Analytical Definition and 260 Threads

This is stuff I do in order to understand analytical mechanics better, I encounter the followin thing: \frac{\partial L}{\partial \dot{\phi}} = \text{?} Where \dot{\phi} = \frac{\partial \phi}{\partial q} \frac{dq}{dt} = \frac{\partial \phi}{\partial q} \dot{q} I should know this! It is...

I will be picking my Spring courses on Monday and I just want to know which class you would recommend me taking first: analytical chem or physical chemistry? does it matter which I take first? I will have to take physical chemistry 2, so should I take physical chemistry first because of that...

Analytical Solution to this? -- linear system of ODES Hi All, It's been awhile since I've even attempted to solve something analytically, so before jumping back into the text. Does the following already have a common solution that I can find somewhere? Thanks, dx1/dt = A1 + B1x1...

I am currently taking an Analytical Chemistry class which has labs in it. I did my first one last week and it wasn't so bad - I still have one more week to finish up my lab write up. This week though we are doing another lab, and my hopes are that I can prepare myself better for this week. I...

Hello all. This fall I'm applying to several colleges, the top two of which are Bennington College and Wesleyan University. I'm fairly certain of acceptance to both but as a part of the admissions process I need to submit an analytical paper, passed in and graded by a teacher. Since I wish to...

Can someone please help me with this back tritration problem! a 100.0 ml sample of spring water was treated to convert any iron present to Fe2+ (AW 55.847) Addition of 25.00 ml of .002107 M K2Cr2O7 (FW294.185) resulted in the reaction: 6(Fe2+) + (Cr2O7)(2-) + 14H+ _____6(Fe3+) + 2(Cr3+) =...

Homework Statement Key in writing if possible f (z) with Onley z this mean We can get rid z bar be variable in terms of analytical Is there a theory or conclude that Ithbt Where was this idea Or is the only conclusion

Hello all Can anybody see a way to analytically find x in the expression: cos(x) = exp(-2x) By inspection x=0 is obvious, and numerically we find x=1.5232 is also a solution, but is there a way to find these values by rearranging the above expression? It's one of those that looks simple...

This is the problem: You are doing a typical AA ( atomic absorption spectroscopy analysis) What you don't know is that the standard calibration curve is incorrect you have made your concentration twice as concentrated. For exable you believe that you have 2,4,6,8 ppm but actualy you have...

They say this is just by chance. But maybe some bright spark has come up with a mathematical derivation for it? Alternatively, what about simulating the cloud of the early solar system on a computer. Would the Titius-Bode pattern of the planet distances arise? Here's the law...

A complete set of lecture notes for an upper-division classical dynamics course. The course concentrates on those aspects of classical dynamics which can be studied analytically. Topics covered include oscillations, Keplerian orbits, two-body scattering, rotating frames of reference, rotation of...

It may seem that I will be taking an analytical chemistry course for my major in Biotechnology, and I have never really taken an analytical chemistry course. I have probably studied the topics in regular chemistry courses but I am unaware as to what exactly this course teaches or the topic(s) it...

Hi All, I have been given this example and am trying to explain. \int_{0}^{1} {x^2} dx Solve this integral with respect to the definition of the defined integral. Homework Statement (1) Let P_{n} be the partion of the interval [0,1] into n equally sized sub-partions...

An analytical approach to the differential equation(urgent) Homework Statement (1) Given the function f: t \mapsto |t|, show that the function f is a differentiable function where t \neq 0 and write f's the differential coffiecient. 2) Given the function g: t \mapsto \sqrt{t^2}, show...

I am currently taking the second semester of a 2 semester course in Mechanics. We are using the book, Analytical Mechanics by Fowles and Cassiday. This book is okay, but I'd really like to find a used secondary mechanics book with more explanations and problems to solve. Can anyone recommend...

Hi, I'm trying to find an analytical solution of Laplace's equation: \phi_{xx} + \phi_{tt} = 0 with the tricky boundary conditions: 1. \phi(x=0,|t|>\tau)= 0 2. \phi(x\neq0, |t|>>\tau)=0 3. \phi_{x}(x=0, |t|<\tau)=-1 4. \phi_{t}(x, |t|>>\tau)=0 I have the following ansatz(I...

