Mechanics Definition and 999 Threads

  1. Sebastian_

    How to study Mechanics, and what after it?

    Summary: (TL;DNR) What subject should I study next in the realm of physics, considering I am a beginner Hello I am visiting this forum because as a young kid that is trying to learn physics without a proper teacher I am quite lost. Not as in I don't understand the material, its more so I don't...
  2. M

    Conservation laws in Newtonian and Hamiltonian (symplectic) mechanics

    In Newtonian mechanics, conservation laws of momentum and angular momentum for an isolated system follow from Newton's laws plus the assumption that all forces are central. This picture tells nothing about symmetries. In contrast, in Hamiltonian mechanics, conservation laws are tightly...
  3. M

    I Why does quantum mechanics believe that gravity is a field?

    According to general relativity, gravity is simply the side-effect of bending the geometry of space-time. As a thought experiment imagine a 3D image being projected from a 2D hologram - the distance between the actual 2D pixels in the 2D plane always remains constant, yet depending on the shape...
  4. Vicol

    Probability density function in classical mechanics

    Probability density function plays fundamental role in qunatum mechanics. I wanted to ask if there is any analogous density function in classical mechanics. Obviously if we solve Hamilton equations we get fully deterministic trajectory. But it should be possible to find function which shows...
  5. V

    Is Newton I independent of Newton II?

    If Newton II is defined as ##\sum F = \dot{p}## and ##p = mv##, why do we consider Newton I as a separate law for cases where ##\sum F = 0##? Is Newton I really independent of Newton II?
  6. T

    I What makes the interpretations of Quantum Mechanics so important?

    How valid is the statement "It means physics is ultimately concerned with descriptions of the real world" in the realm of QM? Heretic question, what is "real" besides the outcome of the measurement?
  7. A

    I Understanding Operators in Matrix Mechanics

    I'm trying to understand some notes that I have been given on Matrix Mechanics, specifically how the matrix element comes about and builds a matrix which when used applies the effect of an operator on a wavefunction. But I'm having some difficulties following what's being done in the notes with...
  8. adosar

    I Momentum operator in quantum mechanics

    The momentum operator for one spation dimension is -iħd/dx (which isn't a vector operator) but for 3 spatial dimensions is -iħ∇ which is a vector operator. So is it a vector or a scalar operator ?
  9. M

    A Is time irrelevant in quantum mechanics?

    Could one come to think that time is irrelevant in quantum mechanics? we know that the QM equations are written with the time variable, (schrodinger equation). Yet everything suggests that time is irrelevant, as the search for loop quantum gravity seems to indicate
  10. V

    Basic fluid mechanics questions about an oceanography paper

    Problem Statement: There is no precise problem statement since it's an homework to be done independently, but I will try my best to explain it concisely (I also apologize for my mistakes in English) : I want to reproduce the simulation of the model presented in the pdf file attached to this...
  11. A

    Solve Mechanics Problems: Find Time & Displacement Relation

    First F=m(x+2) Initial velocity is 2m/s find the relation between the time and displacement Second F=m(2v+3) Initial velocity is 3 m/s Find v(t) Please help me I tried but I can't finish it
  12. D

    Quantum Should I Get Both of Dirac's Quantum Mechanics Books?

    Hello, I remembered once hearing of a must-have quantum mechanics book by Paul Dirac. I don't remember if it was his Principles of QM or Lectures on QM. Based on the table of contents, I believe it was the Principles of QM book; however, looking at both I was thinking about getting his Lectures...
  13. A

    Torque: find the force necessary for a body to be in equilibrium

    The question doesn't specify whether we're talking about translation or rotational equilibrium, so I suppose it's both: In order for the body to have translational equilibrium: 60 N + F2 = 0 F2 = -60N However, in order to have rotational equilibrium: 60 N * 3m + F2 *8 m = 0 60 N * 3m - 60 N...
  14. W

