Dynamics Definition and 1000 Threads

Homework Statement [/B] Suppose we have a u-shaped tube filled with water, with oil added at one end which disturbs the equilibrium. Now say one end is blocked off and the other is exposed to air flow which reduces the pressure above the water and causes the water to climb back to equilibrium...

Homework Statement I was checking my work and Chegg uses the equations differently. Can somebody tell me why? Maybe I'm misunderstanding how/why to use the equation I chose. Homework Equations They say aB = -ω2ABRB/Ai I used aB = aA + αk x r - ω2rB/A The Attempt at a Solution So obviously...

Homework Statement What is the moment of inertia of a spinning object of radius 0.5 m and mass 6 kg moving at 5 m/s, if it has a kinetic energy of 100 J? 1) 1 kgm22) 2 kgm23) 4 kgm24) 8 kgm25) 20 kgm2 Homework Equations K.E. = Kinetic energy of rotation + kinetic energy of...

Homework Statement Homework Equations I want to say I should be using this one: aA = aB + α x rA/B + ω x (ω x rA/B) The Attempt at a Solution The only problem is that if I'm supposed to find the angular acceleration then i'd have to take the... inverse of the cross product? To get it back...

1.) Homework Statement A Pulley System is shown below Find the accelerations of m1, m2 and m3 (such that there is no slipping between the disk and the rope.) Assume the threads to be massless. Homework Equations The Relevant equations i think are Newtons 2nd...

Hi everyone, I have been hunting all over the Internet for an explanation to changes in the blood pressure when sitting, standing or lying down. I know the complex mechanisms that are involved but I need an equation for an ideal system with the heart in the middle and the pressure that needs to...

Homework Statement This problem is a continuation of the problem I posted in this thread: https://www.physicsforums.com/threads/equation-of-motion-from-a-lagrangian.867784/ (We have set the mass per unit length in that question to ##\sigma## = 1 to simplify some of the formulae a little.)...

Hi, does anyone know of an easy way to calculate the error in <x^2> from the error in <x>? I am running a molecular dynamics simulation and trying to work out the error in the fluctuation of kinetic energy <dEk> = <3/2NT^2> - <3/2NT>^2 from the error in <T>. Thanks in advance

I have an odd, yet intriguing question. I want to describe a particle that is constrained to move along a straight line in the x direction. The location of the particle can be described with theoretically infinite parametric parameters, d, along the line. For example: R = [d 0 0]T R = [d2 0 0]T...

What would be the best book for me if I want to learn nonlinear dynamics ? I have my basics clear in linear differential equations, linear system theory, integral transforms and random process if they suffice as prerequisites.

1. Homework Statement A small cube is sliding on a round dish (see attached figure) . The cube is always in contact with the (vertical) edge of the dish (which prevents the cube from falling outside the dish itself). There is friction between the cube and the dish. The dish can rotate around...

I'm looking for a book to really help hit home what my fluids class is teaching because I'd like to eventually learn the Navier Stokes Equation. Syllabus: 1. Introduction, definitions, fluid kinematics 2. Hydrostatics, including nanometers, Bourdon gauges and pressure transducers 3. Control...

in rigid body dynamics is this relation between velocity of centre of mas and velocity of any particle in the rigid body correct? vcm = vp + rXω r is the position vector of the particle with respect to centre of mass relations are written in vector form and also tell me how to calculate...

Homework Statement A disc of mass M and radius r is kept on a horizontal,frictional plane and is connected to a horizontal spring at the centre.A particle of mass m strikes the topmost point of the disc,tangentially and sticks to it.Assume that the mass of the particle is m and it's velocity is...

Homework Statement Homework Equations Coriolis Accel = 2*v*w Where w is the angular velocity and v is the linear velocity. The Attempt at a Solution I really just need help on understanding how the Coriolis acceleration in this problem is depicted. My dynamics book is extremely confusing...

Homework Statement Homework Equations Langevin equation (I included all the equations in the next section.[/B]The Attempt at a Solution I do not know how I can proceed from this point. I'm stuck since I have no information on the drag coefficient. Maybe my approach is wrong, and there may...

I stumbled upon this concept when studying gas dynamics. What I get from my readings it must occur when Mach number is really close to 1. But I didn't understand how the property relations across a shock wave is affected by it.

