What is Dynamics: Definition and 1000 Discussions

General Dynamics Corporation (GD) is an American publicly traded, aerospace and defense corporation headquartered in Reston, Virginia. As of 2020, it was the third-largest defense contractor in the United States, and the third-largest in the world, by sales. The company is a Fortune 100 company, and was ranked No. 83 in 2020.Formed in 1954 with the merger of submarine manufacturer Electric Boat and aircraft manufacturer Canadair, the corporation today consists of ten subsidiary companies with operations in 45 countries. The company’s products include Gulfstream business jets, Virginia- and Columbia-class nuclear-powered submarines, Arleigh Burke-class guided-missile destroyers, M1 Abrams tanks and Stryker armored fighting vehicles.
In 2020, General Dynamics had worldwide sales of $37.9 billion and a workforce of more than 100,000 full-time employees. The current chairman and chief executive officer (CEO) is Phebe Novakovic.

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  1. N

    Good beginner math book on fractional dynamics

    I was wondering if anyone knows any textbooks that are a good beginners guide for the dynamics (mechanics) using the fractional calculus. I have The Fractional Calculus by Oldham and Spanier but was hoping to find something more rudimentary. Thanks.
  2. Astronuc

    Computational Fluid Dynamics by John D. Anderson

    Author: John D. Anderson Title: Computational Fluid Dynamics: The Basics with Applications Amazon Link: https://www.amazon.com/dp/0070016852/?tag=pfamazon01-20 Prerequisities: Calculus, Introductory Physics and/or Aerospace Engineering, Fluid Mechanics, Heat Transfer Level...
  3. G

    Maths behind non-linear dynamics, driven damped oscillator more specifically.

    I am investigating the mathematics behind driven damped oscillators, I will then simulate it in MATLAB and observe the unpredictable long term behavior of the system. In order to create non-linearity in a oscillating spring I can no longer use hookes law but a form of it by introducing a...
  4. A

    Dynamics - constant speed

    Homework Statement A motorcyclist travels around a curved path that has a radius of 450 ft. While traveling around the curved path, the motorcyclist increases speed by 1.10\frac{ft}{s}. Determine the maximum constant speed of the motorcyclist when the maximum acceleration is 7.00...
  5. B

    Basic Fluid Dynamics: Calculating Exit Velocity & Mass Flow Rate

    Hi guys and girls, I hope you can help an electronics engineer out of his place in the mechanical world:uhh: My very basic question is for a vessel holding a liquid at a given pressure and a given opening in the vessel how can i calculate exit velocity and mass flow rate? Like if i blow a...
  6. Astronuc

    Engineering Mechanics: Statics & Dynamics by Russell Hibbeler

    Author: Russell C. Hibbeler Title: Engineering Mechanics: Statics & Dynamics Amazon Link: https://www.amazon.com/dp/0132915480/?tag=pfamazon01-20 Prerequisities: Prior or concurrent experience in Calculus, Introductory Physics Level: Undergraduate Table of Contents: 1 General...
  7. G

    MATLAB Is fortran 90 or matlab better for simulating non-linear dynamics (Chaos)?

    I am going to be simulating damped driven oscillators for my project and I was wondering if someone could give me a definitive answer on the matter. I know MATLAB is more of a 'tool' than a language so I'm thinking the maths behind damped driven oscillators might be easier to implement into...
  8. S

    Fluid Dynamics - increasing pressure

    I am working on hobby project with almost no budget. I bought some "nice" (cheap & simple) electronic solenoid valves for water flow. I've since discovered that they need 3PSI to open. Which is ok for the supply lines. But the drain line requires that as well. Now I either need a column of water...
  9. M

    Two Rotational Dynamics Problem

    1) 10. Four objects are placed at rest at the top of an inclined plane and allowed to roll without slipping to the bottom in the absence of rolling resistance and air resistance. • Object A is a solid brass ball of diameter d. • Object B is a solid brass ball of diameter 2d. • Object C is a...
  10. Greg Bernhardt

    Classical Classical Dynamics of Particles and Systems, by Jerry Marion and Stephen Thornton

    Author: Stephen T. Thornton (Author), Jerry B. Marion (Author) Title: Classical Dynamics of Particles and Systems Amazon Link: https://www.amazon.com/dp/0534408966/?tag=pfamazon01-20 Prerequisities: Calculus, Ordinary and Partial Differential Equations, Introductory Physics Level...
  11. B

