First off, sorry if this is a simple question, I'm very bad at electromagnetism.
Homework Statement
A metal ring of radius R rotates with constant angular velocity ω about a diameter. Perpendicular to the rotation axis is a constant magnetic induction field \underline{B}. Find the EMF...
Homework Statement
A uniform non-conducting ring of radius
0.816 cm and total charge 6.76 µC rotates
with a constant angular speed of 1.73 rad/s
around an axis perpendicular to the plane of
the ring that passes through its center.
What is the magnitude of the magnetic
moment of the...
Hello, I am a high school student trying to learn physics out of Kleppner and Kolenkow. Unfortunately, the solutions to some of the problems are not available online, nor is a solutions manual available, so I am unable to find out where I am wrong in some cases, such as this one. I would...
Suppose we have a rod standing vertically and then slightly disturbed so it begins to fall. After it falls through some height or angle assuming a clockwise rotational fall I can see that the left end is sliding on the surface ( for simplicity I'm ignoring friction ) horizontally. Here I assume...
1. Homework Statement
We have a bead sliding with friction on a hoop oriented vertically. First the hoop rotates about its center with rotation axis perpendicular to its plane.
Second, the hoop rotates about a vertical axis as well.
In both of these cases, are the constraints holonomic or...
Homework Statement
Oil and water are put in a cylindrical container. They can rotate at various frequency around the rotational symmetry axis.
Consider gravitational and radial forces to find the form of the surface between the fluids.
no friction, no mixing
the surface has the form of a...
Homework Statement
We have a bead sliding on a frictionless hoop oriented vertically. First the hoop rotates about its center with rotation axis perpendicular to its plane.
Second, the hoop rotates about a vertical axis as well.
In both of these cases, are the constraints holonomic or...
Homework Statement
Three stars, each with the mass of our sun (1.9891E31 kg), form an equilateral triangle with sides long. The triangle has to rotate, because otherwise the stars would crash together in the center. What is the period of rotation?
Homework Equations
F1=GM2/r2
ƩF=0...
Hi,
I have a shaft rotating at 1500 rpm. the two bearing supports at either end of the shaft, A and B, have reactions of 5kN and 3kN respectively. I need to add a single balancing mass at a point along the length of the shaft inorder to balance the shaft and hence make the bearing reactions...
Hey guys, I know it late its a little past one here. But I'm doing an assignment due tomorrow at I've been stuck on the last question for at least an hour.
Find the volume of the solid obtained by rotating the region bounded the curves
Y=absolute value of x. and y = square root of (...
Homework Statement
In a cylindrical container (with radius R) there are 2 fluids (separated like water and oil, fluid 1 lies under fluid 2) with given volumes V_i, given densities ρ_i.
You let them rotate with respective angular frequencies ω_i.
There is no friction.
Find the functions of...
Thank you in advance for your help!
The title pretty much says it all. I'm looking to write a 2D physics sim in which various objects can bounce off solid surfaces (without gravity). The objects are rotating and translating at a constant rate. We are dealing only with x and y - not z...
This isn't actually a homework question, I'm programming something, it's just what should be fairly simple math I'm just not certain how to do it.
Assume I have a normalized vector which points directly up {0,1,0}.
I also have another vector X.
I'd like to rotate vector X along the...
OK, so I'm trying to build a hyper-fast rotating disk, probably of aluminum. The tensile strength is about 200MPa (note that this is a pressure, which makes sense), and I'm trying to calculate the tensile pressure throughout the disk. The point being to find out how fast I can spin the thing...
Homework Statement
A massive cylindrical container of inner radius ##R## is rotating freely with an initial angular velocity ##w_0##. A liquid of density ρ is slowly injected into the container, until the container is fully filled except the center of the container. The angular velocity of the...
Not sure if this should be in quantum section, please move if necessary.
We know that:
1. A stationary particle with charge q is not affected by an external magnetic field. We can assume this particle is not magnetic at all, since it would allign and travel in relation to the magnetic...
Homework Statement
A homogeneous rod with a length L and a mass M rotates with an angular velocity ω in a horizontal plane around an axis passing through its end.Find the tension of the rod at a distance x from its axis of rotation .Homework Equations
The Attempt at a Solution...
Homework Statement
y = {\frac{1}{4+x^2}} on the interval [0,2], revolving about y = -1
Use either the disk/washer or shell method to find the volume.
Homework Equations
v = pi\int (outer radius)^2-(inner radius)^2\,dx
v = 2pi\int (radius)(height)\,dy
x = \sqrt{\frac{1}{y}-4}...
I came across the following example. I have a mass m' that is suspended from a massless rope which is wound around a drum of mass m. The radius of the drum is R. The drum is fixed on a shaft with bearings of radius r. I am supposed to determine coefficient of friction between the bearings and...
Homework Statement
I'm not given any signs of a correct answer in the book, so could I get a check here?
A car is driven on a large revolving platform which rotates with constant angular speed w. At t = 0 a driver leaves the origin and follows a line painted radially outward on the...
Hi suppose i had a ball on string and started to rotate it in a circle around my hand. When i increase the speed of the ball it becomes more and more horizontal.
The only forces i can think of at play is centripetal and centrifugal forces and the force exerted by my hand and gravity. Is somehow...
This is a conceptual problem which I am facing for many days.
If we convert a scenario in an inertial frame into a rotating frame, we apply a pseudo force i.e. centrifugal force radially outwards on the particle. Right?
Also if a particle is having a circular motion in any frame of...
I saw a baseball pitching machine that throws baseballs at 40-70mph with one wheel... All that wheel does is rotate and as the ball touches the rotating wheel it accelerates and comes flying out of the machine at an appropriate angle.. My question is: what is the physics behind that wheel on...