Homework Statement Homework Equations Skipping this, as I just have a simple question The Attempt at a Solution Here is the full solution, but I just have one simple question about a simple step. On the part for disk B, they establish the equation vD = vB - vD/B. In the proceeding step...

In the adjoining figure if acceleration of M with respect to ground is a, then A) Acceleration of m with respect to M is a B) Acceleration of m with respect to ground is asin(α/2) C) Acceleration of m with respect to ground is a D) Acceleration of m with respect to ground is atan(α) The 2nd...

Homework Statement Block D of the mechanism is confined to move within the slot of member CB . Link AD is rotating at a constant rate of ωAD = 4 rad/s measured counterclockwise. Suppose that a = 350 mm , b = 200 mm. Find wCB and αCD Homework EquationsThe Attempt at a Solution [/B] I hope its...

Homework Statement A 500 kg boat moves with an initial speed of 20 m/s turns off it engine and slows down due to the drag force. If this force has magnitude F= 15.3v^2 find the boat speed after 12 seconds.Homework Equations ∑F = ma dv = adt The Attempt at a Solution taking the side opposite...

Homework Statement [/B] If bar AB has an angular velocity of 6 rad/s, determine the velocity of the slider block C at the instant shown. 2. Homework Equations The Attempt at a Solution vB=vA+wABxrB/A vA=0 vB= -0.8485i+0.8485j So then C relative to B: vC=vB+wBCxrC/B -vCi=...

So, my teacher is going to do almost like an interview to the class, asking our knowledge about Dynamics and Kinematics, and I was wondering if I can get questions to test my knowledge in Dynamics and Kinematics to get ready for it.

Homework Statement A skier on a slope inclined at 4.7 degrees to the horizontal pushes on ski poles and starts down the slope. The initial speed is 2.7 m/s. The coefficient of kinetic friction between skis and snow is 0.11. Determine how far the skier will slide before coming to rest. Answer...

Homework Statement A child is pulling a wagon of mass 7.38 kg up a hill inclined at an angle of 14.3 degrees to the horizontal. The child applies a force parallel to the hill. The acceleration of the wagon is 6.45 cm/s^2 up the hill. Friction is negligible. Determine the magnitude of (a) the...

hello, in numerical fluid dynamics there are field methods like finite-volume, finite-element, etc. and particle methods like Smoothed-Particle-Hydrodynamics – SPH and others. Both approaches have advantages and disadvantages depending on the application. Both, in principal completely different...

This is an observation, not a criticism. I noticed that in The Feynman Lectures on Physics Vol-I, Chapter 9 Newton's Laws of Dynamics in section 9.5 he speaks of "the law of dynamics" in the singular "That is where the law of dynamics comes in. The law of dynamics tells us what the...

Because the section on frequency domain analysis (vibrations) is hurting my brain... Are there any alternatives to this book that may be a little less abstract? Thanks, Mac

Question A spacecraft starts in elliptical orbit JK (red solid curve) around some planet and transfers to elliptical orbit MN (blue solid curve). To do so, it changes its speed at Kand inserts into the circular orbit KL (dashed green curve). At L, it changes speed again to insert into...

Homework Statement The displacement vector of a particle of mass 50 gm. is given as a function in time (t) by the relation ##\vec S##=(5t-t2) ##\hat c## where ##\hat c## is a constant unit vector , s is measured in centimetre and t in second .Knowing that the particle started its motion at t=0...

Here is the table of contents of Nonlinear Dynamics and Chaos (by Strogatz) Overview Flows on the Line Bifurcations Flows on the Circle Linear Systems Phase Plane Limit Cycles Bifurcations Revisited Lorenz Equations One-Dimensional Maps Fractals Strange Attractors Last quarter, there was a...

< Mentor Note -- thread moved to HH from the technical physics forums, so no HH Template is shown > Hi, I am having difficulty solving the problem, please resolve it if possible. my work and the image for the problem is attached. Thanks The 10 kg block is at rest on the bottom of the incline (θ...

Homework Statement Body A in Fig. 6-33 weighs 102 N, and body B weighs 32 N. The coefficients of friction between A and the incline are μs 0.56 and μk 0.25. Angle θ is 40. Let the positive direction of an x-axis be up the incline. In unit-vector notation, what is the acceleration of A if A is...

