# 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.
17. ### Normal force at the top of a vertical loop -- Circular Motion Dynamics

From the equation for centripetal force, I can see that the centripetal force is proportional to v^2. Does this have something to do with why there is a normal force at the top? Does the velocity of the object require there to be a normal force? If so, why is that the case?
18. ### A 4kg mass sits on a frictionless table....

I got 13N but is that right because apparently, it's wrong Here's my work: F = mg = 2(10) = 20N F = ma a = F/m = 20/4+2 = 20/6 = 10/3 = 3.3m/s^2 T = mg - ma T = (2kg)(10m/s^2) - (2kg)(3.3m/s^2) = 13.4 N I appreciate it! And if I'm wrong could you show how you got your answer? Thanks
19. ### Fluid Dynamics Question -- Water flowing through a pipe into two cylinders

Because my little work project involves fluids I thought this the best topic to post under. I took the route of biological sciences and computer science. This area is out of my league at the moment I'm not sure the amount of time that would be required to get the material applicable to this...
20. ### Engineering Applying Physics to Vehicle Dynamics: Do Wheel Number Matter?

I was modeling the dynamics of a vehicle for a project, and started doubting about the way of applying physics in this particular case. The thing is, I know the torque in the wheels from the torque the electric motor I designed do provide, multiplied by the gearbox ratio. I also know the...
21. ### A Interactive Galactic Dynamics Textbook -- Bovy 2022

Since no one seems to have mentioned this yet... For anyone interested in graduate-level study galactic dynamics, Jo Bovy (Assoc Prof in the Astrophysics Dept at U. Toronto) is in the process of constructing an interactive textbook on the subject, which you can check out at galaxiesbook.org...

23. ### A Confusion of the scale of contact line dynamics and capillary flow

I'm having some trouble getting my head around the scale at which capillary flow and contact line dynamics are important. In the simple case of liquid rise in a capillary tube, a smaller tube will allow for greater rise since a larger height is required to achieve an equal weight of the liquid...
24. ### I Simple lateral vehicle dynamics model

I have run into a problem when trying to model a simplified vehicle that has three degrees of freedom – roll, vertical and lateral motions. It is represented by a single mass with two links that model the suspension behaviour. The links connect the tyre-to-ground contact points (tc) to the body...
25. ### Dynamics problem (force and torque analysis) of a human finger

I was having trouble with a physics problem (string tension dynamics) In this case I have a model that simulates the phalanges of a human finger. Each phalanx is a block of mass m1, m2 or m3 respectively. And to simplify it, consider the 3 equal masses. These phalanges are linked by joints that...
26. ### Direction of friction for three bodies stacked one on top of the other

I have drawn three free body diagrams, one for each box and then I applied Newton's Second Law after choosing a reference frame rotated clockwise by ##\alpha##, with ##x## pointing south-east and ##y## pointing north-east and I got: ##\begin{cases}m_{1x}: -T+m_1g\sin(\alpha)+F_{fr_{12}}=m_1...
27. ### I Exploring the Impact of Non-Stretchy Mat Materials on Trampoline Physics

Trampolines are in effect coupled springs, with the mat being the much softer spring generally. E.g. On my Acon, when jumping about 1 meter, there is a max cone of depression about 60 cm deep and 1 meter across (1 meter point has a depression of only about 10 cm) At this same point the 160 or...
28. ### I Shape Dynamics: How Can It Offer Same Predictions as GR & SR?

Developers of Shape Dynamics (as Julian Barbour and Tim Koslowski) claim that Shape Dynamics will offer in most cases the same predictions as GR, and implicitly as SR. How can this possibly be true, since they get rid of time altogether and thus of any notion of simultaneity? How would they get...
29. ### I Can Shape Dynamics Be Tested Against Quantum Mechanics?

Shape Dynamics implements nicely Mach's principles. But how well does it fare when it comes to Quantum Mechanics? How can it be experimentally distinguished from other theories?
30. ### Intuition on the direction of friction in a rotational dynamics problem

The figure illustrates the situation. The radii of the larger and smaller discs are 2R and R, respectively. Their masses are M and 2M, respectively (the largst disc has the smallest mass). Also, m=5/4 M, where m is the mass of the suspended object. The pulley is "massless" (negligible moment...
31. ### Spring-mass system with a pendulum using Lagrangian dynamics

I'm stuck in a problem of a spring mass system with a pendulum attached to it as showed in the figure below: My goal is to find the movement equation for the mass, using Lagrangian dynamics. If the spring moves, the wire will move the same amount. Therefore, we can write the x and y position...
32. ### Force of brake pads on a wheel

[Mentor Note -- thread moved from the technical forums to the schoolwork forums] I have a hollow-cylinder wheel model, braked with brake pads located at a distance d of the wheel's center axis. The brake pads have a contact area S. They are also forced towards the wheel with a pressure p. The...
33. ### Engineering Fluid Dynamics: Proof of the Static Pressure Head equation

I am trying to mathematically prove the Static Pressure Head equation: H = p/ρg How can I prove this equation and thus determine the nature of the relationship between these variables?
34. ### Finding tension as a function of distance from the center of rotation

I'm not too sure how to account for both the mass and the rope at once. I think the following are true for the two individually: For the mass at the end, ## T = m ω^2 L ##, following from ##a = v^2/r##and ##v=ωr##. For the rope, ##dT = ω^2 r dM##, where ##dM = λ dr## and λ is the mass per unit...
35. ### I Polarizing filter synthesis and dynamics

I have found a fair amount of sources for studying polarized light but I haven't found sources discussing synthesis of polarizers in detail along with mechanistic discussion.
36. ### I Non-Newtonian description of an accelerated object

Hello, everyone! In the first few chapters of Physics 1, there is the description of motion, and the computation of the acceleration vector as being the sum of the rate of change of velocity, with the division of linear velocity squared by the instant radius of curvature: The above equation...
37. ### How Does Colatitude Affect the Direction of Coriolis Force?

