Uniform Definition and 1000 Threads

A uniform is a type of clothing worn by members of an organization while participating in that organization's activity. Modern uniforms are most often worn by armed forces and paramilitary organizations such as police, emergency services, security guards, in some workplaces and schools and by inmates in prisons. In some countries, some other officials also wear uniforms in their duties; such is the case of the Commissioned Corps of the United States Public Health Service or the French prefects. For some organizations, such as police, it may be illegal for non members to wear the uniform.

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  1. C

    Sphere of Uniform Density: Exact Solution to Einstein's Field Eqns?

    Is an exact solution to Einstein's Field Equations known for the interior of a sphere of uniform density (to approximate a star or planet, for example?)
  2. Destroxia

    An electron moving through a uniform magnetic field

    Homework Statement An electron moves through a uniform magnetic field given by B = Bx i + (3.68 Bx) j . At a particular instant, the electron has velocity v = (1.88 i +4.86 j) m/s and the magnetic force acting on it is (2.43 × 10-19) N. Find Bx. Givens B = [Bx i + (3.68 Bx)] v = (1.88 +...
  3. E

    Metric for uniform constant acceleration?

    What does the metric look like for constant uniform acceleration, say in the x-direction? ds^2 = g_tt (cdt)^2 + g_xx (dx)^2 g_tt = ? g_xx = ?
  4. 3

    Charge passing through a magnetic field of uniform magnetic flux density

    My reasoning: The magnetic force on charge q is Fm = qv x B B does not change |v|. Therefore, |Fm| is constant at time t > 0 and Fm is always perpendicular to the direction of movement of charge q. Fm behaves as a centripetal force, and thus the charge moves along the circumference of a...
  5. M

    Charge on a point P from a uniform rod

    Consider a total charge of q = 3.50 10^-9 C spread uniformly over a thin rod of length L = 0.8 m as shown. Point P is a distance H = 0.6 m away from the midpoint of the rod. Find the magnitude of the electric field at point P. Relevant equations: E = k \int \lambda dx/r^2 where \lambda =...
  6. S

    Uniform Circular Motion and Projectile All-in-One

    Homework Statement \[/B] Joey spins a laptop then he releases it, at an angle. Assuming no wind resistance, the laptop (has a rubberized case) hits the concrete and drags across the concrete for 5.3 seconds. What is the coefficient of friction between the rubber and concrete and what distance...
  7. B

    Applying a distributed load in Abaqus

    Hey all, So in relation to another question I've posted, I need to apply a distributed pressure in Abaqus on a compressor nozzle. Up to now I was just applying a uniform pressure throughout but I'm wondering how I would apply a pressure distribution? Also would it be simpler to just apply the...
  8. M

    Electron moving through uniform magnetic field

    Homework Statement An electron is fired at 4.0 x 10^6 m/s horizontally between the parallel plates, as shown, starting at the negative plate. The electron deflects downwards and strikes the bottom plate. The magnitude of the electric field between the plates is 4.0 x 10^2 N/C. The separation...
  9. Shinwasha

    Circular loop with uniform magnetic field

    Homework Statement A current carrying wire is bent into a circular loop with radius R and lies in the XY plane. A uniform magnetic field in the +z direction exists through out the plane of the loop. What is the magnetic force exerted on the loop? Homework Equations Fb = I lb sin (theta) The...
  10. K

    MHB Uniform convergence of a complex power series on a compact set

    I need to prove that the complex power series $\sum\limits_{n=0}^{\infty}a_nz^n$ converges uniformly on the compact disc $|z| \leq r|z_0|,$ assuming that the series converges for some $z_0 \neq 0.$ *I know that the series converges absolutely for every $z,$ such that $|z|<|z_0|.$ Since...
  11. D

    Uniform distribution- probabilities

    Hello, I am stuck at this exercise: 1. Homework Statement X ~ U(0, a), a > 0 and Y = min(X; a=2). - Find the cumulative distribution function of Y -Is the variable Y continuous ? Homework Equations 3. The Attempt at a Solution [/B] The density function for X is f(t)= 1/a if 0≤t≤a , 0...
  12. A

    Uniform beam reinforced with iron, how to approach?

