Solid Definition and 1000 Threads

Here is the question: I have posted a link there to this thread so the OP can view my work.

Homework Statement The problem is attached in this post. Homework Equations The problem is attached in this post. The Attempt at a Solution I used washer method and set my outer radius as 2+2+√(x-1) and my inner radius as 2. I set my upper limit as 5 and my lower limit as 2...

Homework Statement The problem is attached in this post. Homework Equations The problem is attached in this post. The Attempt at a Solution I used shell's method and set up my integral as 2π∫(4-x)(x^2)dx, from -2 to 2 and got an answer of 128π/3 which is incorrect. The actual answer is...

Here is the question: I have posted a link there to this thread to the OP can view my work.

Homework Statement Find the volume of the solid using cylindrical shells: y=e-x^2 y=0, x=0, x=1, about y-axis. Homework Equations How do I integrate xe^(-x^2)? The Attempt at a Solution 2∏x∫0 to 1 xe^(-x^2) dx 2∏*-(e^(-1))/2)

Homework Statement See the attached problem. Homework Equations See the attached problem. The Attempt at a Solution I used washer method and got an inner radius of x=y^2 and an outer radius of x=y+2, I calculated my upper limit as being 4 and my lower limit as being 0. The answer is 72π/5...

Homework Statement I don't have the exact wordings of the problem statement. I hope the following is enough to understand the problem. A solid hemisphere is kept on a plane horizontal frictionless surface. The hemisphere is made to tumble (or toss, I am not sure about the correct word)...

Homework Statement Find the volume of the first quadrant region bounded by x=y-y3, x=1 and y=1 that is revolved about the y-axis. 2. The attempt at a solution v=∏ ∫ from 0 to 1 of (y-y^3)^2 dy and doing this, I got the answer to be 8∏/105. Did I set up that integral...

Homework Statement It asks to find the volume of the solid given these planes: z = x y = x x + y = 2 z = 0 It also asks to find the volume using 2 iterated integrals with different orders of x and y integration. Homework Equations The Attempt at a Solution I found...

Find the Volume of a Solid by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer. $$x = y^2$$, $$x = 1 - y^2$$, about $$ x = 3$$ So here is how far I've gotten with this problem. I need help though. Any guidance...

I've been reading Kittel's book on Solid state physics and while it's been mostly smooth sailing, the abrupt loss of rigour in places in unsettling. In particular, the bits about scattering seem to be just thrown in here and there without any rigourous mathematical treatment at all. He talks...

Hi, It's surprising how little information is available on this topic, considering it seems like such a fundamental problem. The only tutorial I have found is http://www.umich.edu/~ners312/Course%20Library/SolidAngleOfADiskOffAxis.pdf, and my university does not have access to the other papers...

how to reduce temperature of a solid bar from 550°c to 450°c by water spaying... someone really help me...??

Hellow! I known an infinitesimal relation between the solid angle Ω with the azimutal angle θ and zenital φ, that's given by d²Ω = sin(φ) dφ dθ. But this is infinitesimal relation, exist other relation non infinitesimal between the solind angle with the plane angles? Thanks!

A uniform sphere of mass M and radius R has a point on its surface fixed at the origin. Its centre lies along a line in the direction of the position vector r = i + 2k + 3k at length R. Find the components of the torque acting on it due to gravity if the z-direction is upwards and gravity acts...

Homework Statement a light string is wrapped around a solid cylinder and a 300 g mass hangs from the free end of the string. When released, the max falls a distance 54 cm in 3.0s. b) calculate tension in string c) calculate mass of cylinder Homework Equations F=ma I=1/2(mr^2)...

In this case, wouldn't the solid expand in all directions? Wouldn't x and y decrease?

Homework Statement Set up a double integral to find the volume of the solid bounded by the graphs y=4-x2 and z=4-x2 The attempt at a solution I drew myself a 3d graph but it's just a parabloid in the xy plane and a parabloid in the xz plane right? so I'm unsure how to set up my...

