Law Definition and 999 Threads

So I set up 3 equation for this problem. 1st was the moment equation about point G, 2nd and 3rd were from applying Newton's 2nd law to each of the blocks. I thought once I set those equations up I could solve for alpha (angular acceleration) and then find acceleration of each block but when i...

For this problem I know how to get the answers but I have a few things I’m not 100% sure about. First how do we know that the rod is experiencing centripetal motion? Second, when using moment about point G how do we know that the angular acceleration is equal to zero? And third the radius is 0.4...

Is this right go confused with the 37 degrees Q) pV = Constant pressure of a gas is ‘10’ (kPa) and the constant ‘37 degrees celcus’ = ‘0.6’, calculate the volume that the gas. pV = C C/p = V 0.6/10 = C V = 0.06

Is the non flow energy equation just the first law equation Im writing about the first law i write the definition and that the first law equation ΔU = Q − W or can be written as Equation: Q - W = (U2 - U1). Then gave a math example using Equation: Q - W = (U2 - U1) to show the first law...

Does anyone has any documents to prove (law of lever)? Thank you!

So I calculated the final and initial pressures using the given eqns, ended up with the final pressure of 96629 and initial pressure of 62639. Then I used the PV=nRT eqn to calculate the final and initial temperatures. T=P*V/(n*1.5*R). I got an initial temperature of 81.79 and a final...

This is my understanding of the law of conservation of energy and the role non conservative forces factor into it. Could someone confirm if I have this right or explain where I am going wrong if I am? I would appreciate it. With the law of conservation of mechanical energy, ΔKE+ΔPE=0. This...

I've come to a grinding halt with this and I can't see a way forward. Can someone please take a look at what I've done so far and let me know if what I have done is OK and then if it is, give me a hint on how to proceed. First up, Is ## u \cdot \nabla \cdot T = u_\alpha...

Is the heat generated by flowing water in a pipe proportional to the product of the rate of flow and the pressure drop across the section of pipe in question, analogous to an electrical circuit? If so, what units would you plug into get an answer in watts?

I am trying to figure out what are inertial observer and inertial frames of reference. The law of inertia holds for inertial observers. Inertial observers are objects with zero net force acting on them, and move with constant velocity. Suppose we fix a set of coordinate axis in space, relative...

My solution and question are in the homework statement due to some formatting issues. Thanks.

Conceptually I have never really understood Ohm's law, other than using it in calculations. My brain just cannot understand why this equation works. I was wondering if there is some sort of gravity equivalent to perhaps conceptualise it a bit better. Voltage: would be the acceleration due to...

I'm reading about the derivation of ampere force law formula, which is $$ F=k_A \iint \frac{i'ds' \times (ids \times \vec{r})}{\vec{r}^2}$$ where K_A is mu_0/4pi. In the article that I read, they have assumed such these paths: And according to ampere's conclusion that he had from observation...

Hello, everybody: I am a philologist who is fond of mathematics, but who unfortunately has just an elementary high school knowledge of them. I am translating La leçon de Platon, by Dom Néroman (La Bégude de Mazenc, Arma Artis, 2002), which deals with music theory and mathematics in the works of...

I need to know the derivation of Cattaneo–Vernotte law. "if it has a proof"

Part (a) Ok so for (a) ##\theta_{incident} = \theta_{reflected}##, so I assume I could just consider the horizontal planes in these atoms. ##n\lambda = 2a\sin(\theta)## ##p = \frac {h} {\lambda}## ##\frac {nh} {2amv} = \sin(\theta)## ## v = \frac {nh} {2am\sin(\theta)}## I suppose the...

The experiment consists of a large field coil (connected to a current source) surrounding a coplanar and coaxial small detector coil in the center of the field coil connected to the oscilloscope. 1. Matching Current v. Time Graphs to Oscilloscope Graphs Example of one pair of graphs (I'll...

for c) i need help d) Given: Let [forward] be positive. F 1 = — 250 N F 2 = 360 N Unknown: a = ? Equation: F net= F1+ F2 F net= m a Solve: F net= (— 250 N) + 360 N = 110 N F net= m a a = F net/ m = 110 N / 220 kg= 0.5 m/s [forward] Statement: The acceleration of the boat is 0.5 m/s [forward].

Coulomb's Law $$ \vec{F} = \frac{1}{4 \pi \epsilon} \frac{q_1 q_2}{r^2} \hat{r} $$ $$ \vec{E} = \frac{1}{4 \pi \epsilon} \frac{Q}{r^2} \hat{r} $$ Let's say we want to find electric field with a distance r from charge Q. How does permittivity effects the magnitude? Will I choose the permittivity...

my answer will be ##P_1=2 P_2## but I have some doubts, if that is correct or not

Hello brothers, I have been studying much of acoustics recently, and I've been confronted by the following question: why Sabine equation is not a law? I mean, It has been used and experimented under certain conditions, and as I get it, that's what you need to call an equation a Law. I'll...

F=ma To check if this law works, we measure the left hand side and the right hand side and if they are equal then the law is working. To measure acceleration, we rapidly measure three positional measurements. Without appealing to the notion of the pull of gravity on an object, we measure the...

For example, let's say i have force acting on an object about some pivot. That object will apply an equal force about the same pivot, at equal lever arm, back. So there it seems like if the forces are in line, acting on the same pivot point, there is an equal and opposite torque. However, if i...

On examining Maxwell's third equation which is about time varying magnetic fields (Faraday's electromagnetic induction) we find that time varying magnetic fields produce loops of electric fields in space irrespective of whether a coil is present or not, if any coil is present then these loops of...

If the question was asking for (dry) volume, how would you do that?