    So I am starting to learn for the final exam a bit early and I am trying to do this problem with a uniform beam which is reinforced with iron inside. I know how to calculate this if it wasn't for the reinforcement within the concrete. I know that the purpose of the iron reinforcement is to...
  13. E

    MHB Uniform Continuity and Cauchy Sequences

    Hello, I've been attempting to do these problems from my textbook: 1. Suppose that f is a continuous function on a bounded set S. Prove that the following two conditions are equivalent: (a) The function f is uniformly continuous on S. (b) It is possible to extend f to a continuous function on...
  14. H

    Uniform Distribution Probability

    Homework Statement The wait time (after a scheduled arrival time) in minutes for a train to arrive is Uniformly distributed over the interval [0,12]. You observe the wait time for the next 95 trains to arrive. Assume wait times are independent. Part a) What is the approximate probability (to 2...
  15. A

    Uniform Circular Motion Background theory?

    Hi Guys, new poster here. I am currently doing a practical report on Uniform Circular Motion, where we had to swing a rubber stopper around attached to a length of string and mass. I have to do a write up, including the background theory. I have searched everywhere but I have found no clear...
  16. L

    Gauss's law: Why does q=0 if E is uniform?

    Homework Statement [/B] a) In a certain region of space, the volume charge density p has a uniform positive value. Can E be uniform in this region? Explain. b) Suppose that in this region of uniform positive p there is a "bubble" within which p=0. Can E be uniform within this bubble? Explain...
  17. V

    Prove This, please -- particle moving with a uniform acceleration

    Homework Statement Hi all. Please help me with this. A small particle moving with a uniform acceleration a covers a distances X and Y in the first two equal and consecutive intervals of time t. Show that a = Y-X/t². Homework Equations Acceleration is usually v-u/t i.e. rate of change of...
  18. P

    Charge density in cylinder with uniform charge

    1. A charge density ρ (charge per unit volume) is distributed uniformly throughout a non-conducting cylinder of radius R. What is the magnitude of the electric field a distance r = R/2 from the cylinder's axis? Homework Equations E ∫dA = q(interior)/ε0[/B]3. So I tried doing EA =...
  19. J

    Why Gauss's law works when charge enclosed is not uniform?

    This problem has charge that is not uniform in the inside, but it is still possible to find the electric field as a function of distance outside the slab using Gauss's law. How is this possible if the electric field is not uniform in the slab and plane? Wouldn't the electric field from the...
  20. H

    How Does Charge Distribution Affect Electric Field Above an Infinite Plane?

    Homework Statement [/B] Charge is distributed uniformly over a large square plane of side l, as shown in the figure. The charge per unit area (C/m^2) is \sigma . Determine the electric field at a point P a distance z above the center of the plane, in the limit l \to \infty. [Hint: Divide the...
  21. F

    Finding E Field at Point from non uniform charge density

    1. Portion of z-axis for which |z| < 2 carries a non uniform charge density of 10|z| (nC/m). Using cylindrical coordinates, determine E in free space at P(0,0,4). Explicitly show your integration.Homework Equations E = (1/4πε0) ∫ dQ*aR/(R2)The Attempt at a Solution...
  22. A

    Find charge density rho of a uniform shpere with radius R

    Homework Statement Find the potential V(r) inside and outside of a uniformly charged sphere with radius R and total charge q. A) Fix first the charge density ρ(r) in the two regions 1: r>R and 2: 0<r<R the results should only be in terms of q and R[/B] Homework Equations ρ= qtot/Vtot dq=...
  23. A

    Normal distribution or Uniform distribution

    Hello, I have two jobs,Normal distribution with mean of 4.5 minutes and standard deviation of 1.5 minutes for type 1 and uniformly distributed between 1 and 3 minutes for type 2
  24. P

    Average velocity in uniform circular motion

    Suppose a particle undergoing uniform circular motion completes a cycle, then ##<\vec{v}> = \frac{Δ\vec{r}}{Δt} = \vec{0}##. But then again, isn't it also the mean of the two velocity vectors at that point? And aren't those two velocity vectors equal? So if the velocity at that point were, say...
  25. C

    Dot product in uniform circular motion question -- Finding angle?

