Body Definition and 1000 Threads

So my basic understanding of an integral is that it finds the area underneath a graph. I understand the idea behind an integral being the summation of f(x) * delta x, where delta x approaches zero. If I look at the integral it's telling me that there's a change in mass that is being...

It seems as though in general, the equations of motion are described with two equations which result from the definition of a Hamiltonian problem, where the problems are of the form: $$\dot p=-H_q(p,q), \dot q=H_p(p,q)$$ It is a little confusing to me how the equations of motion go from two...

I am quite confused, as I start this question. I can easily find the following when searching up Planck's law: However, this is not u. My prof is quite unclear and sometimes chooses his own variables as he sees fit, so i am not sure if this would be equivalent to what he is looking for u(λ)dλ...

Hello, I am newish in group theory so sorry if anything in the following is not entirely correct. In general, one can anticipate if a matrix element <i|O|j> is zero or not by seeing if O|j> shares any irreducible representation with |i>. I know how to reduce to IRs the former product but I...

I've attached the problem and solution as picture. To my understanding, the gear E and the rod OB are taken together as the rotating rigid body. However, the equations of motion and (##∑F = macm##) are applied to the center of mass of the rod, G, rather than the center of mass of the rigid body...

I have been studying the dynamics of free top from Morin's book. In his book when describing the dynamics,he writes down the equation of motion as shown in screenshot. However,I am not able to understand which term refers to which coordinate system. For eg: Here ##\omega## refers to angular...

This is a question about the concepts behind rigid body rotation when we use relative velocity. In general, let us say that we have a rigid body and on it are two points, A and B, which are moving with velocities vA and vB respectively. These velocities are in random directions. The theory...

Hello everyone. I find the following problem confusing. A board sandwiched between two boards in the figure below weighs 95.5N. If friction exists between the middle and the compressing boards, draw the free body diagram of the middle board. Below I attached the diagram found in the solution...

Imagine an half car model with the two suspension and two wheels. There is a torque applied to the rear wheels, that torque create the force between tire/asphalt that pull the car. How that torque react in the main body? I have two hypotesis: 1) It's only internal force that tend to bend the...

Hi i am posting this to double check my work. Please help and feel free to ask any questions. I posted a picture of my work and what i currently have. 1. Homework Statement Two small insulating objects are hung from strings attached to the ceiling. The masses of each object is 0.0076 kg. The...

For the three-body-disturbing function expanded in multipolar orders with respect to the ratio of the semi major axes, the function converges for small ratios, how to check the convergence for a certain set of parameters? I'm using the work of the Laskar in his paper "Explicit expansion of the...

Hello everyone, A rigid body is a system whose points, pairwise, always keep a constant mutual distance. Let's say the body is in a certain configuration ##C_0## at time ##t_0## (which means that each point has a specific velocity and position relative to a fixed lab reference frame) and the...

I'm forking this off another thread where I brought it up but it was getting OT. It is good enough for a first approximation but it is certainly not exact. Consider a test mass one radius from a spherical body. Work out the contributions form two points diametrically opposed on the surface...

How to find the angular speed, on which a spinning hollow cylindrical body breaks due to inertial stress(force)? I found 2 sources(http://www.roymech.co.uk/Useful_Tables/Cams_Springs/Flywheels.html (last 2 equations) ...

Hello, As many know, when an external force acts on a rigid body and the force's line of action does not pass through the body's center of mass ##c.m.##, the force will cause the body to both translate and rotate exactly about the ##c.m.##. Otherwise, the body will solely translate without...

Homework Statement is cast irion body and face centenerd cube structure? wasnt quiet sure, i thought it was both because it can solidify different temperatures one of them Homework Equations mululpe different cast irons The Attempt at a Solution

Hello. I want to simulate the Circular Restricted Three Body Problem in excel, however I don't know how to get started, even though I have the equations of motion. The Planar, Circular Restricted Three Body Problem assumes that one body, m3, is neglebtaly small, and the two other bodies move...

