Homework Statement
Find the magnitude of the magnetic induction B of a magnetic field generated by a system of thin conductors along which a current i is flowing at a point A(O,R,O), that is the center of a circular conductor of radius R. The ring is in the yz plane.
Homework Equations
[/B]...
A point mass in an uniform circular motion is continuously changing the velocity direction. To do it, it continuously need force (energy).
If we don't give any energy to the system it will anyhow continues its uniform circular motion. How it's possible, who gives the energy ?
(It's seems a...
MODERATOR NOTE - NO TEMPLATE BACAUSE POSTED IN GENERAL PHYSICS
I am having trouble attacking this problem properly and getting the right solution, which I do not have. (only know I did it wrong on exam).
Anyway, there is picture attached this is a cycle of some working material that has a...
Homework Statement
I can't understand why friction acts radially inwards when a body is rotating on a rough turntable. If the friction is removed, the body would move tangentially, hence it has slipping tendency tangential, not radially outwards, then shouldn't friction act tangentially...
Homework Statement
A 180lb pilot flies a verticle loop with radius 2000 ft at 350 mi/h. With what force does the seat fress upward against him at the bottom of the loop?
Problem 6.21
Homework Equations
##F=ma##
##F_c=\frac {mv^2} {r} ##
The Attempt at a Solution
There seems to be a...
I'm in the chapter of Uniform Circular Motion and I have a hard time understating centipetal acceleration. Until now I knew that acceleration describes "how fast velocity changes in magnitude" except projectile motion because when it reaches maximum height then g is going to change the direction...
Homework Statement
In circular motion what will be the change in velocity if initial velocity and final velocity is 2 m/s? From the left, in the 3rd diagram, if initial velocity and final velocity is 2 m/ s then what is the change in velocity? t = 5 s
Homework EquationsThe Attempt at a...
Homework Statement
Discussions of the possibility of a tangential E-field external to a current-carrying conductor must include a voltage source and a return path. Here the problem is reduced to (we believe) the simplest possible geometry. Assume that a circular conducting loop has constant...
Homework Statement
Shown in the figure attached.
Circular duct with a diameter of 150 mm, strikes a cup and exits through a circumferential slot to the atmosphere.
Mean velocity in the duct = 100 ms^-1
Air density = 1.1 kg/m^3
Dynamic viscosity of air = 19.05 x 10^-6 kgm^-1s^-1
(a) Determine...
Homework Statement
A satellite of mass m is in a circular orbit of radius R about a star of mass M. The star ejects 1% of its mass by means of a spherically symmetric wind which removes the mass to a large distance. What are the new nearest and furthest distances of the satellite’s orbit around...
Homework Statement
[/B]
∇ * B = 0 and ∇ X B = Mu * J. This is proved to hold not only for infinite wires but for magnetostatics in general.
Magnetostatics = steady current
Closed wire loop with constant current is certainly a magnetostatics example.
Magnetic field on z axis above loop around...
All, I teach physics and would like do a hands-on lab where students are using motors to investigate the concepts of angular velocity and RPM. I've searched Amazon and eBay for low RPM toy motors, preferably those that could be easily powered with a couple of 1.5V batteries. Not much luck...
We apply Gauss's law to find electric field at a point due to chaged plane or plate. But what's wrong when applying to circular disk which can also be considered as a plane?
Homework Statement
See attached diagram and statement of problem
Homework Equations
Conservation of momentum ...
mv = MV + mv/2
mv/2 = MV
V = mv/(2M)
centripetal force...centripetal force equals weight at top of circle.
MV^2/L = Mg
V^2 = Lg
V = (Lg)^.5
The Attempt at a Solution
Set V = V...
I am trying to solve for the theoretical relative decay rates of the various (m,n) modes of an ideal circular membrane, if that membrane is excited momentarily by an impulse or deformation.
I would ideally like the decays of the (m,n) modes in dB/s.
Imagine a simple isolated drum head being...
Homework Statement
A light rod ##AB## of length ##2a## has a particle ##P## of mass ##m## attached to ##B##. The rod is rotating in a vertical plane about a fixed smooth horizontal axis through ##A##. Given that the greatest tension in the rod is ##\frac {9mg}{8}##, find, to the nearest degree...
What If the velocity of particle moving in a circular orbit has increased , would the particle be no longer in circular orbit or it would go in an orbit with bigger radius?
Homework Statement
Homework EquationsThe Attempt at a Solution
As the magnet moves in and out of the coil , flux linked with the coil changes , as a result an EMF is induced in the coil . A current flows in the coil . The current depends on how fast the magnet is moved . Current will vary in...
The potential energy of a particle of mass $m$ is $U(r)= k/r + c/3r^3$ where $k<0$ and $c$ is very small. Find the angular velocity $\omega$ in a circular orbit about this orbit and the angular frequency $\omega'$ of small radial oscillation about this circular orbit. Hence show that a nearly...
Homework Statement
A circular hoop of radius R rotates with angular frequency ω about a vertical axis coincident with its diameter. A bead of mass m slides frictionlessly under gravity on the hoop. Let θ be the bead’s angular position relative to the vertical (so that θ = 0 corresponds to the...
Homework Statement
[/B]
I need to calculate de radiation field produced by a charge moving in a circular loop of radius a, considering the motion is not relativistic and zone of radiation (far field) .Homework Equations
The scalar potential is:
$$ V=\int \dfrac{\rho(x')}{|x-x'|}d^3x'$$
The...
Homework Statement
A ##5 ~kg## mass performs circular motion at the end of a light, inextensible string of length ##3~m##. If the speed of the mass is ##2 ~ms^{-1} ## when the string is horizontal, what is its speed at the bottom of the circle?
(assume ##g=10~ms^{-1}##) (Ans: ##8~ms^{-1}##)...