    Integration help, Kepler's problem Lagrangian dynamics

    Homework Statement Carry out the integration ψ = ∫[M(dr/r2)] / √(2m(E-U(r)) - (M2/r2)) E = energy, U = potential, M = angular momentum using the substitution: u = 1/r for U = -α/r Homework Equations The Attempt at a Solution This is as far as I've gotten: -∫ (Mdu) /...
  12. Saitama

    Rotational dynamics, semicircular arc

    Homework Statement (see attachment) Homework Equations The Attempt at a Solution Do I need to take torque about C here? Any help is appreciated, Thanks!
  13. Z

    Dynamics of circular motion. Particle on the top of a circle

    Homework Statement A particle of mass M is on the top of a vertical circle without initial velocity. It starts to fall clockwise. Find the angle with respect to the origin, where the particle leaves the circle. Homework Equations v=ωXr The Attempt at a Solution I used two unitary...
  14. G

    Solve Rotational Dynamics Homework: Hollow Cylinder, Weight, String

    Homework Statement A hollow cylinder of internal radius r and external radius R and mass M is connected by a string to a weight m. What are the angular and linear acceleration of the cylinder? Assume that the cylinder is rolling without slipping. What is the acceleration of the weight and...
  15. L

    Dynamics - the physics of tobogganing and forces at an angle

    Homework Statement A child is tobogganing down a hillside. The child and the toboggan together have a mass of 50.0kg. The slope is at an angle of 30.0° to the horizontal. Assume that the positive y-direction is pointing in the direction of the normal force. Assume that the positive...
  16. J

    Lagrangian Dynamics - Grandfather Clock?

    Homework Statement The pendulum of a grandfather clock consists of a thin rod of length L (and negligible mass) attached at its upper end to a fixed point, and attached at its lower end to a point on the edge of a uniform disk of radius R, mass M, and negligible thickness. The disk is free...
  17. J

    Finding a Dynamics Book with Derivation for Angular Acceleration

    in an undergrad introductory dynamics class, my professor used tensors, and assumed things went to zero to derive equations for angular acceleration. he then proceeded to show how a rotating body with certain moments of inertia will experience unstable rotation about certain axes due to the...
  18. C

    Dynamics- Angular Impulse and Momentum Problem

    Homework Statement The 30-kg reel is mounted on the 20-kg cart. If the cable wrapped around the inner hub of the reel, with radius 150mm, is subjected to a force of P=50 N, determine the velocity of the cart and the angular velocity of the reel when t=4 sec . The radius of gyration of the reel...
  19. J

    Modeling Wave Dynamics in a Cylinder on a Fulcrum

    Suppose I have a cylinder on a fulcrum that is filled half way with a fluid, how would I model the waves in the cylinder if it were put in motion?
  20. P

    Dynamics- effect caused be angle, friction

    Hi all, With reference to the attached diagram 1, what affect will friction have on the acceleration? Below is my solution, but is there something that I can include? and is it explained correctly?: "Since friction acts as a force which opposes in this case the sliding motion of the...
  21. P

    An odd question on orbital dynamics

    Is there any kind of celestial event that could occur that could completely lock the Earth's rotation such that it is constantly facing the sun, in the same way the moon is tidally locked to the earth? What would it take? Could it be caused by the passage or entrance of a new gravitational...
  22. T

    Rotational Dynamics Problem - Rod slipping against Block

    Homework Statement A uniform rod of mass m and length l is pivoted at point O. The rod is initially in vertical position and touching a block of mass M which is at rest on a horizontal surface. The rod is given a slight jerk and it starts rotating about point O. This causes the block to...
  23. D

    MHB Investigating Inconsistencies in Strogatz's Nonlinear Dynamics Book

    Strogatz's Nonlinear and Dynamics book states that $$ \langle\sin^{2n}\rangle = \frac{1\cdot 3\cdot 5\cdots (2n-1)}{2\cdot 4\cdot 6\cdots 2n} $$ for $n\geq 1$. However, $\langle\sin^6\rangle = \frac{5}{16}\neq\frac{15}{48}$. What is the deal here?
  24. E

    Gas Dynamics (Compressible Flow) Normal Shock Wave

    Homework Statement Suppose that a blast wave, which might have been initiated by an atomic bomb explosion, is traveling through air at standard atmospheric conditions with a speed of 60,000 m/s find change in ( pressure , temperature , stagnation pressure , velocity ) produced by the wave...
  25. E

    Difference between Intermediate Dynamics / Mechanics?

