In Lagrangian Dynamics, I assume that generalized forces of constraint are applied at the location of the corresponding generalized coordinate. I don't recall seeing anything explicit about the point of application in the text.
If an object moves in such a way that the point of application remains fixed then what can be commented on the work done by the force? (only qualitative analysis required)
Homework Statement
Estimate partial pressure of nitrogen in atm in a room where you are at this moment. Use an ideal gas approximation and assume that air is composed of only nitrogen and oxygen. Show how you arrive the final answer in detail.
Homework Equations
pv=RT, while p stands for...
If ## f\in L_{p}^{\rm loc}(\mathbb{R}^{n}) ## and ## 1\leq p<\infty ##, then a stronger version of Lebesgue differentiation theorem holds: $$\lim\limits_{r\rightarrow 0}\dfrac{\|f\chi_{B(x,r)}\|_{L_{p}(\mathbb{R}^{n})}}{\|\chi_{B(x,r)}\|_{L_{p}(\mathbb{R}^{n})}}=|f(x)|$$ for almost all ##...
Homework Statement
I want to prove that the span of $\{x^{2n}:n \geq0\}$ is dense in $C([0,1])$.
Furthermore, that the closure of the span of $\{x^{2n+1}:n \geq0\}$ is $\{f \in C([0,1]):f(0) = 0\}$.Homework Equations
Is my solution correct?
Now I do not know how to tackle the second part...
Homework Statement
Two pieces of copper weighing 10 grams each are 10 cm apart and 1/1000 electrons are transferred from one to the other. Find the force of electrostatic attraction between them.Homework Equations
[/B]
Molar mass Cu: 63.5 g/mol
\frac{1}{4\pi \epsilon_0} = 9 \times 10^9...
I am working on fixing a heavy walnut cedar chest lid that has bowed convexly from the chest. It is about 1/4" high in the center of a 24" deep lid. The lid is ~2' x 5'. It is made from 3/4" walnut with 3/4" x 3" ribbing on the top.
I thought that adding in some C-channel or square tubing would...
Hi all! I have been accepted by a university and have been given the second round interview question.
However, I am pretty stumped as to how to answer it. Here's the question:
Please answer the following question. Your answer should be handwritten on no more than three (3) sides of A4 paper...
Hey, if anyone is well-versed or experienced in the field of aviation, what is the application of physics to the day to day job of an airline pilot? Specifically a pilot for commercial flight. Not exactly career-advise but it didn't fit the other categories either.
Any help would be appreciated.
Hello everyone!
My question is:
Where is sum of divergent series and divergent integrals used in physics? What it all means? Where can I find examples of divergent integrals? Is there a book of problems for physicists?
I am mathematician. I developed a method for summing divergent series...
Hi there,
I'm trying to brush up on some of my E&M and am comparing treatments of Coulomb's Law in introductory calculus-based texts with higher level material. My understanding was that Coulomb's Law (and by extension, calculation of the electrostatic force on a charged particle using F = qE)...
As part of a wire manufacturing process, heavy wire coils are being sprayed with oil to prevent corrosion. Final step is to have these coils dripped to eliminate oil excess.
Basic question is; if I where to build a vibration platform/table to do this dripping, what would be a good consideration...
Is there any application of maths in music, which topic is directly used. I've heard group theory is used, but how it is used. Plz help..i m going to work on a project that will show how maths works in music or sound system.
Homework Statement
A rectangular coil with a and b sides can rotate around the axis AA' with angular velocity ω. It is in a magnetic field as in figure.
Calculate the flux of B when the coil is orthogonal to the axis AA'. Calculate the \epsilon_{max} and express the position of the coil...
I am not quite clear on the use of Fourier series to solve the Schrodinger equation.
Can you point me to a source of some simple one dimensional examples?
Homework Statement
Light with wavelengths of 520 nm and 630 nm passes through a diffraction grating that contains 6000lines/cm.
a) Sketch a diagram of the image produced from m = 0 to m = 2. Label the order of each fringe.
b) Calculate the angles for the first and second order maxima that would...
Homework Statement
Homework Equations
The Attempt at a Solution
I have tried manipulating the equation a few different ways, but the Euler-Lagrange and the one I'm supposed to show for a) is so different that I just can't seem to work. Can someone please point me in the right...
Homework Statement
Let f: R -> R be a function such that \lim_{z\to 0^+} zf(z) \gt 0 Prove that there is no function g(x) such that g'(x) = f(x) for all x in R.
Homework Equations
Supposed to use the mean value theorem. If f(x) is continuous on [a,b] and differentiable on (a,b) then...
Hello everyone:
I'm confusing with the construction and application of dyadic green's function. If we are in the ideal resonant system where only certain resonant mode is supported in this space (such as cavity), the Green's function can be constructed by the mode expansion that is:
Gij(r,r')...
Is there anything an aspiring physicist can do that they can put on an application that would stand out? I've heard of people building their own particle accelerators, but what would you suggest?
I was wondering if applying to the summer or winter semesters in European countries (esp. France and Germany) would affect my chances of being accepted in the physics fields.