Homework Statement
In picture, i already solved this problem but i had a question about the bottom question..
So i solved for the acceleration and remember that i got a negative value, i then reasoned with the question and put positive value and was correct.. but then i started thinking about...
In my textbooks, the Asteroid Belt has always been illustrated as a circle.
Is this animation accurate?
https://i.imgur.com/LXR0Ulq.gifv
It never occurred to me that the belt might might be intimately connected with the Trojans.
Well ... my learning about the Asteroid Belt and my learning...
Homework Statement
There is a block of known mass m on a horizontal surface. The block is connected to a pulley via a rope. The other end of the rope is pulled vertically, downwards, with a known force F. The pulley has a known moment of inertia I and radius r.
Calculate the acceleration a of...
Homework Statement
This question is referring to the classic ball in a loop question where it is dropped from a height and slides into a loop de loop.
Derive an expression in terms of theta the velocity of the ball at the time it loses contact with the track. Theta is measured from the...
1. Homework Statement
In picture
Homework Equations
f=ma
v^2/r
The Attempt at a Solution
ΣFy=-mg - Fn = m(-v^2/r)
-55*9.8 - Fn = m(-v^2/r)
v= 16π/4.5 since circumference = 2πr divide by the rotations time taken per second = 11.17m/s
-Fn = 55(-15.6) + 55*9.8
Fn = -319
What am i doing wrong here??
If we take 1 high gravity object and 1 smaller object at a distance from the first object, the first is stationary in relation to the smaller object, and it is in orbit around the first. Will the orbit be circular the center of mass of the two? Now if we put an other object in a different orbit...
Homework Statement
Homework Equations
F=ma
τ = Iα = rF
v=rω, a=rα
L = Iω
Center of Mass/Moment of intertia equations
The Attempt at a Solution [/B]
So right now I've tried to model the force acting on the ring as it goes around the peg, but I think centripetal force is involved and I'm not...
I am writing a lab report on the effect of the radius of a string on the frequency of rotation on an object in horizontal uniform circular motion.
My hypothesis is:
If the radius of the string from the origin of rotation increases, then the frequency will decrease because frequency has an...
So I have been learning about measuring nuclei radius using electron diffraction, using sin(theta)=1.22lambda/d, doing some research I found out that is the equation for circular aperture diffraction but I don’t really understand how a group of nucleus can act as a circular aperture. Also is...
Homework Statement
A model yacht runs on a horizontal frictionless oval track as shown (viewed from above) in the figure. The curved parts of the track are semi-circles of radius ##R = 0.5 m##; the straight sides have length ##L = 1 m##. The mass of the yacht is ##m = 0.5 kg.##
A force of...
Homework Statement
Homework Equations
The Attempt at a Solution
Is the particle moving under the influence of a single central force ?
Since the force always acts towards the center , work done by the force is zero . Energy is conserved . Potential energy at a particular radius can be...
Homework Statement [/B]
Student runs 3.4 laps in 30 minutes on a circular track with a radius 100m, She begins at the western most point of the track and travels clockwise. after this she gets sidetracked by the ice-cream truck, and follows it due west for twenty seconds at 4m/s.
a) determine...
The given picture shows a circular sector with radius r cm and central angle θ (radian measure). The perimeter of the sector is 12 cm.
1. Express the area A of the sector as a function of θ. Is this a quadratic function?
2. Express the area A of the sector as a function of r. Is this a...
Homework Statement
What is the distance from the Earth's center to a point outside the Earth where the gravitational acceleration duo to Earth is 1/10 of its value at the Earth's surface?
Homework Equations
F = Gm1m2/r2
F = m1 (v2/r)
Mass of Earth = 5.98x1024
G = 6.67x10-11
The Attempt at a...
I don't understand something. At the center of N circular loops, the magnetic field is μ_0NI/2a. And that for a solenoid is μ_0nI. Why are they not the same when the number of loops is large and the length for the solenoid is long?
I and my teacher argued whether a uniform circular motion in polar coordinates is considered to be a motion in one dimension or it's a motion in two dimensions.
Homework Statement
My title was supposed to say "Finding the radius of the satellites circular orbit" but I can't seem to edit it.
<< Mentor Note -- Title fixed for you >>
A 500 kg satellite experiences a gravitational force of 3000 N, while moving in a circular orbit around the earth.
a)...
Good , i want to derive the formula for field of a circular loop around its axis
but i was stucked with the following point:
they consider dl perpendicular to r ! why is that??
many thanks in advance!
Am I trying to solve a simple equation, but get stuck at the basic. I have have a spring with a cube attached to it (1kg). When I pull it with 5N, the spring extends to 50mm =amplitude, (Hooks law) the koefitient is 120. The determined absortion coeffitient is 0,2^-1s. I tried to get the...
Good day all
I'm looking for the proof of stress generated in case of skew bending applied in acircular cross section ( I browsed internet the whole day without finding anything convincing)
we use
with
many thanks in advance!
In Special Relativity, acceleration at high speeds causes time dilation and length contraction. Is it fair to restate this as; Acceleration at high speeds causes curvature of spacetime?
In General Relativity, curvature of spacetime causes acceleration.
Acceleration at high speeds causes...
Homework Statement
A satellite is in a circular orbit (radius R) around a planet of mass M. To change the satellite's orbit the engines fire and its speed is suddenly doubled. The engines fire for a very short time. Determine the length of the semi-major axis of the new orbit.
Homework...
Hello, I can't seem to arrive at a result that my book states using Jones vectors for circular polarization. My book says that the unit jones vector for right circular polarization is $$ \begin{bmatrix} 1 \\ -i \end{bmatrix} $$ However when I apply this jones vector to an arbitrary electric...