Hi, Could someone explain how to calculate the probability that two substitutional dopants will reside in adjacent lattice sites. For example, given a dopant concentration of 5% and a crystal structure in which each lattice site/atom is coordinated to 8 others what is the probability of...

Homework Statement ) Two uniform, solid cylinders of radius R and total mass M are connected along their common axis by a short, massless rod. They are attached to a spring with force constant k using a frictionless ring around the axle. If the spring is pulled out and released, the cylinders...

The problem is : a) Find Helmholtz free energy F(V, T) of a simple solid. b) Use the result of part a) to verify that (∂F/∂T)v and (∂F/∂V)T are consistent with S(T, V) and P(V, T) in equation P=a0T-b0ln(V/V0) I know: Helmholtz free energy is F=U-TS and dF=-SdT-PdV S=-((∂F/∂T)v)...

Homework Statement The Question originally is to find the m of a solid uniformly charged solid sphere which is rotating uniformly with ω Now Homework Equations Now my question to you is how to take the small element? The Attempt at a Solution i take a small disc with...

Here is the question: I have posted a link there to this thread so the OP can see my work.

The problem is : a) Find Helmholtz free energy F(V, T) of a simple solid. b) Use the result of part a) to verify that (∂F/∂T)v and (∂F/∂V)T are consistent with S(T, V) and P(V, T) in equation P=a0T-b0ln(V/V0) I know: Helmholtz free energy is F=U-TS and dF=-SdT-PdV S=-((∂F/∂T)v)...

how would i go about calculating the peak force of an impact between two solids i assume it has to do with the how readily the structure compresses but I am not sure what else might complicate it from there also what if one of the objects fractures and what about granular impacts

Homework Statement Find the volume of the solid of revolution when we rotate the area limited by the x-axis and the function f(x) = 1 - cosx where x e [0, 2∏] once around the y-axis? The Attempt at a Solution In my notes I have the following equation: V = ∫ 2∏x f(x) dx If I put...

1. The problem statement The potential energy between two ions is u(r) = -α/r2 + β/r8 Determine: (i) The intermolecular distance ro for which the potential energy is minimum (ii) The inter-atomic distance for which the potential energy is zero is R= (2)-1/6ro...

I'm a mechanical engineer and I am more specialized in structural calculations than dynamic calculations and now I'm faced with a basic dynamic problem and would need some help. I have a solid cylinder (shaft) that I want to rotate around its axis. The cylinder is supported by two bearings at...

I have an interesting question that I'm not sure how to go about solving. This question has a little general relativity and (maybe) a little QM, but I wasn't sure where to post it. Question: Imagine that a \pi0 meson traveling along the z-axis (velocity v=0.99c, rest mass M) decays into two...

Homework Statement Problem: Find the volume of the solid of revolution obtained by rotating the area bounded by the curves y = x^2 – 2 and y = 0 about the line y = -1. Consider only that part above y = -1. Solution: The solution is attached as TheSolution.jpeg. Homework Equations...

Homework Statement A solid sphere of mass M and radius R is rolling,without slipping, down a curved rail. The sphere is initially at rest at a height of h1. Find the angular velocity ω2 and the center of mass velocity of the sphere vcm at the end of the rail of height h2. You may assume that...

Solid State Physics Quantum mechanics and quantum nature of solids, properties of materials. Band theory in metals and semiconductors. Conduction processes, the p-n junction, transistors and other solid state devices. Field Theory Review of vector analysis and coordinate systems...

How do water molecules behave in the presence of a static electric field? If I apply an electric field on water molecules, would they apply pressure to a solid surface (let's say a noble metal), and if so, what would happen? Could the oxygen wedge in between the atomic gaps on the surface of...

1. Use a triple integral to find the volume of the given solid. The solid enclosed by the cylinder x^2 + z^2 = 4 and the planes y = -1 and y + z = 4 This looked like a cylindrical coordinate system to me, except for the fact that it is not cylindrical around the z-axis but the y-axis. I...

