Mechanics Definition and 999 Threads

I am going through this course on collision detection: https://siggraphcontact.github.io/ In this link is a PDF called course notes. Scrolling down to section 1.3, called constraints. In this section it is said that we can write bilateral constraints as ##\phi(\mathbf{x}) = 0## and unilateral...

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F =...

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to...

How does Engineering Mechanics books differ from physics majors' Mechanics books? Are there any topics which aren't covered in the physics curriculum? I plan on reading this summer some Engineering Mechanics book (Hiebler looks like sort of canonical for UG stuff). The best learning is by...

Suppose there is a disc rotating around axis through its centre, with force F acting on the rim. The equation of torque is simple, however, what happens if it is written about an arbitrary point on the rim? How can the angular acceleration about that point be understood? Do I have to transition...

I am Sojeong Ki from South Korea. I am studying The Theoretical Minimum by Leonard Susskind, and I joined this community to ask questions and receive answers to ensure that I am understanding the material correctly. And the part I am currently studying is Newtonian classical mechanics. I look...

Taking a course In quantum mechanics to review my old courses in physics, they are going to use landau books , should I also consider Griffith Best Regards H

Hello, a friend of mine asked me to create a mechanism for a tri-folding gate. The thing is: it has a peculiar sequence when it's opened and I'm really stuck thinking this mechanism. Is there a good book/source about mechanics where I can find inspiration? Thanks in advance

I was just skimming some reading on Bohmian mechanics and for some reason decided to check on Basil Hiley. He was co-author and close friend of Bohm. I just noticed he died a couple of weeks ago. He was supposed to hosting some event on Bohm's next month. Quite champion of the field. Hopefully...

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Let's construct a model: a small ball with mass m is thrown on a horizontal plane with a V, and the direction of the velocity makes an angle θ with the horizontal plane. What is the maximum height it can reach? (ignoring air resistance) We that the kinetic energy of an object will not be...

In Landau's mechanics book, I saw them argue that due to the homogeneity of time and space, the isotropy of space leads to the Lagrangian function depending only on v^2. But i want a mathematical proof for the Lagrangian function independent of position q, time t and velocity vector. Homogeneity...

TL;DR Summary: research question: “How does the Separation distance of permanent neodymium magnets (m) affect the Resistance torque (Nm) of a conductive disc spinning in between them?” The objective is to predict the relationship between Resistance torque that tends to slow down the disk and...

My name is aaron and im an industrial electrician with a background in mechanics. I study physics for fun, particularlly precession, and i also enjoy challenging modern concepts. After all everything is just a model. People probably thought the Wright brothers were crazy. Anyways, i think about...

I originally thought about working out the force F with which it pushes the water thru the tube using pressure, and after using impulse and momentum to get the initial velocity, but sadly it wasn't successful. If anyone can help, please.

I remember coming across a textbook (that is also mentioned somewhere here on this forum) that is old, out of print, and doesn't even use SI units (it uses CGS units as far as I remember). There are two points I remember: - It outlined the scientific process first. - Unlike modern textbooks...

Utdannelse i Mekanikk (phd). Leser på gravitasjonsteori ( generell relativitetsteori) i fritiden.

This is for a math report that I'm supposed to write, which means I'm not supposed to use conservation of energy. This makes life much harder... so please bear with me. I am interested to see how you'd solve this purely kinematically though (if it can be solved that way). Please tell me if this...

This is a basic conceptual question. Consider having a pulley mounted with identical mass of block A and B. If i pull the block A slightly by say 10mm, and then release it. Will these weights try to balance itself due to potential energy difference or will be in the same state?

Hello Universe, I am Benjamin (Ben) I am new to this forum. At first, I will just be nosey and read through the post to get a feel for the environment. I am open for any discussion about any subject. I keep an open mind about everything. Here are a few areas of interest I have but not limited...

I am trying to find a series of books that was very helpful for me during first year university. The first in the series is a Mechanics textbook. There are at least two others, one that introduces quantum mechanics. These books are known to be much more difficult that the usual Sears & Semanski...

I am confused about three things: (i) To prove that accelerations are same, in the book it is given: ##mg−T=ma_1## (for the block) ##mg−T=ma_2## (for the cylinder) ##(a_1 = a_2 = a)## And thus the accelerations should be same. I can see that the same forces are acting on the bodies and that...

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...

In the following thread: https://www.physicsforums.com/threads/particle-movement-in-quantum-mechanics.1054807/ the discussion established/confirmed that the matter of a particle’s continuity of movement in Quantum Mechanics QM is not a scientific question in QM, refer to PeroK post # 6...

So I do realise that this problem involves energy, I still wrote equations for forces acting on each block. I will assume coefficient of friction to be ##μ## for convenience. For block 1: ##F - kx - μm_1g = m_1a## For block 2: ##kx= μm_2g## I then wrote an energy equation assuming a velocity...