So I don't understand "due north from a position at colatitude ##\theta## " , whether how I translate it... I keep getting that direction should be radial...(toward Earth CM) This is my work: Thank you so much!
38. ### Buckets on a pulley - Dynamics Problem

A) I am not sure if initial velocity means the initial velocity of the putty. If then, it should be 10m/s. But the answer given is 10/7 m/s B) i have solved this part correctly C) the answer should be 86J Please be kind to help me
39. ### I Modified Newtonian Dynamics + dark matter sterile neutrinos or PBH?

what about Modified Newtonian Dynamics + dark matter both right and both correct Are sterile neutrinos consistent with clusters, the CMB and MOND? Garry W. Angus arXiv:0805.4014 [ If no sterile neutrinos then Modified Newtonian Dynamics + primordial black holes Primordial Black Holes...
40. ### Exploring the Benefits of Planar Multibody Dynamics in Mechanical Engineering

Hello I am reading the book : " Planar Multybody dynamics, Formulation, Programming and Application" An interesting lecture , however is it worthwhile studying these methods for kinematic and dynamic analysis of mechanical mechanisms? I mean There are many softwares on the market which make...
41. ### Engineering Adding two signals from different sensors in order to obtain a signal with very high dynamics

hello I am working on a project concerning a measurement technique which consists of adding two signals from different sensors in order to obtain a signal with very high dynamics. and I would like you to help me because I saw your interventions concerning this system. I don't know yet if this is...
42. ### Data sources for Vehicle Dynamics Model validation?

Hello all, I have written a VDM for my Masters thesis, unfortunately, since I am from a discipline other than mechanical engineering I don't have access to reliable validation material or a way to produce it (moreover, we don't have an actual vehicle testing lab/area at the U that I know of)...
43. ### Olympiad dynamics problem with 3 masses and a pulley

Hello all, this is an adaptation of a question i saw some time ago (can't find the original now). There are two forces acting on two masses both 1kg. The masses are joined by an inextendable rope and going over a frictionless pulley of negigible mass. In blue I have written in some working out...
44. ### A sphere rolling without slipping down a hemisphere

a) From impulse-momentum theorem I have: ##J=mv## so ##v=\frac{J}{m}## and since the ball doesn't slip ##v=\Omega b## so ##\Omega=\frac{J}{mb}## and ##\dot{\theta}=\frac{v}{a+b}=\frac{\Omega b}{a+b}##. b) I considered the angular impulse: ##-J(a+b)=I_0 \Omega_0 \Rightarrow...
45. ### I Exact dynamics of spin in varying magnetic field

Consider an uncharged particle with spin one-half moving with speed ##v## in a region with magnetic field ##\textbf{B}=B\textbf{e}_z##. In a certain length ##L## of the particle's path, there is an additional, weak magnetic field ##\textbf{B}_\perp=B_\perp \textbf{e}_x##. Assuming the electron...
46. ### Understanding Gas Dynamics in Piston-Crank Slider System

I need help understanding what happens to the gas that is being worked by the piston, in the crank slider. My goal is to produce linear motion on an object up to a certain height and I'm wondering since the slider moves back during the rotation of the crank what happens to the object I'm trying...
47. ### I Jupiter atmosphere, turbulence and ocean fluid dynamics

Ocean physics explain cyclones on Jupiter https://phys.org/news/2022-01-ocean-physics-cyclones-jupiter.html Moist convection drives an upscale energy transfer at Jovian high latitudes https://www.nature.com/articles/s41567-021-01458-y...
48. ### [Structural Dynamics] How to model a 3D wing as a 2D Wind Tunnel Model

Greetings Good People, As the title suggests, I'm having some trouble getting to a 2D model. The process is to select an aircraft (or wing model), and model it as a 2D, 2DOF wing-tunnel model. The aircraft I selected was a Cessna 172. This had a tapered wing, which after some calculations and...
49. ### Tetherball rope wrapping around a pole

My work so far is pretty basic, but I'm not too sure how to continue off from here. I haven't included the 2 dimensional aspect of it either, but I would presume that the rate of decrease in length is more sped up in that case? Would appreciate any help :(
50. ### I Manuscript on elementary rigid-body dynamics

In view of questions occurring from time to time in this forum, I've written an elementary introduction to rigid-body dynamics (mostly about the force-free and the heavy symmetric top). I hope, it's of some use: https://itp.uni-frankfurt.de/~hees/pf-faq/spinning-top.pdf