When tires lock, the tires exert a forward force on the ground and the ground exerts a reaction force (kinetic friction) on the tires in the opposite direction. But if the car brakes slowly, the tires are still rotating and so they exert a backward force on the ground, and the ground exerts a...
I haven't tried anything yet as im stuck at interpreting what the question asks itself.
Firstly the only force acting on M1 support is the spring force (kx) why did it not move?
Secondly is the reason of it not moving the fact that is also pulling the string with the same force (kx) so it is...
How can friction be responsible for all of these: stopping, moving and also turning a car?
Does friction actually exist or is it something we assume because we don't know something about motion of objects?
I have read a lot of discussions about friction and now it is a cloud of mess in my...
I will ask a mathematical and a physical-cum-philosophical question pertaining to the fact that SO(3) is not simply connected.
Context
Classical rotations in three spatial dimensions are represented by the group SO(3), whose elements represent 3D rotations. Having said that, note that classical...
Hi, I would very much appreciate some guidance on the below.
Consider a one-dimensional world as depicted in the attached figure.
We have two (lets say positively charged particles enclosed by two conductor plates.
One plate is at ##x=0##, the other at ##x=L##. The particles are at ##x_1## and...
Determine the element ##Q_{11}## of the quadrupole tensor for a homogeneously charged rotationally symmetric ellipsoid,
$$\rho=\rho_{0}=\text { const. for } \frac{x_{1}^{2}}{a^{2}}+\frac{x_{2}^{2}}{a^{2}}+\frac{x_{3}^{2}}{c^{2}} \leq 1 $$
The formula is $$Q_{i j}=\int \rho(\mathbf{r})\left(3...
in the news
String Theory gets Competition: A New Attempt to Solve Physics' Biggest Mystery
Sabine Hossenfelder
based on
Jonathan Oppenheim, "A postquantum theory of classical gravity?",
Jonathan Oppenheim et al, "Gravitationally induced decoherence vs space-time diffusion: testing the...
I have some problems understanding the magic-tee. There is a configuration for the E and H arm, where the signal output is blocked. As far as I understand you should be able to set one arm to 0 and the other to 1/4 of a wavelength, so the reflected wave's phase will be shifted by pi compared to...
I was studying a derivation of noether's theorem mathematically and something struck my eyes.
Suppose you have ##L(q, \dot q, t)## and you transform it and get ##L' = L(\sigma(q, a), \frac{d}{dt}\sigma(q,a), t)##. ##\sigma## is a transformation function for ##q##
Let's represent ##L'## by...
TL;DR Summary: What would be the strongest material such pair of rods be able to punch through if the bottom of the rods was at 200 m from sea level and a platform with the strong material was at sea level, with 88,110 Kg on top of the rods?
The following is just for fun, it doesn't need to be...
So, first off, for the uninitiated, an O'Neil Cylinder is a megastructure meant to be a space colony for humanity to live in in an Earth-like "outdoor" environment free-floating in space (ie, not on the surface of any celestial body with any significant gravity). It is essentially a cylinder...
Three forces are applied to a wheel of radius 0.350 m, as shown in the figure. One force is perpendicular to the rim, one is tangent to it, and the other one makes a 40.0 degree angle with the radius, and a 10 degree angle with the horizontal.
a) What is the magnitude of the net force on the...
I hold my identification card on a low-friction surface by one of its edges. I slightly lean it, and it starts to fall. Before it falls over, I place my finger against the card, and this prevents it from falling all the way over. Then, I withdraw my finger without pushing or pulling the card and...
Consider ##n## moles of a gas at a constant temperature ##T##.
If we vary pressure ##P## and measure the corresponding values of volume ##V##, we can make a plot of ##P\frac{V}{n}=Pv## against ##P##.
This gives us some graph which has some form. Turns out that for a range of pressure starting...
