Classical mechanics Definition and 1000 Threads

  1. Brahmajala

    Classical Mechanics: Understanding Calculus & Linear Algebra Use

    So hi everyone, I'm a freshman in Physics and in a couple weeks I'm going to start my second semester, with Chemistry and two exams of Classical Mechanics (Theoretical and Practical). In our first semester we had Calculus, Linear Algebra and C Programming. Since our Calculus program went as far...
  2. Elvis 123456789

    Classical Recommendation for rigorous intro books to mechanics and E&M

    Hey guys I'm a sophomore in college currently taking physics 2(intro E&M), Multivariable calculus, and Differential Equations. I was hoping some of you guys could recommend some good books for intro mechanics and E&M. I'm currently using University Physics by Young in my E&M class, and I used...
  3. lovelymusiclady

    Classical Mechanics Q: trajectory of q in B and E fields

    Hi all! I'm super lost on this homework question. I tried asking the professor but was kind of brushed to the side. My vector calculus knowledge is pretty limited (I had an unfortunately experience in that class). Anybody have any ideas on how to go about solving for this? It's a problem out of...
  4. T

    How long does it take for a rocket to lift off the ground?

    Homework Statement A rocket with an initial mass of 60,000kg ignites its engines and burns fuel at a rate of 300 kg/s with an exhaust velocity of 2220 m/s. How long after the engines start does the rocket lift off the ground? Homework Equations From Newton's second law F = Ma this equation can...
  5. H

    Why Are Old Textbooks Often More Durable Than Newer Ones?

    I got a copy through interlibrary loan. 1950 and it looks great. While the textbook I bought in 2012 for $60 has the pages all warped and turning yellow. They don't make 'em like they used to. I can buy a used hardcover copy of the first edition for $21. I might go for that. Some joker...
  6. T

    Setting Up Lagrangian, David Morin 6.25

    Homework Statement A rigid “T” consists of a long rod glued perpendicular to another rod of length l that is pivoted at the origin. The T rotates around in a horizontal plane with constant frequency ω. A mass m is free to slide along the long rod and is connected to the intersection of the...
  7. C

    A rod falling on a frictionless surface

    Homework Statement Consider a massless rod of length $L$ with a small mass $m1$ attached on one end, and $m2$ attached on the other end. The rod is initially in the vertical position at rest on a frictionless surface, with $m1$ on bottom and $m2$ on top. A small impulse is applied to the top...
  8. J

    Can the kinetic energy be a function of the position vector?

    Hi guys, I got one confusion when reading Goldstein's Classical Mechanics (page 20, third edition). After getting the equation, then it says that Note that in a system of Cartesian coordinates the partial derivative of T with respect to qj vanishes. Thus, speaking in the language of...
  9. G

    Classical An introduction to mechanics solutions

    Hello, Per your guidance I'm running through the 2nd edition of an introduction to mechanics. I'm only in the 1st chapter and all the problems are conceptual with no sign of answers. Does anyone know where I can find a manual? Or maybe an alternate source of problems with answers?
  10. A

    Best journal to publish a research in classical mechanics?

    I think I have an interesting thing to say on the foundation of classical mechanics and I wonder what would be the best journals to submit a work on that topic.
  11. H

    Calculus Will this calculus book 'clear' me for mechanics textbooks?

    Hey, I'm one of those people who's been trying to learn Physics for ages before finishing high school (writing it down like this really makes me sound like some hopeless nerd with nothing better to do..) but never got around to doing it because my calculus knowledge sucks so much. :-) My...
  12. S

    Spring Constant in Hooke's Law

    How does one arrive at the following equation to approximate spring constant for solids... using Hooke's Law F ∝-x ⇒ F = -kx and strain∝stress ? k = (m/a2) × (K/ρ)½ where k≡spring constant m ≡ mass of a single atom a ≡ atomic spacing K ≡ bulk modulus ρ ≡ density
  13. REVIANNA

