ]=2\mu Acos(\frac{ka}{2}) The Attempt at a Solution All I can think of is setting k =\frac{\pi}{a} so that B[2\mu -M\omega ^2 ]=A[2\mu -m\omega ^2 ] solve for omega...

Hi Everyone, For an individual inquiry and formal lab report task at school I have chosen to conduct an experiment to find out whether hot shoe mounted flash units follow the inverse square law and how the flash zoom is affected by the inverse square law. My first question is that In order...

Homework Statement Find the mass and the center of mass of the solid E with the given density function ρ(x,y,z). E is bounded by the parabolic cylinder z = 1 – y2 and the planes x + 4z = 4, x=0, and z=0; ρ(x,y,z) =6. m=? x=? y=? z=? Homework Equations z = 1 – y2 and the planes x...

Homework Statement Calculate the volume of the solid of revolution formed by rotating the region around the y-axis. Apply the shell method. f(x)=e^x, x=0, y=8 Homework Equations V=∫2∏x((f(x))-g(x))dx The Attempt at a Solution This is what I did: (I integrated from 0 to 8)...

Homework Statement Can i use "pyramid" method to derive the equation of Moment Inertia solid sphere? The pyramid is such we slice a watermelon. Sorry for my bad english. Regards. Homework Equations 2/5 MR^2 The Attempt at a Solution

Homework Statement Find the volume of the solid formed by revolved the region bound by the graps of y =x^2 + 1, x=0, and y =10 around the y axis. Homework Equations pi r^2 The Attempt at a Solution The x bound 0 is given to us. I solved for y=10 by 10=x^2 + 1 I am not sure if I...

Hello PF :) Homework Statement Consider a system of N electrons at temperature T = 0, each having a mass of m, confined to volume V. Find the number of electrons that: a) have momentum p<p_f/2 b) ... Homework Equations The relevant equations can be derived below: but here is a...

Homework Statement Estimate the volume of the solid whose base is bounded by the graphs of y = x + 3 and y = x2 − 3, and bounded by the surface z=x2+y from above, using the indicated rectangular cross sections taken perpendicular to the x-axis (figure is not the actual graph of the functions...

Hey there, What would you say the prerequisites are for learning Solid State Physics? Both mathematics wise and physics wise. Thank you :)

Hi I'm trying to follow a derivation, I don't think I'm allowed to post the content (copyright) but the paper is here: http://www.sciencedirect.com/science/article/pii/002240739290117M. Does anyone have access to this and know a little bit about integrating over solid angles? I've spend half...

Homework Statement Rod AB of length 2l, inclined to the horizontal at an angle \phi, falls, without rotating, with some height h on a horizontal table and hits the table surface elastically first left, then right end. During the strike the right end, the rod again consist angle with the...

Hi, Is solid state device physics a must learn subject to design analog circuits. -Devanand T

Solving Boltzmann equation Homework Statement Taken from Ashcroft & Mermin, Solid State Physics, Chapter 16, Problem 2: "A metal is perturbed by a spatially uniform electric field and temperature gradient. Making the relaxation-time-approximation (16.9) (where g0 is the local equilibrium...

Here is the question: Here is a link to the question: Calculus ii question!? - Yahoo! Answers I have posted a link there to this topic so the OP can find my response.

Homework Statement Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves y = x^2 and y = 4 about the line y = 4 The Attempt at a Solution Since y=4 is parallel to the x-axis i assume i should be using the 'washer' method. The points of...

All I understand clearly that if a metal sphere is charged then the charges must reside on the surface because that is the only way there is no electric field within the metal. However if you imagine a neutral metal sphere, and let's say it is suddenly enclosed by a uniformly charged metal...

1D solid, 0<x<L, with the following boundary conditions: The whole solid is at T = T1 at t=0. x = 0 is held constant at initial temperature T1 for all t. There is a constant flow of heat, dQ/dt out of the solid at x = L. T(0,t) = T1, T(L,0) = T1, How do we go about solving the heat equation...

