Body Definition and 1000 Threads

is there a numerical method to determine whether two bodies will stay bounded forever in an n body simulation? i know if the energy of a particle orbitting the origin is negative, then it is bounded, where -∫(force)dr+(dr/dt)2/2=energy. but I am curious about a genereral case, where there are...

the force field trajectory calculator worked pretty good, so i decided to step it up and solve the famous n body problem. i used rk4 to solve it, and to verify my solution i calculate the work done on each particle and the kinetic energy of each particle at the beginning and end. it appears...

Light traveling transverse to a massive body (e.g. Sun) is deviated by an angle twice the amount predicted by Newtonian gravitational theory. This is predicted by GR and proven experimentally. What would be the deviation of a matter particle traveling near c transverse to a massive body...

Hello, first of all I know this post for help is not the clearest. I am looking for quick help but not necessarily the answer. I know I can solve the math of the problem but I am having trouble analyzing and setting up what I have. So I am asking for help with the approach. Homework Statement...

Homework Statement A body (let's call it a rod for simplicity) is in frictionless space, and is composed of 4 smaller sub-rods fused (cannot break) end to end. Each sub-rod has a unique mass (m1, m2, m3 and m4) and length (l1, l2, l3, and l4), but they all have the same diameter d. A force...

Hi all, I should start by saying I'm an amateur at mathematics so please excuse me if the question seems a bit daft. But I'm just reading a book about chaos and complexity theory (John Gribbin: Simply Complexity) and it brought up a problem that I've certainly heard of before; the 'three body...

Homework Statement Coriolis Force - Explain how the following situations would appear in both the inertial and non-inertial reference frames. Assume the inertial frame to be a view from above. Situation 1 - a ball is thrown from the centre of a merry-go-round which is rotating...

Hey! :o The potential energy of a body with mass $ m=3 $ is given by the function $ U(x)=\frac{2}{5}x^5$. Initially the body is at the position $x=0$ and has velocity with metre $1$. How can I find what kind of motion the body will do?? I have done the following: $$F=ma=3v'=3x''$$...

I was just wondering, are there any waves that can pass through the human body in a straight line, without being distorted or refracted in anyway?

SOLVE THIS PROBLEM And this is the figure I need the free body diagram because the book solve this problem in this way the force normsl is n = fcosx the verticall componente is fsenx = w + miuN why does the fr is vertical in this case?

Hello guys, I read some articles recently about how touchscreens work by using the capacitance in human bodies. I'v seen the human body capacitance is quoted at around 100pf, is it the same when the human body is floating in mid-air, as if it is standing on the ground? My goal is to detect...

Homework Statement A uniform bar of length 2l is rotated in a horizontal plane about its mid-point as center with an angular velocity ω. This case must be reduced to a problem in statics by the application of d'Alembert's principle, the "forces" acting being "centrifugal" forces. a) Plot...

I've posted a method below. I'm experimenting with local variable declarations in java. Actually, a compiler error in eclipse has made me reconsider what I understand about local variables. Why can't the local variable, String final, be created inside my if statement? Why, instead, would...

According to Pascal Law, when there is an increase in pressure at any point in a confined fluid, there is an equal increase at every other point in the container. Then why doesn't our entire body experiences the same pressure throughout the body when we press our finger. Isn't the entire body...

Holla peeps,in the nearest future I hope to make a rc helicopter. I've done a series of researches and so far things are falling into place but I've just hit a hard rock. All model Rc I've seen are either made of aluminum, plastic or panel boards so am wondering what about balsa wood? Its light...

What is Angle of repose? All I know is something related to the body on an inclined plane slipping or at rest. Can someone explain?

Can anyone explain how we acquire vitamin D or which chemical reaction takes place ?

This may seem like a strange question, I'm trying to differentiate between the spectra from a plasma and the spectra from a black body, is there a difference? I'm thinking the spectrum from a plasma would be that of bremstrahhlung as it is ions flying everywhere, so it would not be possible...

Hello I have a question that's been bothering me for a while now and I figured I'd post it here to see if anyone could put my mind at ease. (Sorry if I accidentally posted this in the wrong place) Given that people can only withstand a certain amount of force on their bodies (about 5 Gs)...

Hello I was thinking, in the world in general, there are many people who would actually prefer to do hard labor over mind stimulating work. Even in my own studying I often get pain in the head and frustration. It doesn't take (relatively) too much thinking to get me to get up and take a five...

Homework Statement See the attachment, I am stuck as to how the summation sign \sum_{b\neq a}^{} in (2.1.1) ends up as \sum_{ab}^{} in the term with the red dot above (2.1.5). Homework Equations The Attempt at a Solution As I understand you end up taking the product of two summations such...

Hi. I am trying to calculate the 'kicking out' force created when an object topples over. Attached is a picture of what I mean. The body in the picture topples in a clockwise direction as shown, with its initial pivot point at 'a'. The centre of gravity of the body is shown as cg. Now I have...

[SIZE="4"]Definition/Summary A free-body diagram is a diagram of all the contact and non-contact forces acting directly on a body (in a non-inertial frame, that includes "fictitious" forces). Indirect forces (such as the weight of a different body), and internal forces, should not be...

Homework Statement It is given that the period of Mercury is 87.9 days and the angular speed of Mercury is 8.27*10^-7 I am asked to find the radius of Mercury. I have no idea how to calculate the radius just the two pieces of information given. Should there also be the linear velocity of...

What is difference between iron that we use in food...and iron metal

In regards to the Lotus Elan from 1962, my book H-point says that Colin Chapman used the prop shaft tunnel as ''backbone'' to the body structure. Can someone please elaborate on this? Does this mean that the structure of the prop shaft tunnel acted like a stiffener for the entire body...