I read some Yogi can sleep naked at snow. Is there any scientific studies how they did it? Also what exactly regulate our body temperature? How much is the role of ATP in it?

When I derive the equations of motion for 2 or more bodies where one is rotating and the other is a mixture of rotation and translation, I get a term multiplying angular velocity squared. I know its right but I don't know what to call it. Can some help me with what to call it (it means C1*ω2...

The following are 3 equations of Planck's law or Planck's distribution function. Are they all correct? How do they derive from each other? Equation One: From page 512 of http://metronu.ulb.ac.be/npauly/art_2014_2015/shockley_1961.pdf We denote by Qs the number of quanta of frequency greater...

Since E = mc2 the if I know the mass and the energy I can figure out the constant c2, but how do I know how much energy does the body have ? How do I calculate it ?

Homework Statement ##\ddot{r} = c \frac{1}{r^2}##, where ##c## is a constant, and ##r## is the position of one object with respect to the other. I need to find the function ##\dot{r}(r)## We are in one dimension. Homework EquationsThe Attempt at a Solution I don't really have any idea how to...

Homework Statement 3. Consider R2D2 (a droid) with mass 30kg riding on a Ferris wheel with diameter 25m, with a velocity of 2.8m/s. a) Compute the free body diagram for R2D2 at the exact top, exact bottom and at both horizontal positions. Remember to include gravity. (Note: The forces act in...

Homework Statement A 2kg block is being pushed along a ceiling with friction by an angled force of 70 degrees. I'm asked only for the free body diagram. Homework EquationsThe Attempt at a Solution I figured both the gravitational and normal force would point downwards, but the force applied at...

Homework Statement A spherical body is enclosed in a spherical chamber which acts like a perfectly black body. The reflectance of the body is 0.4 and transmittance is negligible, the temperature of the body and surrounding temperature is constant at T Kelvin. The total power that comes out of...

Homework Statement A force is applied tangentially to a rigid body on a horizontal surface.if it doesn't slip find the frictional force https://ibb.co/m9sMEU Homework EquationsThe Attempt at a Solution The solution tells us to take axis about the bottommost point in contacy with the surface...

Homework Statement Homework EquationsThe Attempt at a Solution I have posted the solution, but I don't really understand about the second term in the equation. Shouldn't the angular velocity of the ball be (b dθ/dt) /a instead of ( (b-a) dθ/dt )/a in the solution?

How can I find the relation between the radiance and the energy density of a black body? According to Planck's law, the energy density inside a blackbody cavity for modes with frequency ##\nu \in [\nu, \nu + \mathrm{d}\nu]## is given by $$ \rho(\nu, T)\mathrm{d}\nu =...

So I'm planning to build an above ground concrete fish pond. The size of the inside of the pond will be (L)2000mm x (W)500mm x (D)500mm. What I want to know before I go any further is will the poured concrete walls hold the pressure of the water inside. So if I know the pressure of water I'll...

I’m trying to understand how a solid body changes the wavelength of radiation it re-radiates from that which it originally absorbed. I’m thinking in context to the way that the Earth absorbs higher frequency radiation from the sun, but when it re-emits the energy it’s at a much lower frequency...

1. Homework Statement A 60 kg block is pushed horizontally with just enough force to start its motion Accross a floor and the same force acts on it afterwards.The coefficient of static and sliding frictions are 0.5 and 0.4 respectively. Find acceleration of the body. Options 6m/s^2 4.9m/s^2...

In the 19th century Lord Kelvin made the first numerical calculation of the age of the Earth not based on the Bible.From his initial guess that the Earth started as a molten rock and that today the temperature of the interior increases at a certain rate as you approach the center, he got an age...

A freely falling body (falling in earth) accelerates with time. However, an object inside the body remains at rest (if it was initially at rest) or moves with a constant velocity if it was initially moving with constant velocity. In other words a frame fixed to the body is an inertial frame...