Hi I am very confused at determining the type of elastic wave in a vibrating body. For example, an elastic solid is flexuraly vibrating in one of its resonant mode. There should be elastic wave excited from this vibration. But, my question is which wave will be excited through it...

Homework Statement Find the energy stored in a uniformly charged sphere of charge q, radius R Homework Equations The Attempt at a Solution Ein=\frac{qr}{4\pi\epsilon o R^3}, Eout=\frac{q}{4\pi\epsilon o r^2}... W=\int_{0}^ {R}\int_{0}^{2\pi}\int_{0}^{\pi}[\frac{qr}{4\pi\epsilon...

Hello! I had this doubt when I was 14-15 years old, and I waited for many years (I'm 49 now) to ask about it, as I always thought this to be a silly question. In case someone can help with this, that's a thought experiment. It starts with this: if you have a sphere of gas, and then apply...

Homework Statement The base of S is the triangular region with vertices (0, 0), (5, 0), and (0, 5). Cross-sections perpendicular to the y-axis are equilateral triangles. Find V of described triangle. Homework Equations The Attempt at a Solution I first wrote the equation of the...

Q: Consider the solid that lies above the cone z=√(3x^2+3y^2) and below the sphere X^2+y^2+Z^2=36. It looks somewhat like an ice cream cone. Use spherical coordinates to write inequalities that describe this solid. What I tried to do: I started by graphing this on a 3D graph at...

Homework Statement The lab is attached. I've also attached the pre-lab just for the diagram. Homework Equations The Attempt at a Solution Can anyone think of some good errors for this lab? We ended up with ~80% error. I've thought of two: 1. Adjusting the potentiometer so...

Hi forum goersI'm reviewing some coursework for my General Chemistry class and cannot seem to find a reasonable explanation of why amino acids exist as zwitterons in solid state and ph7 solutions. I'm fairly certain the explanation has to do with its solubility in water, but I am not sure. Here...

Hello MHB, As students of calculus, we are taught to find the volumes of solids of rotation obtained by revolving given regions about horizontal and vertical axes of rotation. But, what if the axis of rotation is neither horizontal nor vertical? Please consider the following diagram: We wish...

Homework Statement Find the volume of the region bounded by the curve y=x^(1/3) and y=x rotated about the line y=1. Homework Equations The Attempt at a Solution My teacher's solution is 4∏/15 . I got 11∏/210. http://imageshack.us/a/img443/426/0zhs.jpg...

hello please see attached snapshot from the book of Ligthmann & al. (problem book in relativity and gravitation). Can somebody please explain the expression for the derivative of the solid angle ? here it is given as dvxdvy where the v's are speeds ! How come this is so ? Thanks,

S=kln(\frac{eq}{N})N --->= S=Nkln(\frac{q}{N}+1) i understand that the e goes away and the N exponent comes down but where does the +1 come from?

[solved]Find volume of solid generated (Calc 2) Find the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve y=e^x, and the line x = ln 2 about the line x= ln 2. So I tried graphing it to see visually, and the expression I got...

It should for nitpicky convenience's sake, be pointed out that unless the point we choose to calculate the moments around is the C.M of the rigid body, or that the the point moves parallell (including being at rest) to the motion of the C.M, we get an additional term on the RHS.

Here is the question: I have posted a link there to this topic so the OP can see my work.

Homework Statement Show for a solid spherical ball of mass m rotating through its centre with a charge q uniformly distributed on the surface of the ball that the magnetic moment μ is related to the angular momentum L by the relation: \textbf{μ} = \frac{5q}{6mc}\textbf{L}Homework Equations μ...

reference to Feyman lectures vol.1 topic 19.2 locating centre of mass Feyman gives us the law of pappus to find the centre of mass ,which he proves for semicircular disc and ring. But when i am trying to extend it to finding the centre of mass of a solid semi-circular solid hemisphere ,i...