Homework Statement A small body A is fixed to the inside of a thin rigid hoop of radius R and mass equal to that of the body A. The hoop rolls without slipping over a horizontal plane; at the moments when the body A gets into the lower position, the center of the hoop moves with velocity v0...

After calculating the gravitational PE using : PE = ( G * m1 * m2 ) / d Then i split the result into KE between the two bodies according to the ratio of the masses, then calculated the individual velocities from those (based on KE = ½ * m * v ²) Any comments ?

Homework Statement Two masses m1 & m2 in free space are released from rest at a distance D and draw together under gravity to a distance d, calculate the final velocity of each mass. Homework Equations Final total KE of both bodies at d from : KE (t) = ( ( G * m1 * m2 ) / d ) -...

Homework Statement A 5.0kg mass is suspended from the ceiling. A horizontal force F is applied to hold the string in position as shown http://i.imgur.com/ZdR72ff.jpg Determine the reading of F on the spring balance by using a scale diagram Homework Equations None The Attempt at...

When I was in school (over 20 years ago in a backwoods town), I leaned all kinds of wrong things about science. I think this might be one of those things. Back then we were taught that—hypothetically—if the Sun were to instantly, inexplicably, be reduced to the size of a basketball (while...

'Slow-active suspensions realize small switching frequencies to control low-frequency body movements,such as roll pitch and lifting motions.Fully-active suspensions reach switching frequencies,like semi-active suspensions,greater than the natural eigen-frequencies of the vehicle.'- an excerpt...

It is given in my book that the phenomenon of black body radiation can be used to prove the particle nature of light. They have also mentioned that the wavelength-intensity relationship "cannot be explained satisfactorily on the basis of wave theory of light." But why? Thanx in advance...

Here is the problem : Two heavenly bodies (m1 and m2) (non orbiting) in free space at a distance D are released from rest and allowed to approach each other under gravitational influence to a final distance d. This is the way I've worked the problem : The total potential energy difference...

when the body rotates with uniform motion then the normal acceleration is V^2/r. but what is the normal acceleration when the motion is in non uniform circular motion let's say when body has uniform tangential acceleration.

Consider an unbreakable nail. A nail of length 10cm moving at 0.866c. If i stop the nail by hitting its cap, would the tip end countinues to travel?

I'm having trouble with this line from Goldstein-"the center of mass moves as if the total external force were acting on the entire mass of the system concentrated at the center of mass." If a bar is floating in space (at rest in the frame) and a point mass strikes the bar perpendicular to...

So this is some what of a silly question, I was bored and watching YouTube and there was a guy trying to say that the Earth is hollow ( crazy people are funny to watch) but it got me thinking could a planet form so that it was hollow? Or could a something like a small moon be hollowed out? I...

Homework Statement There is a body of mass 500kg accelerating at 2.5ms^-2. It experiences a frictional force of 1000N. Homework Equations Resultant Force = ma The Attempt at a Solution Resultant Force = (500)(2.5)N = 1250N The body is moving forward with a net force of 1250N A...

Can the same force increase both the translational and rotational kinetic energy of a rigid body? If yes then the work done by the force equals the sum of the increase in the translational and rotational kinetic energy?

I have a question: can the human body be expressed mathematically? If so, how would you even go about starting to map out the algorithmic structure of something that's living (which would include molecular function, cellular function, etc. etc.)?

Homework Statement Prove that the enrgy of a falling body remains constat using the derivate of a function Homework Equations We need to prove that: \frac{mv^2}{2} + mgh is constant, trhat is its derivate equals 0 The Attempt at a Solution Let the positive direction be...

I know that this question may seem a bit weird at first glance, but I've been wondering about the following. Let's consider that someone throws a rock at me. I can either: a) dodge the rock b) take the rock head on If i dodge the rock i will: produce heat moving away from the rock's path...

Homework Statement Two horizontal bars connected by a frictionless pin are released and allowed to fall and impact a fixed pin. Where must the pin impact the bars to ensure rigid body rotation? Homework Equations Conservation of angular and linear momentum, relative velocity...

I'm trying to find the appropriate formula (and abstractions to plug into it as necessary) to work out the absolute magnitude (from which I can dervive an apparent magnitude) of a solar body. I've found a lot of formula which relative absolute and apparent magnitude, but trying to find how to...

http://i.imgur.com/ZH9huJt.png Lets suppose this perfectly rigid cylinder has a uniform mass and has a length on the order of the distance between the Earth and Mars or some similar situation. This cylinder is orbiting around the Sun in a 2-body universe. What would this cylinder look like on...

Hi as far as I have understood: Blackbodies are physicsl objects which absorb electromagnetic waves at ALL frequencies. And the only light they radiate is determined by their temperature which means They don't reflect any light shined on them, they only emit Energy from their temperature...

Sorry if this question has already been considered in this Forum (I'm sure it is but I can't find it now). A rigid ball slide without friction in an horizontal plane and collide elastically with a wall, the plane of which is perpendicular to the ball's velocity. During the collision the ball...

This may be intuitively obvious to you and I'm just missing it. Say you had 3 balls each with a mass of 1g. Each moving at velocity of 10m/s on a 2D Cartesian plane. Ball 1 & 2 are moving toward the origin from opposite sides, so they are approaching each other at 20m/s. Ball 3 moving from...

Homework Statement The rod assembly shown has a ball-and-socket joint at A and a smooth journal bearing at C. The forces F1=600N , F2=410N , F3=460N , and F4=950N are applied as shown in the figure. The geometry of the rod assembly is given as a=0.900m , b=0.650m , and c=0.800m...