How come we can rotate a molecule at many multiples of the angular momentum quantum (rotational degrees of freedom), but we can only rotate an electron at 2 different steps (spin degree of freedom)?
Hi there,
I have never worked with Hypocycloids before so I'm unsure which equations I should be using; but I'll try and get across what I am trying to build. Essentially I am trying to create a series of hypocycloids that act in a similar manner to the "spirograph".
Goal: Three circles...
Situation:
A uniform cylinder (Mass M, Radius R) is rotating down a slope of incline θ and distance s, there are two methods which I used to calculate the final speed, one of which considered forces acting on the cylinder and the other using energy, pure rolling assumed throughout, both give...
Hello,
I have two questions that I have been pondering for some time without arriving at an acceptable explanation. The questions require a little bit of background information:
I work on rotating machinery that operate across a range of (relatively slow) speeds, and generally has a...
What I have:
A hollow cylinder filled 1/3 its dia with slurry.
Wt of cylinder is 987251 pounds
Wt of slurry is 358157 pounds
Radius of cylinder = 8.5 ft.
RPM = 7.5
Time taken = 20 seconds
What I need is :
Torque required to roate the cylinder
Torque required to rotate the slurry inside...
Okay I need to rotate a parabola on a cartesian coordinate system, y=x^2 by 90 degrees about the origin (either direction) without using piecewise, or inverse functions. Basically I am trying to use translations and deformations to accomplish this.
Anyone thoughts?
Homework Statement
A closed cylindrical canister with central axis coincident with the Z axis has a height H and a radius R. It is suspended by a rod coincident with the Y axis that passes through the canister, transecting its central axis at a height h above the bottom surface of the canister...
Hello everyone!
A few days ago I was in my university I walked in my engineering building and I saw a HUDGE pendulum! Very big and so heavy! It was hung from the celling wall, not sure of its mass though... Anyhow! I was wondering why is it when we stabilize the mass of an object equally we...
Is the weight force an apparent force ? Sorry but on the web i can't find anything.
For example if i should think about a man that is on a rotating plate,what are the apparent force ?
I think surely the centrifugal force but should i consider even the wight force of the man ?
Homework Statement
1 A particle is gently placed on a frictionless rotating turntable at a distance r from the centre.Describe particle motion from both ground and table frame.
2 A particle is at a distance r from the centre of a frictionless stationary turntable.The turntable then starts...
Says Wikipedia: "The moment of inertia is a measure of an object's resistance to any change in its state of rotation".
Now consider a rotating mass m that I would like to accelerate along its axis of rotation by a. Does this count as a "change in its state of motion"? Will it resist the...
Homework Statement
We have an uniformly charged disk with total charge q, which is rotating around its axis with constant angular velocity w. Calculate electric and magnetic field in the axis and in the rotation plane. Calculate the radiated power in one cicle.
Homework Equations...
Homework Statement
Within the xy-plane, two vectors having lengths P and Q rotate around the z-axis with angular velocities ω and –ω. At t = 0,these vectors have orientations with respect to the x-axis specified by θ1 and θ2. How do I find the orientation of the major axis of the resulting...
Rotating Coupling Pin--Mechanical Failure as a Safety Precaution
Hi everyone, I am RagingCalm, a mechanical design engineer. I hate to ask for help on my very first post but considering that I am utterly stumped and no one at the office can help me...well...ummm...help, please. :frown...
A 180 degree circular arc (i.e. a half sphere) is obvious:
When you rotate this about its two end points, you get a sphere.
What about for something less than 180 degrees (e.g. 90)?:
I believe this forms an ellipsoid, with coefficients a and b being equal, with respect to...
Hello people,
So i found out the tension in a ring rotating with constant angular velocity (in gravity free space)
Considering a small element of mass dm - tension will provide the centripetal force,
2Tsin(dθ/2) = dmrω^2
sindθ ≈ dθ
dm = m/2πr ds
ds = rdθ
T = (mrω^2)/2πNow, the other method...
Homework Statement
A thin uniform rod is attached to an axis through its midpoint. The axis is standing on a disk rotating with constant angular speed \Omega about its symmetry axis. The rod's midpoint is located directly above the rotational axis of the disk. Let \theta denote the rod's...
Is shown like this in my book:
Consider a rotating body with an angular acceleration α. There must be a tangential force component if it is rotating:
For a general point on the body we can write:
Ftan = mi * ai = mi * ri * α (1)
Multiply by ri and sum up you...
Hi guys!
I'm working some problems for our exam in a few weeks and there are a few problems we are unable to solve.
One of them is: "A homogenous rod is free to rotate without friction around one of it's ends. Find the reaction force in function of the position of the rod."
As you can see the...
I am simulating a rapidly rotating (horizontal axis, if that makes a difference) flywheel. The software isn't too sophisticated w.r.t. wind resistance, unfortunately, and seems to use the diameter of the rotating body as one of the main parameters, in addition to the velocity of the rotating...
In the case where you have a photonic clock bouncing a photon between 2 mirrors, if the mirrors are alligned on the vertical axis, bouncing the photon up and down and the overall clock traveling along the horizontal axis, then the whole thing makes sense to me. However, if you were to rotate the...
Homework Statement
This is an answer to a problem involving rotating vectors
I can't figure out what the blank spaces mean. Are there 0's there? Are there 1's? Help.
Homework Statement
http://www.brookscole.com/math_d/special_features/stewart_shared/mathematica_labs/14-multipleintegrals/p05a.pdf
Homework Equations
The Attempt at a Solution
My question concerns the (1) and (2) next to the figure of the rotating coordinate system...
Hi,
So, I am learning about induced emf. I am having a hard time grasping the idea that we are interested in the angle between the normal to the plane of the coil and the magnetic field. In the standard illustration I actually understand it, but the following question confuses me.
We are...