So, here's the motivation to my problem: I have this following equation: P(u) = \frac{u^n}{1+u+u^2+...+u^n} , 'n' being a given constant. I figured out that I could simplify the power series on the denominator, and get a better solution for P(u): P(u) = \frac{u^n-u^{n+1}}{1 - u^{n+1}}Now...

I just got my Analytical Chemistry test grade. It's fine but not a great grade. Everybody thinks it was a problem of time constraint.I think it's because were given question types that are different from what is in our book. Around 70% is very acceptable. The rest is a complicated problem that...

Analytical Marathon?! After only two weeks of this semester, we have our first exam in analytical chemistry: 1- Definition of Analytical Chemistry 2- The expression of quantities and concentrations 3- Chemical Equilibrium & how its calculations can be applied to complex systems 4- Others...

I am taking a 1 semester analytical chemistry course with a tough teacher (according to her students), and I want to have the maximum preparation for this course through all the means available. PS: I am a biology student. Thanks.

Homework Statement See pdf - file Homework Equations See pdf - file The Attempt at a Solution See pdf - file Is it right so far? How can I proceed?

I have a couple ODEs that I need to solve. I was probably just going to put them into mathematica, but I like finding the analytical way also. The first one is \frac{d}{dx}\left( \frac{(y + \lambda)y'}{\sqrt{1+y'^2}} \right) = \sqrt{1+y'^2} Lambda is a constant and y' is dy/dx. I...

i am studing Analytical Mechanics in these days.it is really amazing. but a question pazzles me .it seems: to generalized coordinates q,δq is arbitrary,it can equal 0;while variation in the x-coordinate, δx is not. i just cann't understand

Analytical solutions of S.E. for "unusual" potential Hi, Given the potential V(x)=0, when x<0 (region I) V(x)=V_0, when 0<=x<=a, V_0=real constant (region II) V(x)=infinite when x>a (region III) What would be the general form on the solutions for each region? I...

Homework Statement What volume of 0.200M HCl must be added to 250.0ml of 0.300M sodium mandelate to produce a buffer solution with a pH of 3.37? Homework Equations The Attempt at a Solution For 2 and 3, can I use the equation pH = pKa + log [A-/HA]? but for HCl isn't that 100%...

Homework Statement Consider a point mass m moving under the influence of the gravitational force F= -mg e_y . The mass is constrained to slide along a given curve y= f(x) in the x-y plane. You may set z=0 from the start and consider two dimensional motion. c) A Skier descends a slope with...

1.a A hot air balloon drifts 12km in a direction 70 degrees South of East. An abrupt charge in air movement then comes the balloon 8.0km in a direction 40 degrees South of West. Estimate the record displacement from the starting position after the two drifts. (magnitude & displacement)...

hi every one I am new to here. I need a online addition of book "calclus and analytical Geometry" by Thomas finny. From where i can download it??

Analytical proof for better Visibility and contrast of interference fringes created by monochromatic light than white light. I know that there will be overlapping & ...the light fades on moving to extrmities...in case of white light...and there wil be a better contrast ...incase of...

As in the attached picture. A cylindrical shell with mass M can roll without gliding on a horizontal plane In the cylindrical shell a particle ,p, with mass m can glide without friction. At the beginning there is no motion and the angle to the particles position is \phi=\frac{\pi}{2}...

Hi, I am looking for books which discuss Mechanics at the same level as "Analytical Mechanics" by Fowles & Cassiday. If you know of any can you please help. Thank you.

Hi there, Before i state what my actual question is, let me give some background on some work i have done on this. I have been trying to solve the 0-D PRKE transient problem for a step and a ramp input numerically using couple of high precision methods. 1) Using MATLAB's inbuilt ode23s...

Hello all, I wanted to know if there are ways to find analytical solutions for a set of equations defined as follows: 1) x''(z) + B(y,z)*y'(z) + C(y,z) = 0 2) y''(z) + B(y,z)*x'(z) = 0 where ' represents derivative wrt z. and we need to determine y(z) and x(z). B(y,z) and C(y,z) are...

