Applies to questions of primarily educational value - not only questions that arise from actual homework assignments, but any question where it is preferable to guide the asker to the answer rather than giving it away outright. Please READ THE GUIDANCE IN META before asking homework-like questions.

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0
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14 views

Calculating acceleration en velocity up a slope

let's say you have a object at rest. This object weighs 300 gram. The object here needs to get up a slope of 30 degrees that's 1 meter long. It needs to get get to the top in 4 seconds. Thing is it ...
1
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2answers
31 views

Derivation of velocities in the Coriolis force

In Fitzpatrick's Newtonian Dynamics book on the Coriolis force, he states \begin{align} v_{x'}&\simeq V_0\cos\theta-2\Omega t V_0\sin\lambda~\sin\theta \tag{433}\\ ...
0
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0answers
20 views

Computing the Ricci Tensor for a Spherically Symmetric Spacetime

For a homework question, we are given the metric $$ds^2=dt^2-\frac{2m}{F}dr^2-F^2d\Omega^2\ ,$$ where F is some nasty function of $r$ and $t$. We're asked to then show that this satisfies the Field ...
0
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0answers
26 views

Variation of Lagrangian expression [on hold]

Can someone please show me how to vary the Lagrangian below with respect to $h_μν$? It is supposed to lead to the linearized Einstein tensor as shown in Sean Carroll's book on Spacetime Geometry 2004 ...
0
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1answer
20 views

Falling dominoes

I have been attempting to determine the maximum velocity a line of dominoes can reach. I have found that there are two forces which act upon it: Initial impulse and gravitational force. As kinetic ...
0
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2answers
19 views

Entropy change in irreversible heat flow

For an irreversible heat flow from an object $A$ at temperature $T_A$ and another object $B$ at temperature $T_B < T_A$ , I'd like to know how to evaluate the change in entropy using the following ...
1
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2answers
36 views

Deriving the particular solution for a damped driven harmonic oscillator [on hold]

I was hoping someone could help me check my work on this problem involving a damped driven harmonic oscillator. The question is: Consider a damped driven harmonic oscillator, for which $\beta = ...
0
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0answers
30 views

Symmetry Group of system to a given Hamiltonian

I want to determine the symmetry group of the following system: I consider a charged particle in a spherically symmetric potential $V$ and a homogeneous electric field of magnitude $E$ in ...
-3
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0answers
22 views

Why, Brush may start moving when placed on a vibrating horizontal surface? [on hold]

A brush may start moving when placed on a vibrating horizontal surface. Investigate the motion.
-1
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0answers
19 views

Projectile motion with respect to integrating equation of motion [on hold]

Explain projectile motion with the help of "integrating equation of motion"
0
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0answers
47 views

Rotation systems. Problem interpreting an equation

In this equation: Why is $(\frac{d}{dt})_r \bf{\Omega} \times \bf{r}=\frac{d\bf{\Omega}}{dt}\times\bf{r}+\bf{\Omega}\times \bf{V_r}$ In particular, I have qualms with the term ...
0
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0answers
25 views

Probabilities with a qubit

A two-state quantum system has orthonormal energy eigenstates ψ1 and ψ2, with energy eigenvalues E1 and E2 = E1 + ∆E (∆E > 0). These energy eigenstates form a complete set of wavefunctions for the ...
1
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1answer
31 views

Why is cross section inversely proportional to wavelength for interstellar scattering?

The following problem was part of a homework for my Cosmology class: Compare the probability of interstellar scattering of photons of yellow light (5000 angstroms) and 50 micron infra-red light. ...
0
votes
1answer
43 views

Finding Lagrangian with Non-holonomic constraints

I am stuck working on a problem that involves finding the Lagrangian for a free particle constrained to move on the surface of a disk of radius $a$. The particle collides elastically with the edge of ...
0
votes
2answers
43 views

What unit would the answer be in?

So I have used this formula: $$W= PV_1 \times \ln\frac{V_2}{V_1}$$ and I have converted my values to cubic meters and pascals. So Work Done, $W$, what would be the unit for that answer? I already ...
0
votes
1answer
22 views

Scale factor and energy density

I'm looking at some solutions of the Friedmann equation at this website: Solutions to Friedmann equation If I look at the first problem (Problem 1: matter or radiation in a flat Universe) and click ...
0
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0answers
32 views

Radially free falling observer [on hold]

I am a student. i read in a paper for a radially free falling observer in a Schwarzschild metric, the relation between the Unruh vacuum state and the proper time when the observer crosses the event ...
-2
votes
0answers
20 views

How to write Laplace equation for this problem? [on hold]