    So there's this new course at my school called "Intermediate Dynamics" and I'm wondering if there are any differences between this course and another called "Intermediate Mechanics." Dynamics is in the MAE department and Mechanics in the Physics department. Here are the descriptions...
  26. G

    2D Dynamics Work-Energy Problem

    Homework Statement Homework Equations Work done by a couple (U) = ∫M dθ Where M is the applied bending moment and θ is angle For a uniform, slender beam mass moment of inertia (I) through an axis perpendicular to the beam and passing through the centre of mass = \frac{mL^{2}}{12} If...
  27. L

    How Fast Can Water Flow from a Kitchen Faucet on the Third Floor?

    Homework Statement water in main pipe at the street level is at a gauge pressure of 170 KPa and is moving with neglibible speed. A pipe connected to the main pipe is used to deliver the water to kitchen located on the third floor of a building, at a 15-m height from the street level. what is...
  28. X

    3d dynamics rotation/inertial formula question

    Homework Statement I just saw the equation R'=RΩ (where ' is dot, or the derivative) in my notes (unorganized obviously), and can't remember what it stands for (rotation matrices?). Can somebody please tell me what this equations means thanks. I know R is some position vector and Ω is the...
  29. D

    Rotational Dynamics Confusion

    I am right now studying Rigid Body dynamics.. I have some doubts regarding Dynamics... 1) When a body is rotating as well as translating...we say that every particle of the ..lets say ROD is moving with a resultant velocity = Vcm ( translational velocity of COM) + ω.R (where R is the...
  30. X

    Are All One-Dimensional Vector Fields Gradient Systems?

    Show that all vector fields on the line are gradient systems. This is exercise 7.2.4 in the book "Nonlinear Dynamics and Chaos" by Steven H.Strogatz Thanks very much!
  31. T

    Finding the Axis of Rotation in a Rotational Dynamics Problem

    Hi friend I am really getting big problem in solving this question which is related to Rotational dynamics. Please help me in solving this. I will be heartily thankful to u all guys. The question is as follows ...
  32. X

    Understanding 3D Rigid Body Dynamics Equations: R=R'Ω Explained

    Homework Statement I just saw the equation R=R'Ω (where ' is dot, or the derivative) in my notes (unorganized obviously), and can't remember what it stands for (rotation matrices?). Can somebody please tell me what this equations means thanks. I know R is some position vector and Ω is the...
  33. U

    Circular Motion Dynamics. Car traveling in vertical circle

    Homework Statement A small car with mass .800 kg travels at a constant speed of 12m/s on the inside of a track that is a vertical circle with radius 5.0m. If the normal force exerted by the track on the car when it is at the top of the track is 6.00N, what is the normal force at the bottom of...
  34. B

    Wheel dynamics: sliding and skidding

    Hi all. Reading on several books and papers, I found that the motion of a wheel moving on a flat surface are given by (assume that positive torques are counter-clockwise and the positive direction of the motion is toward the right direction): m \dot v=F J \dot ω=-rF+T for T<0, where m...
  35. S

    Rotational Dynamics - Energy, Torque

    Hi, I'm new to the forum, starting off with some rotational stuff that I am not grasping well... I have diagrams for each question too, which i feel are vital to understanding the questions Homework Statement A spherical ball bearing 0.025m in diameter, rolls without slipping down an...
  36. D

    Someone explain hybrid zero dynamics in simple english?