    People lifting themselves with simple fixed pulley

    I can't convince myself that the situation in this picture is possible in reality though I know the physics works. I feel that it won't work as the workers are not glued to the platform can anyone find a demonstration to verify it .please (I'v searched youtube as much as I could) people lifting...
  14. K

    Engineering Book on Dynamics (Mechanical systems)

    I'm looking for a book that has problems and explanations (not necessarily background theory) about mechanical systems. Consider the picture below for reference. The idea is I want to get a hold of energy and impulse methods for solving problems like this, eventually the book would have a...
  15. A Baffling Balloon Behavior

    A Baffling Balloon Behavior

    I've asked my students about this before. I asked them what they expect to happen, and then gave them the weekend to ride a bus or a train with a balloon and see for themselves. When they came back to class, it often created quite an interesting discussion on why they were puzzled.
  16. Alexiy

    Find the differential equation and velocity

    Homework Statement Homework Equations 3. The Attempt at a Solution [/B] Hello guys,I posted images since its easier to write equations.Please can someone help me check this, if this is correct so far, then i should be able to find the velocity at C, using kinetic energy?
  17. K

    Finding the frequency of a vibrating particle on a string?

    Homework Statement A particle of mass m is on a massless string of length 3a, which is held horizontally across with a tension T(which you can assume doesn't change with the small vibrations). The particle is a distance of a from one of the edges. Set up a diff. equation that describes the...
  18. J

    From Classical to Quantum Mechanics

    What parts of Classical Mechanics must someone know before studying Quantum Mechanics in order to understand the former in all its glory? Thank you
  19. REVIANNA

    Rolling without slipping magnitude

    Homework Statement [/B] A thin light string is wrapped around a solid uniform disk of mass M and radius r, mounted as shown. The loose end of the string is attached to the axle of a solid uniform disc of mass m and the same radius r which can roll without slipping down an inclined plane that...
  20. REVIANNA

    Variable angular acceleration and velocity

    Homework Statement This is a general query not a specific problem. In several questions in rotational dynamics they ask the trend in angular acceleration and angular velocity.In one of them they released a rod from horizontal position and asked if the angular velocity and angular acceleration...
  21. REVIANNA

    Energy and momentum conservation

    Homework Statement [/B] A block of mass m is attached to a spring with a force constant k, as in the above diagram. Initially, the spring is compressed a distancex from the equilibrium and the block is held at rest. Another block, of mass 2m, is placed a distance x/2 from the equilibrium as...
  22. REVIANNA

    Classical mechanics:effective spring const

    Homework Statement [/B] What is the effective spring constant for the system of the two springs, perfect pulley, and string shown on the left for it to be modeled by just one spring (constant keff) as shown on the right? Use only the variables k1 and k2 in your answer. The Attempt at a...
  23. P

    Classical Possible textbook for Classical Mechanics

    Hi, I was wondering what textbooks I should be looking at to learn classical mechanics. I have spent a lot of time looking, but none of the ones I found had what I was looking for. For example, one book would cover all basic concepts in classical mechanics, but then it wouldn't cover more...
  24. Lito

    Classical Mechanics - Statics - Mass and overhang

    Homework Statement A block of mass M is positioned underneath an overhang that makes an angle θ > 0 with the vertical. You apply a horizontal force of Mg on the block, as shown in the figure. Assume that the friction force between the block and the overhang is large enough to keep the block at...
  25. AlexGLSY

    Exploring the Probabilistic Nature of Quantum Mechanics

    Why is Quantum mechanics probabilistic? what prevents it from being deterministic, like classical mechanics ?(is it the lack of information about the processes and the forces applied at this scale?)
  26. N

    Classical mechanics (find trajectory and kinetic energy)

    Homework Statement Given the force ## \vec{ F }(x) = (-12x + 6) \vec{i} ## ; find kinetic energy ## T## at the point ##x=2## and trajectory of a particle ## \vec{r}(t) ##, given that ## \vec{r}(t=0)=\vec{0}## and ##\dot{\vec{r}}(t=0)=\vec{0}## . 3. The Attempt at a Solution Since...
  27. REVIANNA