I got stuck near the beginning, so I tried working backwards. Starting from B = (k X E0)/ω * cos(k⋅r - ωt +φ) I found -∂B/∂t = -k X E0 sin(k⋅r - ωt +φ) So now I need to find ∇ X (E0 cos(k⋅r - ωt +φ)) and see that it is equal to the above result. This is where I'm stuck though, I'm not sure...

I did part a and part b but stuck in part c. Could you help me? (Part a and b attached.)

Hi, I'm writing a short story which addresses an issue in time travel that I don't really see getting addressed, and I was wondering where I could find the original quote where it is written that mass or energy can neither be created nor destroyed? I'm aware the original won't be in English...

For a) I did Eg = Ee + Eg and tried to solve for x. I got 5.4 m but I think this is wrong. I have no idea how to do the rest, please help :')

Large wind turbines have become very efficient and have a power coefficient close to that defined by Betz. However, large wind turbines are stopped when the wind is too strong, not because they produce too much, but because their blades are subject to bending stresses which may break their...

Hello everybody To calculate the flux for the electric field I need the gauss law. There are two formula one with the integration over some area and the other is Q/e0. When do I have to use which one?

Hi all, I interested in how can I get low of motion in for orbiting particle in a uniform magnetic field $$\frac{d\vec{r}}{dt} = \vec{\omega}\times\vec{r},\qquad \vec{\omega} = \frac{e\vec{B}}{mc},$$ Of course, rotating about z' axis is very simple. \begin{equation}\label{eq:K}...

Hi, I was reading Wikipedia article on Newton's Law of Gravitation and I couldn't make sense of the following section. Source: https://en.wikipedia.org/wiki/Newton's_law_of_universal_gravitation#Limitations How could the improved law of gravitation be written? Like as shown below? Thank you...

Summary:: I am not sure about how can I write an appropriate equation to a question which include friction force and initial velocity. I came across a question that I am not sure how to write an equation.In the question, there is an object of mass m that is thrown into spring at v initial...

Why does the Zeta function show the tendency called Gram's Law? : https://mathworld.wolfram.com/GramsLaw.html And why are there "good" and "bad" gram points as defined in https://mathworld.wolfram.com/GramBlock.html ?

I'm looking at Schutz 7.4 where first he obtains the following expression for a geodesic: $$ m \frac {dp_\beta} {d\tau} = \frac 1 2 g_{\nu\alpha,\beta } p^\nu p^\alpha $$ This means that if all the components of ##g_{\nu\alpha }## are constant for a given ##\beta##, then ##p_\beta## is also...

a) So far, I have equated Ek to Eg to solve for h. 1/2(m)(27)^2 = m(9.8)h. I haven't taken the angle into consideration. I'm not sure if I have to use the x or y component. I got my answer to be 37m but again I don't believe this is correct. b) I did Ek = Eg + Ek. 1/2(m)(27)^2 = m(9.8)(3.5) +...

I'm trying to prove the associative law of symmetric difference (AΔ(BΔc) = (AΔB)ΔC ) with other relations of sets. A naive way is to compare the truth table of two sides. However, I think the symmetric difference is not a basic one, it is constructed form other relations, that is AΔB =...

The cross section for fission of U-235 is much higher for slow, thermal neutrons than for fast neutrons, for which it is similar to the geometric area. The cross section for slow neutrons seems to decrease empirically like 1/v where v is the velocity of the neutron. What is the qualitative...

I have come up with the change in height as 170 cm. My professor does not want to solve for the problem for a reason I do not understand. 170 cm is not part of the answer key. The answer according to the answer key is 65 cm. My attempt is: Initial temperature: p=F/A; (50 *9.8) / (pi * 0.05^2)...

∫ H.dl = ∫ j_f .dS = I_f ∇ x H = j_f I'm not sure how to actually solve this?

$$\nabla \times B(r)=\frac{\mu _0}{4\pi} \int \nabla \times J(r') \times \frac{ (r-r')}{|r-r|^3}dV'$$ using the vector identity: $$\nabla \times (A \times B) = (B \cdot \nabla)A - B(\nabla \cdot A) - (A \cdot \nabla )B + A(\nabla \cdot B)$$ ##A=J## and ##B=\frac{r-r'}{|r-r'|^3}## since...

I figured that T' is a common factor for both relationships and from there deduceted that T'=p2xt1/p1=v1xt2/v2. However, I don't understand how that can be further manipulated to PV=KT.

Summary:: We all know of the "law of inertia" nickname for Newton's 1st law, but is there a clever name for the 2nd as well? What about the 3rd? This may be the most inane question ever asked here, but I've spent some time searching and cannot find an answer. So many laws in physics and other...

Attached is section 33.7 from my book, which introduces Huygen's principle in order to derive the law of reflection. I am more used to the ray model rather than the wave model, so I'm constantly going to try to relate everything back to rays. Making this connection also helps with completeness...

Homework Statement:: The magnetic field at every point on the path of integration Relevant Equations:: The scenarios/situations are shown in the attached photo. "Any conductors present that are not enclosed by a particular path may still contribute to the value of B field at every point, but...

Hey, I'm totally blank on this problem, and I'm not even sure what to solve for. I'm told that the H band, which is in 1.63 μm, has an extinction law A_H = 0.591 * E(B - V) and I'm supposed to answer how big the extinction is in the H band. And I'm confused because it involves the difference...

The speed of star on the outer of are solar system is not according to the visible mass. Change the law of gravitation F = 1/r^2 to fix this. Galaxies far away are moving away with increasing speed. Change the law of gravitation F = 1/r^2 to fix this, include a repulsive force to fix. Would this...

A former colleague asked me a simple question about Faraday's law. As shown below, the configuration is just a circular conductor and a changing B field, and then tried to measure the voltage across the diameter. But I am not sure what the answer is? Any help would be greatly appreciated.