I'm posting this topic after an invitation to do so. So considering that transcranial magnetic stimulation which operates in frequencies and therefore through EM induction can excite neurons, then can an EM wave also excite neurons?
Probably, my last question about isotropy. This is the last thing that I want to double check.
We know that mathematically, passive and active transformation are both the same. In passive, coordinate frame is moved and nothing else, while in active frame, objects are moved and coordinate frame...
I understand what is moment of inertia is, flywheel with more mass at the edge has more inertia than flywheel that has mass closer to center.
quote from link:https://decarreteres.wordpress.com/2019/04/24/chassis-engineering-polar-moment-of-inertia/
"
We will only consider the engine and...
In Classical Physics, when a charged particle oscillates, it emits an electromagnetic wave, and the frequency of the wave depends on the frequency with which the particle oscillates.
But in Quantum Physics, when an excited atom emits a photon, the energy of the photon depends on the amplitude of...
Wiki describes the PIGA, https://en.wikipedia.org/wiki/PIGA_accelerometer. I want to see if I have a basic intuitive understanding of how it works.
https://en.wikipedia.org/wiki/PIGA_accelerometer#/media/File:PIGA_accelerometer_1.png
Lets imagine that the device, as shown, is at rest on the...
TL;DR Summary: I am missing an algebraic step in the below described three-body problem, any help is much appreciated
Consider the following setup
where the distance between the masses are ##d##, and they exert gravitational force on each other. We want to find the angular velocity of the...
I might have some other questions related to this topic, but I will ask them in further replies.
Isotropy of space is explained such as it should look the same in every direction. It's not enough to imagine ourselves to be in the center of the sphere, because definition says that to call space...
I had an interesting thought.
Let's only look at the free particle scenario.
We derive euler lagrange even without the need to know what exactly ##L## is (whether its a function of kinetic energy or not) - deriving EL still can be done. Though, because in the end, we end up with such...
I often encounter the formula: I = (1/12)Mbh^2 when dealing with moment of inertia of rectangles and got confused when I was unable to get the same result when figuring it out with integration. It seems that the axis of rotation used is a line perpendicular to one of the bases and on the plane...
Recently I started making physics problems and I made one that I really like, but I would like some feedback from other people (how difficult it is, how enjoyable it is to solve this problem, what I could improve about it, etc). Here is the problem:
A cannon is fixed at height H relative to the...
While reading a similar and deservedly closed post a contradiction came to my mind. The supposed contradiction is related to Statistical Physics where my understanding is only conceptual so correct me where I might be wrong.
I remember reading that lightweight gasses can escape Earth's...
I set about trying to use HiPER Calc Pro on my phone to solve the integral for the Bessel function of the first kind and of order one, so that I could get the ordinate value for the first root of the function to 99 significant figures, then divide that by π to 99 significant figures, in order to...
To carry out the machinery of Hamilton's Principle though the calculus of variations, we desire to vary the position and velocity, independently.
We proceed by varying at action, and set the variation to zero (I will assume ONE generalized variable: q1)
In the above, I can see how we vary...
Trying to grasp the Landau's book and struggling here. (Attaching the image).If you multiply L by some constant and put it in in the Euler-Lagrange equation, motion equation won't be changed.
Q1: Though, what does he base his logic to say ##Lim L = L_A + L_B##. If we got 2 separated system, he...
Let's say I have a box with a partition dividing it into two halves. In one half, I have methane, in the other is pure vaccum. When I remove the partition, the methane will diffuse into the other half of the box and occupy the entire volume. This is the first case.
In the second case, the setup...
I want to create a set of planetary gears using a 3D printer and PLA material. I'm designing them with the help of Autodesk Inventor 2020 since my knowledge in this area is quite limited. The gear set consists of a ring gear, a sun gear, and 2 planet gears. The sun and the ring gear rotate in...
So this is a paper by Xavier Michalet and Shimon Weiss C. R. Physique 3 (2002) 619-644, showing that S/N ratio is given by equation (2).