Black bodies are objects that don't reflect radiation. But If I shoot light beams to the sun, it doesn't reflect it , so does that mean the sun is a black body(or at least very close to a theoretical one)?

On EngineersEdge.com they have a free body diagram of a scissor lift https://www.engineersedge.com/mechanics_machines/scissor-lift.htm Can anyone explain how the Fy, Fx components are determined? What is specifically confusing to me is how Fy is opposite in direction given the system. To me...

Are astronauts allowed to have tattoos on their body? What would be the implications of tattooed body in space?

https://translate.google.com.br/translate?sl=pt&tl=en&js=y&prev=_t&hl=pt-BR&ie=UTF-8&u=https%3A%2F%2Fmisteriosdomundo.org%2Fessas-sao-as-7-falhas-que-o-corpo-humano-possui-em-sua-estrutura%2F&edit-text=&act=url What do you guys think about this article? Is there some error? Or the article is...

Sense perception, weather it is smelling,hearing, tasting, etc, how does the body know what to sense? For example, hot and cold, how does the body know what is hot and what is cold? How does it know the difference bewteen hot and cold in order to activate those specific sensory receptors for...

Homework Statement A solid body consisting in two concentric disks of masses m1, m2 and radius r1<r2 is linked through a ideal rope to a mass m which falls down with a certain acceleration. The solid body moves of pure rolling. Find the acceleration a of the mass. Homework Equations P-T=m*a...

What is the max amount of torque that could be applied to 1 in male threaded NPT pipe when it is threaded into a 1 in female threaded body that is made from ASTM 126 cast iron. The dimensions of the threaded female body are shown below.

Homework Statement Determine the forces acting on the two rods in the figure. Explain which stresses that act on the rods and the bolts holding the rods to the brackets in point A and C. Homework Equations ∑Fx = 0 ∑Fy = 0 ∑Fz = 0...

I am trying to solve problem number 4 part A and B from (http://people.physics.tamu.edu/kamon/teaching/phys218/exam/2003C/2003C_Exam3_Solution.pdf) but I am confused about certain aspects of it. In part A, I understand that since we are considering the person as a cylinder, the equation for...

Hi lads, I couldn't find this info on Google... Are the Heart and Brain the only organs which physiological functions are based on electrical impulses? What happens if we apply electrical current through other organs? Thanks

My book says If s₁ = s₂ = s, and the body covers equal distance with different speed' Then what does it mean by "the body covers equal distance with different speed'? Could you explain the concept, please?

Can we truly have a rest frame or should it be a close to rest frame? Even if I'm stationary and sitting on my porch and the observer in the car passing is moving, I'm still not at 0 velocity. The Earth is moving at 67,000 mph and the galaxy is moving at 250,000 mph. I'm never in a single...

What is the half-life of "novichok" in, and outside, a biological system? There seems to be an "epidemic" of "novichok" poisoning in Great Britain lately, and given that it's a nerve agent, my understanding is that it should be susceptible to fairly rapid decomposition/breakdown.

So i was thinking about getting a tattoo. I already have a septum piercing. Next year I am starting my math major with a minor in physics. I'm hoping to get into research later down the path. How are body modifications perceived in grad/post grad-school? Do any of you have them?

This is for a story I'm writing that involves supernatural abilities though i often try and find some grounded effect of what would happen. One of these abilities causes the cells in a target's body to be unable to divide, replicate, regenerate, etc. I'm curious as to what the effects would be...

If this is a valid enough definition of a heat engine: All heat engines transfer heat energy from higher to lower temperatures, and do work in the process. ... then is the human body a heat engine?

Homework Statement A disk is undergoing pure rolling motion with speed v. The radius of the disk being R and mass M. Then the angular momentum of the disk about the 1)bottom most and 2)top most point Homework Equations 1) L(orbital) = m*v*r where v is the velocity of cm which is...