The way that I understand it is this. But correct me if I'm wrong. Because P=m*v, sense infinity * 0 in calculus is 1, and because the speed of light is the limit of velocity, we can express it as infinity, so p = 0 kg * infinity m/s. Is that at all right?
Hi all,
I'm trying to understand how to calculate the time dependent expectation value of the atomic dipole moment for a superposition state, and I have a good guess to check with you. Say we have
\psi = \frac{1}{\sqrt{2}} \left[ \psi _{100} + \psi _{310} \right]
at t = 0. Then, for t > 0:
\Psi...
Hi all,
Like a lot of folk on here I am interested in the idea of a CMG used to stabalise a single track vehicle.<< Link to CMG info added by Mentor >>
https://en.wikipedia.org/wiki/Control_moment_gyroscope
I have designed this;
the pink discs spin in opposite directions and the pendulum...
Homework Statement
A 45-m long wire is coiled so that it makes a coil containing 100 circular loops, one on top of the other. If the wire carries a current of 13 A, what is the magnetic dipole moment of the coil?
21 A·m2
6.7 A·m2
3.3 A·m2
2.6 A·m2
1.2 A·m2
Homework Equations
B(z) = u0/2pi...
Hi,
I am having trouble understanding how the signs were obtained in the moment calculation.
When I imagine the 600 N force acting on the moment arm, it moves CW which would give it a negative value. When I solve the problem I end up reviving Ay and Cy values that are swapped with the book.
Homework Statement
Homework EquationsThe Attempt at a Solution
First i Found the external forces. Ax =0 , Ay = 8Kn, Jy=8Kn and P = -16Kn
Then i took moment about point G to eliminate FH and EG and so was able to find CH = 14.66Kn.
I am kind of stuck on how to tackle the problem further...
Looking at the image below, we have the function
z^2=\frac{r^2}{a} yrevolving about y-axis. We know that y goes from 0 to "a". We also know the mass of the object (of uniform density). Do you think is my procedure correct? Do you get the same result?
Hi,
I am a bit confused about the units of MI...I read that MI of rectangle is b*d^3/12,so unit is mm^4..Also i read in wiki that unit of MI is kg.mm^2...
Both are correct,but why this difference is?
Hello,
I can't find the formula for bending moment calculation of continuous tapered beam. the cross section is I (H) form, where web is 179.5 cm flange is 67 cm, web thickness is 1.5 cm and flange thickness is 2.5 cm. And this beam changes its height to 89.7 cm all other dimensions is the...
1. Material
2. Questions:
a) (pink) Why does the author use two different values of inertia for the same slender rod ? The Attempt at a Solution
[/B]
a) I could assume that 1/3 is holding it at the end and 1/12 is holding it in the center.
But it's not interchangeable because if I chose 1/3...
Homework Statement
What is the moment of inertia round the axis of a cylinder length L, mass M and a linear distribution of mass with the radius R, zero at the center.
Homework Equations
Moment of inertia: ##I=mr^2#3
The Attempt at a Solution
The density ρ=kr. what is k? the total mass is M...
Homework Statement
Calculate the moment of inertia of a cube of mass M and edges d round an axiz, z, that passes in the middle.
Then calculate around an axis parallel to the z axis and passing on one of the edges
Homework Equations
Moment of inertia: ##I=\int r^2dm##
The Attempt at a...
Homework Statement
The profiled steel I above is topped by a " profiled C ".
Determine the moments of inertia of the structure composed by the axes
central x and y through its geometric center C.
Picture representing the problem:
Homework Equations
Profiled C and I information:
The Attempt...
Homework Statement
For F = 70 lb, compute the combined moment of the two forces about (a) point O, (b) point C, (c) point D. The moments are positive if counterclockwise, negative if clockwise.
Homework Equations
M = F d , M = r x F
The Attempt at a Solution
[/B]
Homework Statement
Two particles of mass m1 = 14 kg and m2 = 24 kg are connected by a massless rod of length 1.4 m. Find the moment of inertia of this system for rotations about the following pivot points. Assume the rotation axis is perpendicular to the rod.