    I Relativistic Quantum Mechanics & Localized Particles

    A lecturer today told the class that relativistic QM for single particles is flawed by showing us that for a state centered at the origin, it was possible that ##Pr(\vec{x}>ct)>0##. He said that this was down to the fact that we should be considering multi-particle states in relativistic...
  15. A

    Compound lever arm - compressor design

    So what comes to mind is utilising the full height and further node points in a triangulated system... however being only just now introduced to the concept of a compound lever I am unsure of how to get this system to work. Any thoughts much appreciated.
  16. L

    I The Cellular Automaton Interpretation of Quantum Mechanics

    Why aren't you guys discussing this? http://de.arxiv.org/abs/1405.1548 The paper is 259 pages. And it will take me a year to read it. The Cellular Automaton Interpretation of Quantum Mechanics doesn't use any wave function. Just please tell me. How does it explain for example the double slit...
  17. patric44

    Quantum What is the most suitable Quantum Mechanics book for these questions?

    i want to know what is the most suitable quantum mechanics that will enables me after studying it to answer these specific questions ? i mean based on the hardness of these questions ( what book would you suggest to study these subjects ) . and by the way what is the level of these QM questions...
  18. M

    Fluid Mechanics problem: Oil pressure calculations in pipe flow

    Problem Statement: An oil with density 900 kg/m3 and viscosity 0.18 Ns/m2 flows through a circular pipe which inclines upwards at 40° to the horizontal. The length of the pipe is 10 m and the diameter is 6 cm. The fluid pressure at the lower end of the pipe is 350 kPa and the pressure at the...
  19. hilbert2

    A Summation formula from statistical mechanics

    I ran into this kind of expression for a sum that appears in the theory of 1-dimensional Ising spin chains ##\displaystyle\sum\limits_{m=0}^{N-1}\frac{2(N-1)!}{(N-m-1)!m!}e^{-J(2m-N+1)/kT} = \frac{2e^{2J/kT-J(1-N)/kT}\left(e^{-2J/kT}(1+e^{2J/kT})\right)^N}{1+e^{2J/kT}}## where the ##k## is the...
  20. eliUCV

    I Quantum Mechanics, The Delta-Function potential

    Hi, I have a question, why when we study the Delta-Function Potencial we can treat with ##E < V##, since the following relation says ##\frac{d^2 \psi}{dx^2} = \frac{2m}{\hbar^2} (V - E) \psi## And do not allow it? or it is just ##E <...
  21. greenrichy

    Reasons for a gain of momentum during a collision

    I've come up with the following causes: - air resistance - parallax - during the collision, some of the kinetic energy gets converted into thermal energy. - invisible deformations But I'm not sure which would be the biggest effect on the total momentum change. Are there any other reasons that...
  22. greenrichy

    Centripetal force while a car makes a turn

    Correct me if I'm wrong, but I think it is not possible to solve (1) with all the data that's given. As for (2), I have come up with the following solutions: (a) - The tension in the string acts as the centripetal force on the fuzzy dice (b) - The frictional force between the road and the car...
  23. Benjamin_harsh

    Do these words have same meaning in Newtonian mechanics?

    Are this 2 words have same meaning in Newtonian mechanics: More than 2 non-parallel forces and Coplanar Concurrent Force System?
  24. EEristavi

    Rotational Motion / Static Equilibrium - Mechanics

    I have a solution, However Cant understand 1 point.Now, This is the solution: ##N_2 l cos\theta + \frac 1 2 F_g l cos\theta - f_2 l sin\theta = 0## ## N_2(1 - \mu tan\theta) + \frac 1 2 F_g = 0## This is the the point that I don't like - yes it is less that 0, but it's even less that...
  25. R

    I Question About The Role of Observation in Quantum Mechanics

    In the double-slit experiment when a detector was placed before the two slits, a 2 strip pattern was produced after the two slits. When there was no detector placed before the two slits, a different pattern was produced after the two slits. Why does the presence of a detector before the two...
  26. A

    Modern uses of classical statistical mechanics?