    I've attached an image of part a of the question to this thread. My question is this (the solution to these former homework problems are posted to help us study for exam, which is why know this already): The angle between the two velocity vectors is determined to be pi/2. How? I know that dot...
  26. N

    Electric field of line charge with non uniform charge densit

    Homework Statement A thin line of charge is on the x-axis from x = -L/2 to L/2. The charge density is non uniform and given by λ = ax where x are the points on the charge distribution. Calculate the electric field for all points along the y axis. Homework Equations E = kQ/r^2 The Attempt at...
  27. A

    Validity of application of Coulomb's Law with moving charge?

    Hi there, I'm trying to brush up on some of my E&M and am comparing treatments of Coulomb's Law in introductory calculus-based texts with higher level material. My understanding was that Coulomb's Law (and by extension, calculation of the electrostatic force on a charged particle using F = qE)...
  28. I

    How Do You Calculate the Electric Field from a Charged Cone?

    Homework Statement Electric field at a distance 'a' from the end of a solid uniform charge volume dq = Pdv dv = (pi)(y)(dy) A = (pi)(y) dE = f(dq) Homework Equations What is the starting integral The Attempt at a Solution limits from 0 to b (k)(p)(pi)(y)(dy) E =...
  29. H

    Centripetal Acceleration for non uniform speed

    Homework Statement An airplane flies in a loop (a circular path in a vertical plane) of radius 120m . The pilot's head always points toward the center of the loop. The speed of the airplane is not constant; the airplane goes slowest at the top of the loop and fastest at the bottom. At the top...
  30. A

    Uniform plane wave parallel/perpendicular phasor problem

    Homework Statement Homework Equations lambda= 2*pi / k Ei(z), Ei_perpendicular (z), Ei_parallel(z) eq. epsilon_r1=1, epsilon_r2=2.25 eta_1=120*pi, eta_2=80*piThe Attempt at a Solution I having trouble understanding some parts of this problem. i get k1=3.61, k2=5.42 and for d)...
  31. D

    Gravitational field owing to a uniform circular plate

    √Homework Statement Show that the gravitational field due to thin uniform circular plate of radius a at point distant R from center and on the axis passing through the center and perpendicular to the plane of the plate is given by E= -2πGρ[1-R/(a^2+R^2)^1/2] Homework Equations F= GMm/r^2...
  32. D

    Work in Uniform Circular Motion

    Uniform circular motion requires a force perpendicular to the velocity. Therefore, the work done by such a force is zero because the dot product of the force and the path is zero. So there is no energy gain beyond the kinetic energy arising from its constant speed. But if I have a mass (rocket...
  33. D.Man Hazarika

    Kinematics problem -- A lift ascends from rest with uniform acceleration

    Homework Statement A lift ascends from rest with uniform acceleration of 4m/s², then it moves with uniform velocity and finally comes to rest with uniform retardation of 4m/s². If the total distance covered during ascending by the lift is 28m and the total time for ascending 8s respectively...
  34. B

    Uniform Convergence: Understanding the Limitations and Implications

    So I'm reading "An Introduction to Wavelet Analysis" by David F. Walnut and it's saying that the following sequence " (x^n)_{n\in \mathbb{N}} converges uniformly to zero on [-\alpha, \alpha] for all 0 < \alpha < 1 but does not converge uniformly to zero on (-1, 1) " My problem is that isn't...
  35. pitbull

    Optimizing the Pivot Point for a Uniform Bar's Frequency of Oscillation

    Homework Statement Given a uniform bar of length L, which point should you hang it from (between 0 and L) so that you get maximum frequency for small oscillations? Homework Equations ... The Attempt at a Solution It seems like a basic problem, but I don´t know how to start. Could you guys...
  36. J

    Angular momentum in Uniform circular flow

    My book says that for uniform rotational flow, the velocity at any point is proportional to r (v = wr.) In vortex flow, the velocity at any point is proportional to 1/r (angular momentum is conserved.) However, in uniform rotational flow, isn't angular momentum also conserved so the same logic...
  37. Alxb577

    EM: Uniform plane wave incident on normal boundry

    Homework Statement Given a uniform plane wave in air as: E_i=40cos(wt- Bz)a_x +30sin(wt- Bz)a_y (a) Find H_i (b) If the wave encounters a perfectly conducting plate normal to the z axis at z = 0, find the reflected wave E_r and H_r. (c) What are the total E and H fields for z < 0?Homework...
  38. P

    Acceleration, Uniform Ball on Incline

    Homework Statement [/B] A uniform solid ball of mass m rolls without slipping down a right angled wedge of mass M and angle θ from the horizontal, which itself can slide without friction on a horizontal floor. Find the acceleration of the ball relative to the wedge. 2. The attempt at a...
  39. A

    Why they don't give me the same answer? dynamics of uniform circular motion

    Homework Statement So a body $m$ is on a uniform circular motion ($\omega = d\theta/dt = \text{constant}$), it is suspended by an inextensible rope with negligeable mass Homework Equations P = mg , didnt know what to put here The Attempt at a Solution So this is what the book did. What I...
  40. J

    What is the optimal format for posting physics problems on a forum?