A) center of rod
B) end of m1...
Homework Statement
Kepler’s 2nd law of planetary motion says that the radius vector drawn from the Sun to any planet sweeps out equal areas in equal time intervals. By considering the small area swept out by the radius vector in time dt, show that \frac{dA}{dt} = \frac{L}{2m} , where L is...
Homework Statement
Three particles, each with mass m = 0.5 kg, are fixed on a uniform circular ring of mass M = 2 kg, radius a = 0.6 m and centre O, to form the corners of an equilateral triangle. What is the moment of inertia of this system?
Homework Equations
I = Σma2
The Attempt at a...
So the following question is attached (There is another thread with the same question but no solution to what I am asking on there)
Now according to several solutions, apparently IYZ is equal to 0, and they reason this by saying that the geometry is symmetrical.
However when looking at the...
Homework Statement
Here we have two electrons rotating around z axis with angular speed w in a circle of radius R. They are on the same straight line (have difference in phase π). Find the magnetic moment.
Homework Equations
Magn. moment m=(1/2c)*∫dV [ r j ]
The Attempt at a Solution
Current...
Homework Statement
An OAB pipe is embedded in O. A cable BC = 1000N and F = ( 0,-f , 0) act on B.
Question:
Determine the magnitude of the force F as the resultant moment about the axis OA is canceled.
Picture in attachment:
Homework EquationsThe Attempt at a Solution
O=(0 0 0)
A=(1.5 0 0)...
Homework Statement
The landing gear of an aircraft is composed of a main leg OA (with a weight including the wheel is
1000N to G) and two secondary links BC and 50cm long each CD. The DC link forms an angle
θ of 30 degrees with the vertical.
a) Add the rotational equilibrium equation with...
1. The problem,
I have a beam 9000 mm in length.
assuming a x-coordinate system: supports are at the x= 1500, x= 4500, and x= 7500 positions.
there's a uniformly distributed load (let's call it w) through the length of the beam (from 0 to 9000mm)
Solve for the MAXIMUM moment. This would be much...
Homework Statement
Stress = 320 MPa
Max Elastic Moment = Stress*Z
Max Plastic Moment = Stress*S
Solve the maximum moments and compare the % increase
Beam is an I beam with dimensions: (b and d)
Top Flange = 25*10
web = 10*180
Bottom Flange = 200*8
Homework Equations
see above
The Attempt at...
Homework Statement
What is the Moment of inertia of rod about an axis inclined?
It is given as ## \frac{ML^2sin^2θ}{12} ## but how?
Homework Equations
I know MOI for axis passing through center along y-axis as
## \frac{ML^2}{12} ##
The Attempt at a Solution
Shouldn't it be ## \frac{ML^2}{12}...
Hello, I've been having some trouble with a paramagnetism problem from my Statistical Mechanics class textbook (F. Mandl, Statistical Physics, 2nd edition, p. 25). The problem is as follows
1. Homework Statement
2. Homework Equations
1. The temperature parameter
\displaystyle{ \beta =...
Hello - I've been trying to solve this for a little while, and feel I may not understand some core concepts required to solve the problem. If you have any ideas, please let me know! I would very much like to discuss how to solve this.
I am trying to calculate the bend moment from a rotating...
Could somebody check if I have done this correctly please?
1. Homework Statement
Draw the shell filling for oxygen isotopes and make predictions of their nuclear spin, parity, magnetic moment and electric quadrupole moment.
Homework Equations
Magnetic moment μ = gj j μN
Electric quadrupole...
Homework Statement
I need to calculate the position and magnitude of the maximum bending moment.
Knows are:
E=210GPa
Homework EquationsThe Attempt at a Solution
I've calculated the following:
R1=33kN
R2=32kN
From the shear force diagram I know that at 2m from R1 at the concentrated load of...
