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.
Homework Statement
I have a population problem where:
\frac{dy}{dt} = ay - by^{2}-\frac{c*y^{3}}{d+y^{3}}
I need to find an expression for y(t). I'm not looking for the answer, just some advice/ helpful hints.
Thank you.
Homework Equations
The Attempt at a Solution
I...
I have to do these 2 problems for homework, but I can't figure them out. Any help would be appreciated.
1. The motorcycle is traveling at 1m/s when it is at A(the origin). If the speed is then increased at \dot{V} = .1 m/s^2, determine its speed and acceleration at the instant t = 5 seconds...
Homework Statement
A 1200 kg rocket car is placed at the bottom of a 100 meter long ramp inclined at 10°. The rocket is turned on and it exerts a force of 8300 N for 5.70 seconds, and then it shuts down. Find the speed with which the rocket car leaves the ramp (assume frictionless)...
Need help with this question:
Would parasympathetic stimulation of the heart affect the Starling relationship between end diastolic volume (EDV) and stroke volume (SV)? In other words, what would be expected to happen to the Starling Curve if you increased or decreased parasympathetic...
Homework Statement
The tires on a car are capable of exerting a maximum frictional force of 1753 lb. If the car is traveling at 75 ft.s and the curvature of the road is ρ=560 ft, what is the maximum acceleration that the car can have without sliding?
Homework Equations
ƩFn = man
The...
Hi all,
I have a question about calculating the concentration of continuous air and carbon monoxide flowing through a pipe. If the gas cylinder originally has 20% CO and 80% air and it will be diluted by another gas cylinder of air, how do you account for temperature, pressure, and...
Author: Jorge José and Eugene Saletan
Title: Classical Dynamics: A Contemporary Approach
Amazon Link: https://www.amazon.com/dp/0521636361/?tag=pfamazon01-20
Can moment of inertia be derived using just linear dynamics and calculus. Textbooks usually derive moment of inertia using energy equation and and analogy of 1/2mr^2w^2 with 1/2mv^2. I would like to know if it can be approached in a different manner using just linear 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.
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...
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...
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...
Hi guys and girls,
I hope you can help an electronics engineer out of his place in the mechanical world:rolleyes:
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...
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...
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...
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...
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...
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) /...
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!
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...
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...
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...
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...
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...
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...
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...
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...
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...
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?
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...
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...
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...
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...
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...
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...
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!
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 ...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...