This is a fairly famous comprehensive paper on fluorescence microscopy, where other references regarding the same topic show the same equation more or less...
Galilei transformations are a set of equations that describe how the coordinates of a point P change between two reference systems R, R' moving at constant speed v relative to each other. For example, when moving from the reference system R to R', the Galilei transformations are given by the...
so I was studying H theorem from Richard Fitzpartic's site.
https://farside.ph.utexas.edu/teaching/plasma/Plasma/node35.html
Given H,
they consider the following equation
and set the constants as
I want to understand how they got these particular values for a, b &c
can we consider the...
I want to use the Lagrangian approach to find the equation of motion for a mass sliding down a frictionless inclined plane. I call the length of the incline a and the angle that the incline makes with the horizontal b. Then the mass has kinetic energy 1/2m(da/dt)2 and the potential energy should...
Okay I’m assuming I have to use √1- v^2/c^2 multiplied by some coefficient of length but I don’t understand any of this and could really use help understanding the process and/or reference material that might point me in the right direction
Hi everyone,
I was looking to develop my physical insight when I encountered this book by Lewis Caroll Epstein. For the crosswind problem, I couldn't understand the author's explanation; in particular, his concept of "artificial wind," and the force being larger in this case than the previous...
TL;DR Summary: Questions regarding the book "Modern Classical Physics" by Thorne/Blandford
Hello,
I'm going through this book and on pg. 127, regarding equations of state, there is a parameter, t (explicitly stated: "not to be confused with time"), that uses hyperbolic functions to relate the...
Is there any use for this concept in classical branches of physics? Can it be of any help for a physicist in resolving problems (or, at least, in resolving them more efficiently when compared with traditional methods)?
The word «classical» means exactly that, i. e. mechanics, hydrodynamics...
Homework Statement:: Sand is rough and black so it is a good absorber and radiator of heat depending on temperature.
During the day, sand's radiation of the sun's energy superheats the air and causes temperatures to soar. But, at night most of the heat in the sand quickly radiates into the air...
The question I have is that if the aero plane is traveling in the same direction as the wind, would it not increase its velocity, as in with boats and streams? So, if by chance, ##w = v##, then the velocity of the aero plane would double. It feels weird as going by the same logic, if the speed...
Can someone please tell me what is Classical Physics?
Does Kinematics in One Dimension such as in Physics textbook is considered a "Classical Physics"?
Looking for some guidance on how to set up the equations for a projectile intercept given that you have perfect information about the target velocity, size and weather conditions in a 3D scenario, it's for an amateur videogame that I'm developing in my spare time
For simplicity sake let's...
dP = F dt
dE = F dr
or if we introduce ds = (dt, dr)
(dP, dE) = F ds
And both dP and dE are constant in closed system.
Some questions:
- How does its implies on definition of Force?
- Is there some clever geometrical interpretation of Force?
- Why P and E seems almost interchengable?
In my book, the potential gradient for a charge placed anywhere in space is defined as: E = -V/r
HOWEVER, for parallel plate (capacitors) the potential gradient is defined as E = V/d (V being the potential difference). How come there's no negative sign for the potential gradient of the parallel...
^ :wink: The title is pretty self-explanatory, wondered if people would like to share some fun problems that you can snuggle up to on a cold Winter's evening? Any difficulty level, but bonus points for problems which yield to elegant and/or creative solutions!
Here's an example:
Hi everyone. I'm a new member, great to be here:)
I have a few questions that I wanted to ask you guys regarding the method by which we implement the Runge-Kutta approximation of Projectile Motion if we should do it using a numerical iterative method with a Spreadsheet like Excel.
I have...
In Rigid body rotation, we need only 3 parameters to make a body rotate in any orientation. So to define a rotation matrix in 3d space we only need 3 parameters and we must have 6 constraint equation (6+3=9 no of elements in rotation matrix)
My doubt is if orthogonality conditions...