TL;DR Summary: Need some sources for Lagrangian and Hamilton Mechanics. I was looking through some of my physics books, and in one chapter they mentioned Hamiltonian and Lagrangian Mechanics, I thought it seemed pretty useful and looked into it some more. I noticed that these mechanics were...

For this problem, I took the moment about point B to 'get rid' of the tension force in the cables BA and BC. By doing this, I figured I could solve for the x and y components of the reaction force at D. From there, I could solve for the tension in BA and BC in the x and y and then solve for Dz...

For this one, am i supposed to use W = change in KE where i calculate work as ((F - friction - mgsintheta) times d), or am i supposed to do the change in -mgh plus Wfriction = change in KE (where if it is in this case, is the friction going to be a negative number?)

I am currently building a dynamometer to measure the power consumption and rpm of a mars prototype. The plan is to place each wheel of the rover onto a pair of rollers but I am currently struggling with determining the optimal roller separation. If they're too far apart, the wheel might not...

Classics ! James D. Bjorken, Sidney D. Drell - Relativistic Quantum Mechanics (1964) James D. Bjorken, Sidney D. Drell - Relativistic Quantum Fields (1965) Sold as a pair (reasonable infraction on the 1 book/thread guideline) Mint condition

Hello everyone, I'm trying to recall the title and author of a quantum mechanics textbook I read many years ago, likely a couple of decades or more. My local library had what I thought was a very good quantum mechanics book, which I worked through during the summer holidays after completing my...

For this problem, The solution is, I have a doubt about Step number 3 about boundary conditions. Someone maybe be able to solve that doubt? Kind wishes

Is it true that in any mechanical set-up, it is possible to predict the nature of Normal Reaction ( magnitude, direction, etc. ) without solving through the dynamical equations of motion and constraints for the set-up as Normal Reaction is completely unknown? I mean is it true that we can...

For a hammer all problems are nails, and for a signal processing animal like me, it is all about information :cool: The laws of mechanics limit the info needed to describe/define motion. The limited number of finite sized stable elements, built using smaller number of particles, limit the...

TL;DR Summary: How friction acts on a block moving down a slope moving side to side I found this problem, and I've also attached its solution. My question is, if the block wants to move down the slope, and also wants to move side to side and follow the movement of the plane - where does...

I found Physics Forums via Google search. I'm a Tanzanian citizen pursuing a bachelor's degree in Physics (minor in Economics) at The Open University of Tanzania. I'm a first year undergrad. I'm glad to be a part of a huge community of like-minded people. I'm especially passionate about...

https://www.feynmanlectures.caltech.edu/I_09.html

In the following diagram (from Taylor's Classical Mechanics), an inertial balance is shown. Intuitively, I totally understand that unequal masses would cause unequal accelerations and therefore rotational motion of the rod. However, how does one prove this mathematically? The first thing...

I am currently looking for a good textbook on Newtonian mechanics but am unable to find anything that suits my specific needs. I have already done an advanced high school mechanics course and would like to take a more sophisticated look at the subject over the summer, in preparation for a course...

The lowest two energy level corrections (l=0, s_{z}=-1/2 and l=0, s_{z}=1/2) are easy to work out since the eigenvalues are not degenerate and the unperturbed energy levels also happen to be eigenstates of H'. However I have three degenerate energy levels for the third eigenvalue of the form...

Next, we assume a solution in this form: Which simplifies (according to my notes) to this: In the middle equation, we have factorised out the F(t). My question is why is it wavefunction(x,t) rather than wavefunction(x). I first thought it was a mistake in the notes, but it uses the same...

My last thread had too many questions, so I was told to make a new one. The question in this thread does not seem the same as the ones in the last thread, but I supposed that this is the root of my problems, so I started here. Also I wasn't sure whether to put this in the physics section or the...

For this problem, My solution to (a) is, We have constraint ##x + y = L##. There are many places we could define our (x,y) Cartesian coordinate system. However, the most easiest I think for the problem would be to attach a ##x^*## and ##y^*## coordinate system at the COM of ##m_1##. We define...

I am not a mathematician but an Engineer-in-Training studying mechanics. That being said why does equation I-10 equal 1 when k equals i and 0 when k does not equal i?

Sakurai's Modern Quantum Mechanics is 1/2 of a very good graduate textbook. Unfortunately Sakurai passed away midway through writing it, and it is very obvious exactly where it swapped from their writing to just using their notes. The back half of the book, while by no means bad, is notably less...

TL;DR Summary: A force which stops a wheel/disc from rotating Hi! I made a problem myself inspired by a typical mechanics problem, where you have two equal forces acting on each end of a wheel/disc and a third one that is suppose to stop the wheel/dic from rotating. So let me get into the...

I suppose, anybody here knows about the Elitzur–Vaidman bomb tester and the counterfactual definiteness: https://en.wikipedia.org/wiki/Elitzur–Vaidman_bomb_tester https://en.wikipedia.org/wiki/Counterfactual_definiteness I have a question: can this experiment be performed at the level of...