How to write Laplace equation in below example. we have two plate with surface S,If we have charge surface density in boundary,obtain potential between two plate. explicitly explain for me how to ...
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0answers
15 views

Postion of a cylinder rolling down an inclined plane [on hold]

I know that the acceleration of a uniform cylinder of known mass rolling down an inclined plane WITHOUT slipping with an inclination of $\theta$ is: $\frac23 g \sin\theta$. Suppose this term is called ...
0
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0answers
38 views

Green function integration problem [on hold]

When I'm trying to find the Green Function of Helmholtz equation for a cube $0≤x,y,z≤L$ $$\nabla^2u+k^2u=\delta(\vec{x}-\vec{x}')$$ where $u=0$ on the surface. I set to find the green function where ...
1
vote
1answer
27 views

Finding the potential between two spherical shells [on hold]

How to find the potential in region $a<r<b$ I know that the general solution for Laplace's equation is $$V(r,\theta)=\sum_{l=0} \left[A_l r^l +\frac{B_l}{r^{l+1}} \right]P_l(\cos{\theta}).$$ ...
0
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0answers
21 views

Capillary action height

How to calculate height of the liquid (let's say it's water) in the capillary (so height of capillary action) if you only have r given, r = 0.3 mm - r is radius of capillary. The equation I would use ...
0
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0answers
16 views

Equal volumetric rate versus area open to flow [on hold]

A vertical water disposal well has been drilled and cased. There are two horizontal rock formations that the wellbore intersects and these formations will be targeted for water disposal. To allow ...
1
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0answers
44 views

Does the magnification equation help you determine the type of eyeglass lenses? [on hold]

While picking up a pair of eye glasses dropped by a friend, you notice that they form an inverted image of the background and that the image is stretched horizontally as well. Your friend suffers ...
0
votes
1answer
30 views

Comparing voltages of Parallel and Series circuits

There are two electric circuits. Resistor 1 ($R_1$) connected with resistor 2 ($R_2$) by series circuit $R_1$ connected with $R_2$ in parallel Each of the circuit has battery with emf and the ...
0
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0answers
35 views

Inverse of a 3x3 matrix! I need some help! [migrated]

I have this 3x3 matrix $$E_{ij} = g_{ij} + \bar{\epsilon}_{ijk}z^k$$ and want to derive its inverse. I know that its inverse is given by $$(E^{-1})^{ij} = \frac{1}{1+z^2}(g^{ij} + z^{ij} - ...
-2
votes
1answer
40 views

Defining the Hamiltonian and obtaining equations of motion for physical system [on hold]

I have a relative simple mechanical system, that is modeled with 3 point masses and 3 links. There is an input force F working in the vertical direction and 2 torques $\tau_1$ and $\tau_2$. All ...
0
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0answers
26 views

Cohen Tannoudji solutions to exercises

Does anyone know where to find the solutions to the exercises of Cohen-Tannoudji's Quantum Mechanics? I am gonna try to do all of them and would like to check.
0
votes
0answers
22 views

Diameter of aluminium ring after it expands [on hold]

An aluminium ring has diameter $200.00$ mm at $25.00^0C$. What would be its diameter at $325.00^0C$? $\alpha$ for aluminium is $7.500 \times 10^{-5}K^{-1}$. Thanks for your help.
3
votes
1answer
88 views

Proving $[a_k^\dagger, a_q^\dagger]=0$

I am trying to prove the commutation relations between the creation and annihilation operators in field theory. I was already able to show that $[a_k, a_q^\dagger]=i\delta(k-q)$. I want to show that ...
1
vote
2answers
19 views

Understanding a graph of energy conservation with bounded and unbounded motions?

This graph is from the physics undergraduate text "Classical Mechanics by Douglas Gregory". Above this graph was the statement: What I didn't understand is- as stated in the under [*paragraph], ...
1
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0answers
26 views

Calculating rotation using moment of inertia [on hold]

I have an object A. I know its theoretical moment of inertia. I have a string wrapped around object A. I then apply a certain tension to that string, causing the object A to spin for a certain amount ...
0
votes
0answers
33 views

Time derivative of Magnetic Field as Source for Electric Field [on hold]

Show the following directly, and not by analogy with Ampere's law: $$ \vec E ( \vec r, t) = \frac{1}{4\pi} \int d^3r' \frac{(\vec r - \vec r')\times \frac{\partial \vec B (\vec r, t)}{\partial t} ...
1
vote
1answer
37 views

Equivalent tensor order parameters of nematic liquid crystals?