    Most of the cases when I see applications of statistical mechanics is when Fermi-Dirac or Bose-Einstein statistic are used in condensed matter or the equilibrium equation of neutron stars. Besides the Poisson-Boltzmann equation, I would like to know what are the modern...
  27. L

    Possible Error in Goldstein's Classical Mechanics 3rd Edition

    1st page of Chapter 7, p.276, very last line, p=p'. I get that in Newtonian mechanics, the forces, times and masses are the same in two different inertial reference frames, but shouldn't the momenta measured be different?
  28. K

    Finding the depression and the tension of the string

    I would assume that all the tension in the wire originates from the weight of the mass, and is equal to ##T=mg##, but that is incorrect. Forming a right triangle with a hypothenuse denoted by ##x## and applying Pythagoras theorem: \begin{cases}x^2=y^2+l_o^2 \\ x+y=l_o+\Delta l\end{cases} Solving...
  29. A. Neumaier

    I How Does Quantum Gravity Influence Our Understanding of Quantum Mechanics?

    See Peter Shor's comments here and here and Urs Schreiber's comments here.
  30. J

    A Does the effective action make sense in Quantum Mechanics?

    I think the effective action should make sense also in Quantum Mechanics, not only in QFT. But I have never seen described in a QM book as such. Could there be a QM book that uses effective actions? Or maybe in QM effective actions are called another name? I think effective actions in QM could...
  31. M

    Calculate the tension in a rope attached to a ball in circular motion

    The solution to the problem simply states: "Use of mv^2/r = 2000. T = (2000 + 7500) = 9500N". I don't understand this solution. Nothing more is provided. I don't know how you are supposed to find the radius (in order to use the centripetal force formula) merely from the information provided...
  32. A. Neumaier

    I The Philosophy of Quantum Mechanics

    I'd like to point to the book The Philosophy of Quantum Mechanics by C. Friebe et al., Springer 2018. It contains many topics usually underrepresented in foundational discussions of quantum physics, in chapters on many-particle systems and quantum field theory. It also has in its last chapter a...
  33. P

    Extra speed necessary to orbit at 970 km

    So using conservation of energy where v0 = 7000 m/s $$ K_{i} + U_{i} = K_{f} + U_{f} $$ $$\frac{1}{2}mv^{2}_{0} - \frac{GMm}{R} = \frac{1}{2}mv^{2} - \frac{GMm}{r}$$ where R = the radius of the Earth and r = the distance from Earth's center plus the height its orbiting $$v =...
  34. A. Neumaier

    A Jürg Fröhlich on the deeper meaning of Quantum Mechanics

    I'd like to draw attention to a very recent paper by Jürg Fröhlich, a well-known mathematical physicist from the ETH Zürich. It starts out as follows: Section 2 is titled ''Standard formulation of Quantum Mechanics and its shortcomings''. Surely @vanhees71 has very convincing reasons why this...
  35. Terra_Bitz

    Structural Mechanics Distinction Task

    To find axial load , 5m / 6m = 0.83 Arc tangent , tan-1(0.83) = 39.69 Cosine of the force , Cos(39.69) = 0.77 Sine of the force , Sin(39.69) = 0.64 Axial load in the vertical direction , (200kN/m X 6 = 1200kN / 2 = 600kN + self weight of 6kN = 606kN) So 606kN X 0.77 = 466.62kN Axial load in the...
  36. Hawkingo

    I What is the failure of superposition in quantum mechanics?

    In a book it says that "we know of quantum phenomena in the electromagnetic field that represents a failure of superposition,seen from the viewpoint of the classical theory." I want to about what quantum phenomena is he talking about? This was from the page 11 of the book Electricity And...
  37. T

    Mechanics question (vector descriptions of two birds' flight paths)

    Part (a) was fine. For part (b), I started off with finding the position vector of bird A and bird B after 4 seconds, and this was: Position vector of A after 4 seconds: -4i + 11j Position vector of B after 4 seconds: (-8 + 4p)i + (9+8p)j But after this I'm lost. Usually I'd have some idea...
  38. J

    A What does "solving a quantum mechanics problem" mean?