    Homework Statement Attached file Homework Equations Attached file[/B]The Attempt at a Solution Attached fileSorry, I am in mobile, so i cant Write all the things,
  41. V

    Relativistic Uniform Accelerated Motion

    Homework Statement Hi I am supposed to calculate the distance traveled by a particle that is uniformly accelerated with acceleration equal to the Earth's gravity (i.e. a=9.81m/s^2) after 1, 10 and 100 years proper time. Homework Equations We derived in class the four vector which describes the...
  42. cseil

    Uniform circular motion for proton and 2 particles

    [Note by mentor: This thread does not use the homework template because it was moved here from a non-homework forum.] Hello, I have a problem with this exercise. I don't know if my solution is right! Could you check it, please? A proton with kinetic energy Kp is moving in a uniform magnetic...
  43. Ludwig

    Uniform Circular Motion puzzle

    The position function for a particle moving on a circle (with constant speed) is: ## \vec{r}(t)=\left \langle r\,sin(t), \, r\,cos(t) \right \rangle ## Taking the first and second derivatives, ## \vec{v}(t)=\left \langle -r\,cos(t), \, r\,sin(t) \right \rangle ## ## \vec{a}(t)=\left \langle...
  44. S

    Moment of inertia and angular velocity of a uniform disk

    Homework Statement Two particles, each of mass m, are attached one to each end of a diameter PQ of a uniform circular disk, of mass 4m, radius a with its centre at O. The system is free to rotate about a horizontal axis through A, a point on PQ such that OA = b as indicated in the diagram...
  45. AwesomeTrains

    Electrostatic Self-Energy of a uniform charged sphere

    Homework Statement Hello, I have to calculate the self-energy of an uniform charged electron with radius R. The distributed charge is e. Homework Equations The SE is given as: E=\frac{1}{2}\int dV \int dV' \frac {\rho(\vec r)\rho(\vec r')}{ |\vec r - \vec r'|} according to the problem sheet...
  46. F

    Construction Worker Lifting Uniform Beam

    Homework Statement A construction worker attempts to lift a uniform beam off the floor and raise it to a vertical position. The beam is 2.26 m long and weighs 397 N. At a certain instant the worker holds the beam momentarily at rest with one end a distance d = 1.21 m above the floor, as shown...
  47. D

    Expected value of X and Y, E[XY] for uniform random variables

    Homework Statement If ##X\sim\mathcal{U}(-1,1)## and ##Y = X^2##, is it possible to determine to ##cov(X, Y)##? Homework Equations \begin{align} f_x &= \begin{cases} 1/2, & -1<x<1\\ 0, & \text{otherwise} \end{cases}\\ f_y &= \begin{cases} 1/\sqrt{y}, & 0<x<1\\ 0, & \text{otherwise} \end{cases}...
  48. B

    Rotating Bar in uniform B Field

    Homework Statement A 1.60 m long rod rotates about an axis through one end and perpendicular to the rod, with a rotational frequency of 6.91 radians per second. The plane of rotation of the rod is perpendicular to a uniform magnetic field of 0.30 T. Calculate the magnitude of the mf induced...
  49. L

    The moment of inertia of a rod that is rotating off the end of the rod.

    Is there a formula for the moment of inertia? A thin, uniform density rod is rotating about an axis that is off the end of the rod, so it looks a bit like this: ------- | (------- is the rod and | is the axis of rotation, so the rod is rotating out of the plane of your screen) I just have...
  50. P

    Uniform Circular Motion on a race track

    Homework Statement On a banked race track, the smallest circular path on which cars can move has a radius of 116 m, while the largest has a radius of 153 m, as the drawing illustrates. The height of the outer wall is 11.6 m. Find (a) the smallest and (b) the largest speed at which cars can move...
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