    Classical mechanics: Force versus time graph

    Homework Statement A particle of mass m=4.0 kg is moving along the x-axis. The particle is being acted upon by a variable single force F⃗ , directed along the x-axis. At t=0 s, the particle is moving at v_0=−3 m/s. What is the first time t>0 when the particle comes to a stop momentarily...
  28. S

    Canonical Transformation (two degrees of freedom)

    Homework Statement Point transformation in a system with 2 degrees of freedom is: $$Q_1=q_1^2\\Q_2=q_q+q_2$$ a) find the most general $P_1$ and $P_2$ such that overall transformation is canonical b) Show that for some $P_1$ and $P_2$ the hamiltonain...
  29. D

    Shear force and bending moment diagrams question

    Homework Statement In the image uploaded below, a boxed shaped object is shown. It is floating in water so the forces that act on it are buoyancy and gravity. The first and the last compartments are filled with evenly distributed weight. The middle 2 compartments are empty. Specifics are...
  30. M

    How Does Water's Surface Shape Change in a Rotating Container?

    Homework Statement A cylindrical container of water with a radius of 6.0 cm is placed on a phonograph turntable so that its outer edge just touches the outer edge of the turntable. The radius of the turntable is 14.5 cm, and the turntable rotates at 33 and a 1/3 revolutions per minute. How much...
  31. jcruise322

    Question regarding block and pulley system with inertia

    This problem is an example from Mosca and Tipler, 9-13, 6th edition. I believe the books equation for the acceleration of the system is incorrect according to my work... Anyway, here goes 1. Homework Statement "Two blocks are connected by a string that passes over a disk pulley of radius R...
  32. REVIANNA

    Classical mechanics: Momentum and velocity

    A small block of mass m slides on a long horizontal table when it encounters a wedge of mass 2m and height h The wedge can also slide along the table. The mass slides up the wedge all the way to the top and then slides back down, never getting over the top. All surfaces are frictionless...
  33. B

    Classical A Good Supplement to Goldstein's Classical Mechanics

    Dear Physics Forum advisers, I am a collegiate junior with double majors in the mathematics and computer science. I bought a classical-mechanics book written by Herbert Goldstein in order to aid my current undergraduate research, grow my curiosity in the physics, and prepare for upcoming...
  34. dwdoyle8854

    Classical Dynamics -- Falling chain and energy conservation

    Homework Statement The statement of the question is:A chain of uniform linear mass density ##\rho##, length ##b## and mass ##M## hands as shown in the figure below. At time t=0, the ends A and B are adjacent, but end B is released. Find the tension in the chain at point A after end B has...
  35. T

    Non-arbitrary frame of reference for acceleration?

    The reason we can choose a frame of reference arbitrarily is that a physical system is not dependent on an absolute position, orientation or time. According to Noether's Theorem, the invariance of a system under a change of position is equivalent to the momentum conservation law. In the same...
  36. Erkan Tur

    Projectile Motion - A classical mechanics problem

    In Matrix, Morpheus shows how to jump. He jumps easily, but Neo falls in his first jump. Morpheus’ jump takes 4 s and Neo’s fall takes 7 s. Distance between the buildings as L and height as h and consider that Neo falls at the middle of the distances, L/2. If both 1 of them know a bit of...
  37. REVIANNA

    Classical mechanics: Projectile Motion

    Homework Statement Two projectiles are launched simultaneously from the same point above the flat terrain. The initial speeds of the projectiles are the same. Each projectile’s velocity makes the same angle with the horizontal. However, projectile A is launched above the horizontal and...
  38. REVIANNA