My choice of solid state Dc circuit breaker is the Mosfet, easily available( i got loads!) i want the mosfet to interrupt the circuit to protect the load from overvoltages This is what I've done so far, please help its not working the way i want it to. note to mods: i also put this...

My choice of solid state Dc circuit breaker is the Mosfet, easily available( i got loads!) i want the mosfet to interrupt the circuit to protect the load from overvoltages This is what I've done so far, please help its not working the way i want it to. the resistor connected to the...

Hi, I am currently struggling in my solid state device class, and i am looking for some links/site that could help me understand more about such. please help! Thank You!

n is the band index and k is the electron wave vector. Now is energy band specified when for each n , k runs through all the values available that specify periodic boundary conditions ? But in Ashcroft Mermin , it is also given that for a given k , there exists an infinite family of solutions...

Homework Statement A 200g cylinder of metallic copper is compressed isothermally and quasi-statically at 290K in a high-pressure cell. A) Find the change in internal energy of the copper when the pressure is increased from 0 to 12kbar. B) How much heat is exchanged with the surrounding fluid...

Homework Statement I have done this problem for the case of a spherical shell, however, I am not understanding how to go about this for a solid sphere. Homework Equations \vec{A} = \frac{1}{4 \pi} \int_{\phi' = 0}^{2 \pi} \int_{-1}^1 \int_0^R \rho_o \Theta(R-r) \sum_{l=0}^\infty...

Like the tittle says.. I am practicing and wanted to make sufre I did it correctly. Forma this excersice the only doubt es en the las parte ( parte 5)... I am not sufre but i think I need to use .005 rather than .05

Can anyone explain point 44 of the attached pdf document on surface tension. (Here's the link in case attachment doesn't work: http://www.sakshieducation.com/EAMCET/QR/Physics/Jr%20Phy/12Surface%20tension%20_198-208_.pdf How is the surface tension direction found out? {i know it...

Homework Statement A nonconducting, solid sphere of radius a is placed at the center of a spherical conducting shell of inner radius b (> a) and outer radius c, as shown in the figure below. A charge +Q is distributed uniformly through the sphere, which thus carries a charge density ρ...

Homework Statement Explain why electrons carry a net energy but not a net current in the case of thermal conduction. Homework Equations n/a The Attempt at a Solution n/a Please help me understand this!

1. Use the integration capabilities of a graphing utility to approximate the surface area of the solid of revolution. (Round your answer to four decimal places.) Function: y = sin(x) Interval: [0, pi/4] revolved about the x-axis 2. Use the area of a surface of revolution...

Homework Statement Region: f(x) = 2 sin x on the interval [0, π]. Find the volume of the 3D solid obtained by rotating this region about the dashed line y = −1. Homework Equations Integration of pi∫(2sin(x) + 1)^2 dx The Attempt at a Solution...

Homework Statement Sodium transforms from bcc to hcp at about T=23K. Assuming that the density remains fixed and the c/a ratio is ideal (1.633), calculate the hcp lattice constant a, given that the lattice constant a'=4.23 Angstrom in the cubic phase Homework Equations I can't find any...

Hi Guys, This may seem like a stupid question but if the Earth gets hotter the closer to the core you get, then why is the inner core apparently solid? Yet the outer core is liquid? They are both (inner/outer cores) made of roughtly the same stuff, and assuming pressure alone is what...

Here is the question: Here is a link to the question: Shell method calculus? - Yahoo! Answers I have posted a link there to this topic so the OP may find my response.

Homework Statement Find the volume of the solid generated by rotating the region bounded by the x-axis, the curve y=3x^4, and the lines x=1 and x= -1. The axis of rotation is the y-axis. Homework Equations Washers method: V=∏∫ [(R)^2 - (r)^2]dr x = (y/3)^(1/4) The Attempt at a...