Hi,
I understand that magnetic flux is like electric current and will take the path of least resistance, but I really don't like the current analogy and here's one question where it doesn't help:
Say you've got a piece of Ferro Iron where the magnetic moments are not lined up, you put a...
Firstly apologies for not typing this out - but I need the diagram. And I have no idea where to start. I 'think' most of it is correct. BUT - I have no idea what to do with the last part of c. I thought I could just double the energy. But I'm going to get a negative energy for the system...
Hi,
Is there a way to derive the moment of inertia of a sphere without using the M of I of a cylinder? In other words, is it possible to find a sphere's from scratch? Please include a derivation in your answer, unless there isn't one of course.
What happen if you do the following version of the double slit experiment: In first sequence the right slit is open and the left is closed, and a number of electrons are sent through. Then the right slit is closed and the left is opened, and a new sequece of electrons are fired. After completing...
Hello everyone,
I would like to ask a couple of questions which are related to electric dipole moment and electric field.
First one: Let us assume that we have somehow a constant electric field. The obvious thing to say is that any material that contains a Net Charge ( moving one or not moving...
I would like to figure out Mcr(elastic critical moment) and Mpl (Maximum plastic moment) in a beam due to buckling in abaqus.
How to model material non linearity.
How to model geometric imperfection (slightly crooked beams)
Is there any way to import I section (rolled) profiles instead of...
I've been dealing with the concept of moment this whole year, in statics/dynamics but I've never really completely understood it, just rather memorized it.
What I think moment is:
If some point on a body has moment, then this means it wants to rotate. So moment is essentially what causes...
I am calculating the all reaction forces in this beam.
However, I want to ask:
By taking moment about point B, why does the moment of the UDL become 15*7*5.5 instead of 15*7*4.5
Thanks !
Homework Statement
Hi all,
I just had a quick question regarding a problem that I have to write a lab report on. The problem involves solving for the moment of inertia of a system that involves a pulley with a hanging mass attached to a spool that turns a flywheel. The solution is supposed to...
Hi,
I've been grappling with a calculation that appears to give me a good result, however my gut feeling says other wise. Could someone please check the layout and possibly confirm my final answer. Attached is the layout of the system.
The system: -There is a long arm, d1+d2 is one link. then...
Homework Statement
I am trying to work the moment of inertia for
a) rotating rod, axis through the centre of the rod
http://hyperphysics.phy-astr.gsu.edu/hbase/mi2.html#irod3
b) Solid cylinder
http://hyperphysics.phy-astr.gsu.edu/hbase/icyl.html#icyl2
[/B]
Homework Equations
I = R^2 dM
The...
Sorry to bring this question up again.
@aridno provides a nice formula of the moment of inertia I about the centroid in https://www.physicsforums.com/threads/calculating-polygon-inertia.25293/ as:
$$...
I have come up with a paradox: Ionic crystals, in which cations and anions form a lattice, seems to have total electric dipole moment!
For example, consider a one dimensional example:
##+ - + - + - ... + - + -##
In the above picture, a ##+## represents a cation and a ##-## represents an anion...
just picture what happens when you fill a 2 liter soda bottle with water (or any liquid) and try to pour it all out at once. it comes out in clumps. This means there will be competition, since all the water will try to escape all at once. the fact that there is competition means that there...
I had a discussion with my friend. He took an icecream stick and told me that if the stick was held horizontally the stick would break easily but if you held the stick vertically it would be difficult to break the stick. He said that vertically the moment of inertia is more. My question is that...
The first moment divided by the total mass is the center of mass. Now I know that a moment is a combination of a physical quantity and distance. So what is the First moment made up of? I know that moment of inertia is made up of mass times the radius (distance) squared.
Homework Statement
The L-shaped bar of mass m is lying on the horizontal surface when the force P is applied at A as shown. Determine the initial acceleration of point A. Neglect friction and the thickness of the bar.
(Sorry, don´t know how to get you a better picture)
L...