    Classical mechanics: forces on a pendulum

    Homework Statement [/B] A simple pendulum is pulled sideways from the equilibrium position and then released. I figured this part out - Immediately after the pendulum is released, the net force acting on it is directed: it is perpendicular to the string (I REASONED THAT THE DIRECTION OF...
  39. REVIANNA

    Classical mechanics : constant acceleration

    Homework Statement Two cyclists, Anant and Beth, are standing on a straight road a distance d=22.0 m apart. Simultaneously, they begin to move toward each other, Anant with acceleration a_A=0.2 m/s^2 and Beth with acceleration a_b=0.10 m/s^2. Just as they begin to move, a bee, sitting on...
  40. D

    Motion described by differential equations

    Homework Statement Text from a classical mechanics textbook ( uploaded picture ) shows 2 diff equation describing the motion graphically presented in the uploaded picture. How were these set up? Homework EquationsThe Attempt at a Solution I don't have a slightest clue as how are these...
  41. I

    A rod in free fall with varying length

    Suppose you have a weightless rod with at the endpoints two masses. This is a special rod whose length varies in time as a function L(t). If I consider this rod in free fall my intuition is that this rod will rotate for suitable L(t). However, I want to write down the equations of motions for...
  42. J

    Classical position/velocity probability

    Probability to find a particle in some region of space is inversely proportional to velocity particle has in that region of space. Let's say we have two cases: one particle has velocity given by v(t)=v0*Cos(w*t), and other by v(t)=v0-v1*Cos(w*t), (v0>v1). Since particle spends more time in...
  43. saybrook1

    Project Ideas for Graduate Classical Mechanics and Math Methods

    Hi guys - I was hoping people might have some topic ideas for a project I need to do in graduate classical mechanics as well as math methods. It needs to be a solution to an advanced problem or cover an advanced topic. I'm just looking for ideas that haven't been beaten to death. Any suggestion...
  44. M

    Analyzing the Motion of a Virtual Ball: A Study in Classical Mechanics

    1. Play the first two levels of the game http://www.physicsgames.net/game/Gravity_Master.html Make the ball move in different ways. Write a one page report on whether the motion is like that of a ball in the real world. Explain your observations using classical mechanics.2. None provided.3...
  45. D

    What Is the Maximum Speed of a Mass in a Driven Damped Oscillator?

    Homework Statement A small block (mass 0.25 kg) attached to a spring (force constant 16 N/m) moves in one dimension on a horizontal surface. The oscillator is subject to both viscous damping and a sinusoidal drive. By varying the period of the driving force (while keeping the drive amplitude...
  46. H

    Classical Supplemental Questions for Classical Mechanics?

    Hello all I currently studying Classical Mechanics from Landau's Vol 1. The book is fantastic however, there are not many problems to do. Are there any good problem books that accompany the text well with solutions? Thanks
  47. D

    Question concerning Doppler effect

    Homework Statement In the picture below, can you help me understand what do equations 3 and 5 mean. They concern the soppler effect but i can't seem to understand what do they represent. Homework Equations ft + fv/c=ft((c+v)/c fd=ft-fr 3. The attempt at solution
  48. J

    Intro Physics Moving Beyond Formulae: How to Think Like a Physicist

    I am doing PHYS 172 at Purdue, modern mechanics which begins with algebra and introduces calculus. I am having a hard time seeing beyond a page of formulae and understanding physics as fundamental principles. The textbook is "Matter and Interactions" by Chabay and Sherwood, and I am also reading...
  49. fricke

    Time-Reversal Symmetry Explained

    I completely have no idea what time-reversal mean. Why does, by substituting -t into an equation and if the result is the same as the original equation, then the equation is said to be time-reversal symmetry? Also, what does that 'symmetry' mean there? An even function?
  50. H

    Central Force problems using radial motion equation

    Homework Statement a satellite is in a circular orbit a distance $h$ above the surface of the Earth with speed $v_0$, booster rockets are fired which double the speed of the satellite without changing the direction. Find the subsequent orbit. Homework Equations The Attempt at a Solution Before...
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