Hi guys, please help me with these questions. I've been racking my brain for days but I'm not sure of the answers. 1) (Assume that pump similarity laws are valid and that the effects of Reynolds number (Re) are small.) A centrifugal pump operating at speed N is combined in series with an...

Mentor note: moved to homework forum later, therefore no template.[/size] When doing a rigid body relative motion (accel) problem using vector analysis, how do I know when it's appropriate to substitute sin/cos values vs when to use just the numbers given as the velocity?

Homework Statement Homework Equations [/B] Radial and Transverse coordinates to relate acceleration Balancing forces The Attempt at a Solution I know that there is more to this problem, but my question is simple: Why don't we know what the normal force is? When I solved it myself I...

Hey all, Interestingly enough, I was actually recently feeding some ducks at a nearby pond when I noticed a cool phenomenon that I couldn't explain myself, so I was hoping you guys could assist in that. When you have two air bubbles over a liquid surface, like water, they seem to accelerate...

Homework Statement No official problem, just a study guide fill-in-the-blanks with an extended simplification blank. Basically, no values were given, and it is a standard block on a standard slope with a north-east applied force pushing down on the block (not parallel to horizontal or vertical...

Homework Statement The collar has a mass of 30 kg and is supported on the rod having a coefficient of kinetic friction of 0.4. The attached spring has an unstretched length of 0.2 m and a stiffness of k =50 N/m. Determine the speed of the collar after the applied force F= 200N causes it to be...

Homework Statement This is more of a question that doesn't require formulas as much as common sense. The question goes,"If you have a ring that is heated up, would the hole in the middle get smaller or larger." Homework Equations N/A The Attempt at a Solution I know that when objects are...

Homework Statement say a fridge of width "w" and height "L" is being pushed on by a force F at an angle θ to the horizontal. This force is applied at a height of "h" above the ground. I want to know what the max value of h can be such that the fridge doesn't tip and the coefficient of...

Homework Statement Hi guys, I was working on this problem and I want to know if it can be solved by using an indefinite integral, so here it goes: A car starts from rest and travels along a straight track such that it accelerates at 10 m/s^2 for 10 s, and then decelerates at 2 m/s^2 ...

Homework Statement Boxes are placed on a slope at uniform intervals of time trelease and slide down the slope with uniform acceleration. Knowing that as a box B is released, the preceding box A has slid 6 meters down the slope and that 1 second later they are 10 meters apart, determine the...

Homework Statement A 200 lb man lies against the cushion on a Rotor ride, which is inclined at θ=10°. The coefficient of static friction is μs=0.3. Radius is 8 ft. Find minimum speed so that the man does not slip down. Homework Equations ΣFn = man ΣFz = 0 an = v2/r The Attempt at a Solution...

Hello, I'm a student in Higher School Preparatory Classes, I'm doing a research on "the dynamics of celestial bodies". I already included some notions of the motion of planets around the sun and the solar system around the center of the galaxy in my research, but it is not enough. I need...

A car travels around a circular track with a radius of r=250m. When it is at point A then VA=5m/s which increases at a rate of a=(0.06t)m/s2. Determine the magnitude of its velocity and its acceleration when it is 1/3 around the track. My distance in this situation is obviously 524m. Can anyone...

Homework Statement Assume that there is a tank on a 200 ft pedestal type support. When full the tank and contents have a weight of 50,000 lbs and it is never drained to a point where the tank and contents have a weight less than 20,000 lbs. Assume the pedestal weight is negligible compared to...

Some really impressive movement!

Homework Statement Assuming no friction is on the plane or the pulleys and the pulley and rope have negligible mass... Determine the acceleration of each block and the tension in each cord. Block A weighs 100kg, Block B weighs 300kg. Homework Equations ΣF = ma ma = 100kg mb = 300kg The...

This arises in Joos's discussion of planetary motion, at the following URL: https://books.google.com/books?id=wFl2MkpcY6kC&lpg=PP1&pg=PA91#v=onepage&q&f=false I've modified the notation in obvious ways. He asserts that the following expression is "the familiar arc-cosine form": $$-\int...