Even though it is uncommon to see questions asking for an analytical solution to equations of degree 3 or 4, they have been asked on the forum. It's also good to know how, in any case. Cubic : http://www.karlscalculus.org/cubic.html Quartic : http://www.karlscalculus.org/quartic.html...

(This is not homework, just part of a curious problem) Is there an analytical (non-numerical) method/way to evaluate \int\limits_0^{2\pi } {\sqrt {1 + \left( {h k\cos kx} \right)^2 } dx} ?

Can anyone recommend a good book on Analytical Geometry?

I am not quite sure how to start this problem: A bullet of mass m is fired from a gun of mass M. If the gun can recoil freely and the muzzle velocity of the bullet is v. Show that the actual velocity of the bullet relative to the ground is v/(1+b) and the recoil velocity from the gun is...

Let,s suppose we have the asymptotyc development of the integral: \int_{x}^{\infty}F(t)=g(x)[1+a/x+b/x^{2}+c/x^{3}+...] where a,b,c,.. are known constants and g(x) is a known function then you all will agree that this expression could be useful to compute the integral when x-------->oo...

I'm stuck on this problem: The initial conditions for a two-dimensional isotropic oscillator are as follows: t=0, x=A, y=4A, v=0i +3wAj (vector) where w is the angular frequency. Find x and y as functions of t. Where do I even begin with this problem. I take it A = constant. Can anyone...

Are there any analytical solutions to: ay''+bx^2y+cxy+dy=0 where a,b,c,d are constants and y(x) If so how would you go about it? Is there a website that teaches you how to solve these?

VECTORS..help please hi there i had these 2 questions that i wanted someone to please double chek for me.. Q1) Given vectors A= c i + c j + 3k and B= ci + j - 2k where c is any constant. a)Find a value of 'c' such that A is parallel to B?.. b)Find a value of 'c' such that A and B have...

Can anyone sugest some good site(s) where I can learn coordinate geometry?I really can't understand it at school.

I was wondering about what people consider good science based majors I want: A challenging degree(important) mostly based on independent work(pretty important too) Good job prospects and pay(not that important) analytical with theory and practice Logical and conceptual in nature. I...

Hi, Does anyone know a reason why \int_{-\infty}^{\infty}\cosh(x)^{-n}dx (n>0) can be evaluated analytically when n = 1,2,3,..., but only numerically when n is non-integer. I don't know if there is a "reason", but I'm using this result in a Quantum Mechanics project and it would be cool if I...

Thanks for integral, he made the potential.pdf analyse for an analytical mechanic but i still have 2 questions, 1- Why does the length up between the tengency point and top of (h) equals: \ell + r\theta ? 2- Why the kinetic energy here equals: T = \frac{1}{2} m(\ell + r\theta)^2...

Hi guyz, I taked the picture attached with my mobile directly from the book, please help me to find the weights of A,B (not masses), and the friction coefficient (f) for A on the Horizontel plane, and note, the rope isn't able to change lenght, System is static, A,B are equal, weight of K is Q...

Sorry for that title, but what can I say, I'm going to be mad to get the motion equation for some systems but always failing system 1: a rope rounded to a cylinder, the rope ends with a mass m and creating a pendulum with a maximum angle creating on a vibration \theta, the length of the...

Alright, this one is from my analytical chem. class and right now we're doing separations and all the calculations related (partition coefficients, etc.). Anyway, I'm having trouble with this one. It seems easy, but let me know what you think a good starting point would be... What total...

Is there any treatment of a general character about analytical continuations? They're largely used in physics and in a lot of mathematical tricks for calculate integrals, but I have never seen a general theory? Where can I find it?

im looking for an exact analytical solution for the following (1/alpha) * dT/dt = d2T/dr2 + (1/r)*dT/dr where d is actually dou(partial diff.) subject to the boundary conditions, a<=r<=infinity t>=0 T=Ts (constant) at t=0; -dT/dr + HT = H(Tf) at r=a; where H, Tf are...