    Homework Statement I'm working on a bipedal walker and as part of initial research I found hybrid zero dynamics as a solution to help detect terrain. The current method used is combining data from accelerometer and gyroscope and using Kalman Filter to find angle in x,y,z planes...
  37. G

    TTU Dynamics - Energy Analysis in American Units

    I am having a problem with dynamics this semester. Our professor gives us "FE-like" questions, which are actually more complicated than FE questions. I can get to where I need to apply the kinetic energy equation but my units look really large and I don't know what to do with W' or how I can get...
  38. B

    Stuck on derivation of Euler's equations in rigid body dynamics

    i was reading about derivation of Euler's equations for rotational dynamics (john taylor, classical mechanics, chapter 10) when i got stuck on one of the reasonings essentially it refers to the moment of inertia tensor, since the tensor itself about a point is dependent on the position of the...
  39. J

    Pulling a plank across cylinders - Rotational Dynamics

    Homework Statement A plank with a mass M = 6.10 kg rides on top of two identical, solid, cylindrical rollers that have R = 4.10 cm and m = 2.00 kg. The plank is pulled by a constant horizontal force F of magnitude 4.80 N applied to the end of the plank and perpendicular to the axes of the...
  40. B

    Struggling with Rotational Dynamics Homework?

    Homework Statement I've been trying to attempt this problem for the past day but I don't understand how to answer the questions. It's frustrating. If someone could point me in the right direction that would be nice. My TA did the problem in class but I still don't quite understand it. This is...
  41. G

    Engineeing Dynamics - Inertia Dyad of Half Cylinder

    I'm getting desperate. The professor has assigned a project and has not clearly explained how to derive the answers. I'm doing the best I can but his TA's and recommended tutors for the class are always incapable of reproducing the answers either. It's a junior level dynamics class, but he's...
  42. P

    Fluid Dynamics - Spanwise Vorticity of Turbulent Boundary Layer

    Hi all, Am reading a few papers for a Uni case study about structures in Turbulent Boundary Layers over a Flat Plate (water), particularly low-speed streaks. I'm confused over what mechanism causes the span wise variations in velocity that seems to cause low speed streaks. Would...
  43. D

    Verify Solutions for Dynamics Problems Homework

    Homework Statement You are driving home from the cottage and pulling a trailer behind your car. There is a steep hill with a 12 degree incline that you must drive up. You read the instructions for the trailer hitch which keeps the trailer attached to your car. The hitch can withstand...
  44. G

    TTU Dynamics: Find normal/angular acceleration of a point on a merry go round

    Homework Statement A boy mass mb and a girl mg are riding on a frictionless merry go round mr that has mass moment of inertia I = 1/2(mr)R^2. The boy runs back and forth from center to edge and completes a circuit in 2 seconds. If the initial speed is ωo, what is the acceleration the girl...
  45. P

    Dynamics And Kinematics Problem

    Homework Statement Given: m = 17kg Vi = 0 Fa=42N θ=25 Mu=0.15 T=125s Diagram: http://s14.postimage.org/euy3whikh/New_Bitmap_Image.png Find: Δd a block accellerates from rest for 125s find the displacement. Frictional forces act on the block. A force applied is 25 degrees above the...
  46. P

    Calculating Acceleration and Tension in a Rope and Pulley System

    Homework Statement An environmentally-sensitive daredevil wants to use a large mass, a rope, and a pulley to accelerate toward ramp while his motorcycle is in neutral, as shown below. If friction is negligible, what will the acceleration of the motorcycle be and the tension of the rope...
  47. S

    Fluid Dynamics - Extracting Information from Instantaneous Snapshot

    I have questions about how fluid dynamics may be used in general, particularly flow visualisation and extraction of flow parameters. I currently use a DNS code to propagate a wake near the fluid surface (fixed), from which I extract snapshots of the surface velocity field at particular...
  48. D

    Fluid dynamics of entry region in a pipe

    Homework Statement Steady, laminar flow of an incompressible Newtonian fluid with constant physical properties. The area of interest in the problem is in the entrance region between two wise, horizontal parallel plates separated by distance 2B. z is in the direction of flow and x is the...
  49. M

    Rotational Dynamics, Torque, and Tension

    Homework Statement A man drags a 71.5-kg crate across the floor at a constant velocity by pulling on a strap attached to the bottom of the crate. The crate is tilted 22.5° above the horizontal, and the strap is inclined 64.0° above the horizontal. The center of gravity of the crate coincides...
  50. P

    Dynamics. Inclined plane with friction coefficient

    I've got the following exercise, which I've done 3 times already and I think I haven't made any mistake: A body is slid upwards through an inclined plane of angle \theta=15\degree. Determine the friction coefficient of the body with the surface of the plane if the time it takes to go upwards t_a...
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