I found in the literatures two different definitions of the tensor order parameter of nematic liquid crystals. One is $$ Q_{ij}=\frac{S}{2}(3n_{i}n_{j}-\delta_{ij}), $$ where $S$ is the scalar order ...
-1
votes
0answers
14 views

Calculate the attenuation constant on a lossy transmission line [on hold]

$\nu$ = 10 [kHz] $L$ = 600 [nH/meter] $R$ = 50 [mOhm/meter] $C$ = 80 [pF/m] $G$ = 0 So the question on my test was what is $\alpha$, the attenuation constant? The answer is $\alpha$ = 0.25 [1/km] ...
1
vote
1answer
29 views

Fluid dynamics - immiscible liquids

Question: A U-tube of uniform cross-section is partially filled with a liquid I. Another liquid-II, which does not mix with liquid I is poured into one side. It is found that the liquid levels of the ...
0
votes
0answers
16 views

Capacitor energy density and power density, units conversion [on hold]

I would like to know how to calculate the energy density and the power density for capacitor using these 2 equations: $$ E \left(\rm\frac{Wh}{Kg}\right) = \frac18 \frac{\rm C\left(\rm ...
1
vote
0answers
25 views

Weight of a hemispherical bowl and a mass $m$ [on hold]

A particle of mass $m$ is A hemispherical bowl of mass M rests on a weighing scale. The inside surface of the bowl in frictionless. A particle of mass m is released from rest at the top of the bowl ...
0
votes
1answer
23 views

Problems with calculating Strontium-90 leakage due to Fukushima accident

Not long ago there was a spill of radioactive water at the Fukushima plants. Here are the data: $230 \times 10^6 \,\,\mathrm{Bq}$ of beta radiation are found in a liter of water. $t_{1/2} = 28.79 ...
0
votes
0answers
28 views

How to derive a new form of Hamiltonian operator in quantum mechanics using canonical commutation relation?

How does one derive $$\hat{H} = \frac{1}{2}\hat{p}^2m(\hat{q}) - \frac{i}{2}\hat{p}\frac{m'(\hat{q})}{m^2(\hat{q})} + V(\hat{q})$$ from hamiltonian $$\hat{H} = \hat{p}\frac{1}{2m(\hat{q})}\hat{p} + ...
0
votes
1answer
27 views

Separation distance of bright fringes in double slit experiment

so I'm working on homework problem that seems like it should be pretty straight forward but the computer won't accept my answer. The question is below. A double slit aperture with slit separation ...
0
votes
1answer
32 views

tangential acceleration and angular acceleration [on hold]

$$r= 2 \text{ m}$$ $$a_{\text{tangential}}=\frac{\pi}{4} \text{ m/s}^2$$ for half a turn What is the angular velocity from rest of the circular path? $$a_{\text{angular}} = ...
2
votes
1answer
46 views

Energy in harmonic oscillator [on hold]

The expectation value of the potential energy is exactly half the total according to Griffiths. Is that case always true for quantum harmonic oscillator? Is that the case also for classical harmonic ...
1
vote
1answer
26 views

Heat Transfer and Thermal Energy

Some hot water radiators have a single pipe connected to them. The steam comes to the radiator and the water leaves in the same pipe. The steam and the water are both at a temperature of 100°C. Where ...
3
votes
1answer
112 views

1D Finite potential well: solutions with $\sinh$ and $\cosh$?

So I am studying the (one dimensional) quantum mechanical finite potential well defined by: $$ V(x) = \cases{0, &|x|>a\cr -V_0, &|x|<a} $$ where $V_0>0$ is a real number. I know ...
0
votes
1answer
69 views

Difference between a hydrogen ion and a proton

I've run into a bit of a problem on this weeks coursework. A proton and an electron initially at rest combine to form hydrogen. Find the wavelength of the emitted photon? So, as far as I can ...
1
vote
0answers
31 views

Finding conserved quantities from Hamiltonian when Symmetry is not evident [on hold]

A particle is moving in 3D space, under a potential $$V = -\frac{\alpha}{r}-\frac{\vec{r} \cdot \vec{\mu}}{r^3 } $$ where $\vec{\mu}$ is some constant vector. I need to show there are three ...
-2
votes
2answers
30 views

What does $\tau$ = $\Delta E_{c}$ mean? [on hold]

What does $\tau$ = $\Delta E_c$ mean? Can anyone help? I'm finding it difficult to find on the internet.
0
votes
1answer
57 views

Pushing over a block [on hold]

Consider a rectangular block of mass $m$ and uniform density resting on a frictionless surface. The height is $h$, the width $w$, the length $l$. Consider one of the faces with dimmensions $l$ by $h$. ...
0
votes
3answers
67 views

Forces and acceleration on rotating objects?

Suppose you have an object undergoing uniform circular motion, with force vector pointing towards the center and another force vector tangential. Can it be said that the net force pointing in the ...