Hello Everybody,
Im a third year MechE student and I am focusing my studies on thermodynamics and control theory. I am getting really deep into the controls right now and after taking some introductory courses there are so many things that puzzle me even though I understand the actual theory...
Homework Statement
A player hits a volleyball when it is 4 ft above the ground with an initial vertical velocity of 20 ft/s (equation would be h = -16t2 + 20t + 4). What is the maximum height of the ball?
Homework Equations
quadratic formula
The Attempt at a Solution
t = -20 ±√202 - 4(-16)(4)...
hi! i don't quite know how to start solving for this. i understand the problem and what it's asking for but i have no idea how to start solving for it.
In a volleyball game, a player from one team spikes the ball over the net when the ball is 10 feet above the court. The spike drives the ball...
1.
To carry out a materials selection exercise for a military/surveillance portable infrared imager tripod. The exercise will be carried out by means of any legal and valid technique possible and applicable, including (but not withstanding) techniques described in lectures, textbooks &...
Should the project name of my Java application must be the same as the name when I save my Java application? Because I'm using Netbeans IDE 8.0.2 and in the project name field, I put First Java Program and after I wrote the Java application, when I save it, I put GetStarted.java in the save as...
Hey!
I have to do a work about one of the many applications of mathematics. I have to study the math behind a certain subject and use MATLAB to solve some kind of problem associated with the topic.
I am on the final year of graduation and I thought of doing about optics, fractals, relativity or...
Hello, all!
I am a junior at a small-ish school, and I have just decided to change my major from a B.S. in physics education to a B.A. in physics. I have a strong physics background (All A's and one B+ in my physics classes, all A's in math), and I've taken all of the lower-level physics...
The reason why we see white light is because we see all the light in the visible lights spectrum.
So let's say I have a light bulb that gives out white light, the reason why it gives out light its because it keeps emitting a constant amount of energy. By E = hv, we should only be able to see...
I want to apologize if this topics already exists somewhere on the forum. Most google/forum searches usually have people asking about experiment to theory , or switching fields after PhD.
I recently submitted a grad application and I still have a lot more to do. My research background in...
Homework Statement
There's a straight wire through which passes a current of 48.8A.
There's an electron moving with velocity 1.08x10^7 m/s at distance 5.20cm from the wire.
I have to calculate the magnetic force on the electron when:
a) the velocity is directed perpendicularly to the wire
b)...
Hi everyone. I recently finished a first draft for a statement of purpose for CalTech (I know, I know - I figured it would be the first one I draft - I have others I will be modelling off of this one soon enough), and I have a few (well, maybe more than a few) concerns about how I wrote it and...
Homework Statement
dx/dt= -x2-2x(1+t+t2)
x(1)=2
estimate x(1.2) with h=0.2
Homework Equations
Implicit Euler:
I was taught that we must solve for yk+1 using Newton's method:
This doesn't seem like it will work because Newton's method assumes a function of only one variable.
According to...
This is a question I have always wanted to ask but was too nervous to.
I am currently a EE and Math dual major at an engineering university. I really like EE and thoroughly enjoy the subject and the physics behind it. However, I noticed during lab I tend to struggle more than the other...
Homework Statement
Superman must stop a 120-km/hr train in 150 m to keep it from hitting a stalled car on the tracks. If the trains mass is 3.6 x 10^5 kg, how much force must he exert?
Vi = 33 m/s (120 km/h)
Vf = 0 m/s
Displacement (Xf - Xi) = 150 m
M = 3.6 x 10^5 kg[/B]Homework Equations...
Just a quick question. I've recently thought about the various equations I'm learning about calculating velocity or vertical motion and have wondered that sense these equations are using Gravity as a constant force (9.8m/s^2) Is it not true that Einsteins' theory would denounce this idea and...
I just took my GRE today and I must say I did very mediocre on it. I did not fail but did mediocre. If one looked at my score they would never guess I';m a physics major. I got 156 in both verbal and quantitative. On my physics GRE I'm probably going to get in the 70 to 80th percentile.
My GPA...
Unless otherwise stated, all objects are located near the Earth's surface, where g = 9.80 {\rm m/s^2}.
A person has a choice while trying to push a crate across a horizontal pad of concrete: push it at a downward angle of 29∘ , or pull it at an upward angle 29∘.
If the crate has a mass of...
We read that the a couple is a free vector, i.e it does not depend on the point of application.
However, please consider the following example: If you apply two equal magnitude forces anti-parallel to each other, one on each side of the wheel, a couple is formed, and so the wheel will rotate...
Hello all, I am a high school senior applying to college this year and have a question.
Like many others on these forums, I have done a lot of self-studying of physics in my spare time, purely out of interest.
How should I include self-study on a college application, and for for those you who...
Hello
I am working on vehicle, for which i need to calculate following things
1. Required torque (Nm) to move vehicle from stationary position?
2. RPM of the engine at the time of torque mentioned in point number 1?
Available Input:
1. Vechile Weight(kg) - 4300
2. Engine Displacement - 3455
3...
Given the differential equation y'=4x^3y^3 with initial condition y(1)=0determine what the existence and uniqueness theorem can conclude about the IVP.
I know the Existence and Uniquness theorem has two parts 1)check to see if the function is differentiable and 2)check to see if \frac{\partial...