    In analogy to classical mechanics, I thought a good definition to "What does "solving a quantum mechanics problem" mean?" was to give the propagator (aka the Green function, or the 2-point correlation function): In classical mechanics, solving a problem means to give the path of the particle...
  39. S

    Rotating Sphere: Conceptual Question

    As shown in figure there's a homogeneous solid sphere. It is rotating about axis which is passing through point P directed perpendicular to the plane of paper. (In short like a pendulum). I'm neglecting gravity and assuming a force F which is directed perpendicular to the string. (The string...
  40. M

    Mechanics of Solids - weight problem

    Summary: How much weight can the bars support? Three one-meter-long bars with cross-section area A = 1 square centimeter support a rigid plate of weight W. For steel, E = 200 GPa and S = 400 MPa. Determine the maximum weight W the bars can support for three cases: (i) all three bars are...
  41. Kasiopea

    Determine the forces exerted by the supports on the pipes at contact s

    I tried to solve it and I got that the forces on the cylinder A are: F_1= 58.8 and F_2=58.8 Cylinder B are: F_3=117.6 and F_4=117.6 Cylinder C are: F_5= 58.8 and F_6=117.6 Can someone help me with this?
  42. Clout

    Fluid mechanics - pump in a horizontal pipe connecting two pipes

    So when the velocity of v1 and v2 is 0 (because the tanks are much bigger), the bernoulli equation to dh is dh = (dp-dpl)/(rho*g) with dp = Phyd / V = 1000W / 0.01m³/s = 10^5 Pa and rho = 1000 kg/m³ So I am getting first without the pressure loss on the orifice dh = 10^5 Pa / (1000 kg/m³ *...
  43. K

    Structural mechanics: Distributed forces on a structure

    Problem Statement: What's your result of ##X_A##? I find mine is different from the standard answer. Relevant Equations: My answer for $$X_A =5 kN$$ Problem Statement: What's your result of ##X_A##? I find mine is different from the standard answer. Relevant Equations: My answer for $$X_A...
  44. T

    Graphene and Newtonian mechanics

    I am writing a paper for "Dynamics and statics" course. I am really interested in Graphene. I am not if this is a good topic for this specific course. Any suggestions? Thank you in advance
  45. O

    Clearing a wall with a golf shot

    Every trajectory follows a parabola if we neglect air resistance. So we can calculate the maximum distance in x direction s_max. Also we can determine the time it takes to hit the ground again t_max. If the ground is everywhere the same height, I can assume that at t_max/2 the height (s_y) is at...
  46. J

    Simple clarification regarding the sign convention for work

    Precursor : Sign conventions regarding Work by the system/on the system may even vary among Physics textbooks and among Chemistry textbooks and as a rule of thumb it is better to clearly mark out the convention used by the text being referred to specifically and remain consistent with it...
  47. A. Neumaier

    I Numerical simulations in Bohmian mechanics

    With respect to the following posts from a now closed thread, https://www.physicsforums.com/threads/copenhagen-restriction-on-knowledge-or-restriction-on-ontology.968982/post-6169047...
  48. tonnijames

    Simple mechanics question: will reading of the scale change?

    My reasoning is that 1)at initial condition, net force of stick on the beaker is equal to the weight of the weight minus the buoyant force applied by the water to the weight, which is the tension force in the string. The recorded weight should be equal to mass of beaker + water + net force of...
  49. bardia sepehrnia

    Time needed for a Force F to accelerate the crate to 2m/s? (Dynamics)

    So above is the question. The picture below is my attempt at the solution: However the answer at the back of the book suggest that T=1.929s
Back
Top