What is Uniform: Definition and 1000 Discussions

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. Y

    What is a uniform vector field?

    I cannot find the meaning of the uniform vector field. I know \hat z k_x+\hat y k_y +\hat z k_z is a uniform vector field if k_x,k_y,k_z are constants. Does this means a uniform vector field: 1) Points to the same direction in all locations? 2) Have the same magnitude in all...
  2. G

    Transmission and reflection for olique incidence at a uniform dielectric slab

    1. Homework Statement A di-electric slab of thickness d is between two differing dielectric media (u0,e0/u1,e1/u2,e2). What is the total reflection at the first interface and transmission through the second interface of the slab. The incident wave is in the x-z plane with an angle of...
  3. C

    Uniform Circular Motion in a Horizontal Plane

    Hey Guys. I am having issues with one of my physics homework questions, and i was seeking help. The question is as follows: While traveling around a roundabout, John notices that the fluffy dice suspended from his rear-vision mirror swing out. If John is traveling at 8m/s and the roundabout...
  4. G

    If a uniform beam was in space and only was applied a force on one side (Stress)

    If a uniform beam was in space (no gravity or resistance of any kind) and only was applied a force F on only one side, does the inside of the beam feel a stress and deform? If so, what does the stress equal? Can you explain why/why not the beam feels a stress or not? I know that that if...
  5. D

    What Is the Correct Formula for Calculating Speed in Uniform Circular Motion?

    Can someone tell me how I am plugging this in wrong? And am I using the right equations? Thanks! Homework Statement A pilot is flying a vertical loop of radius 290 m, and at the top of the loop is pushing against the seat with a force of .25 "g's" {or Normal force = .25mg}. What is the...
  6. D

    What is the coefficient of static friction for a penny on a rotating wheel?

    Can someone look at this and tell me what I'm doing wrong? Thanks! Homework Statement You place a penny on a level rotating wheel at a point 5.00 cm from the center of rotation. You increase the speed of rotation gradually, and once you reach a rotational speed of 0.825 revolutions each...
  7. B

    Show the Cube root of x is uniform continuous on R.

    Homework Statement Let f(x)=x^{1/3} show that it is uniform continuous on the Real metric space. Homework Equations By def. of uniform continuity \forall\epsilon>0 \exists\delta>0 s.t for \forall x,y\in\Re where |x-y|<\delta implies |f(x)-f(y)|< \epsilon The Attempt at a Solution...
  8. S

    Vertical circular motion in uniform circular motion

    Homework Statement A pilot flies an airplane in a vertical circular loop with a radius of R = 1200 m. The plane is gaining speed as the pilot makes a dive, and its speed is measured to be 150 m/s when the plane reaches the bottom of the circle. If the total acceleration of the plane at the...
  9. T

    How Is Acceleration Calculated in Uniform Acceleration Problems?

    Homework Statement A drag car starting from rest and accelerating uniformly acquires a speed of 60 m/s while traveling a distance of 270m. Calculate the acceleration. Homework Equations No idea The Attempt at a Solution No idea
  10. M

    Distribution Theory - Uniform Convergence

    F: C(Omega) -> D'(Omega); F(f) = F_f -- O = Omega Introduce the notion of convergence on C(Omega) by f_p -> f as p -> inf in C(O) if f_p(x) -> f(x) for any xEO Show that then F is a continuous map from C(O) to D'(O) Hint: Use that if a sequence of continuous functions converges to a...
  11. M

    Are These Functions Uniformly Continuous on Their Given Intervals?

    determine if these functions are uniformly continuous :: 1- \ln x on the interval (0,1) 2- \cos \ln x on the interval (0,1) 3- x arctan x on the interval (-infinty,infinty) 4- x^{2}\arctan x on the interval (infinty,0 5- \frac{x}{x-1}-\frac{1}{\ln x} on the interval (0,1)...
  12. P

    Fabricating a Uniform Wire: Length & Diameter Calculation

    Homework Statement Suppose you wish to fabricate a uniform wire from a mass m of a metal with density \rhom and resistivity \rho. If the wire is to have a resistance of R and all the metal is to be used, what must be the a)length and b) the diameter of this wire? (Use any variable or symbol...
  13. A

    How can stress develop on a moving uniform elastic plank

    Homework Statement A uniform elastic plank moves due to a constant force F distributed uniformly over the end face. The area of the ned face is S and Young's modulus = E . What is the average strain produced in the direction of force ? Homework Equations E*strain=stress... The...
  14. J

    Pointwise and uniform convergence of sequence of functions

    Homework Statement show if has a uniform convergence of pointwise also we know that x gets values from 0 to 1The Attempt at a Solution for the pointwise I think its easy to show that limfn(x) as n->infinity is 0 but I am really stuck in uniform convergence I know that fn converges...
  15. T

    Confusion about the definition of Uniform Continutiy

    A function is uniformly continuous iff for every epsilon>0 there exists delta>0 such that for all x in the domain of f and for all y in the domain of f, |x-y|<delta =>|f(x)-f(y)|<epsilon. Here is what confuses me. How can there be a delta such that |x-y|<delta for ALL x and y. Since epsilon...
  16. H

    Stone-Weierstrass, uniform convergence

    Homework Statement Show that there are continuous functions g:[-1,1]\to R such that no sequence of polynomials Q_n satisfies Q_n(x^2)\to g(x) uniformly on [-1,1] as n\to\infty The Attempt at a Solution Suppose there is a sequence Q_n such that Q_n(x^2)\to g(x) uniformly for g(x)=x. Then...
  17. S

    Question on Probability & Uniform Distribution.

    Suppose a sample of random size N is taken from the continuous uniform(0, θ) distribution, and N has a discrete distribution with p.m.f. P (N = n) = 1/(n! (e − 1) ) for n = 1, 2, 3, . . . . Determine the distribution of the i) first order statistic (the minimum) of X1 , X2, . . . , XN ...
  18. G

    Location of elastic axis for uniform wing/beam

    Homework Statement For a rectangular, uniform wing or beam, where would the location of the elastic axis be relative to the mid-chord position? Also, what's the difference between semi-chord and mid-chord for a uniform rectangular wing? Thanks in advance for any help, Carl
  19. P

    Velocity of charged particle in a uniform electric field

    Homework Statement A particle of mass 0.000103 g and charge 87 mC moves in a region of space where the electric field is uniform and is 4.8 N/C in the x direction and zero in the y and z direction. If the initial velocity of the particle is given by v_y = 3.2 × 10^5 m/s, v_x = v_z = 0, what is...
  20. B

    Particle in a uniform electric field

    Homework Statement Throughout space there is a uniform electric field in the -y direction of strength E = 450 N/C. There is no gravity. At t = 0, a particle with mass m = 4 g and charge q = -19 µC is at the origin moving with a velocity v0 = 40 m/s at an angle θ = 25° above the x-axis. (a)...
  21. E

    Confined, Uniform, Electric Field

    Homework Statement An electron is originally moving at 6.8 x 107 m/s in positive x direction as it enters a region of confined, uniform, electric field. Magnitude of field is 2.6 x 106 N/C in negative y direction and its length in x direction is 6.2 x 10-4 meters. If one ignores weight of...
  22. M

    Non uniform temperature in a gas

    Hi all, Supposed if I have an air tight container, containing air with an initial pressure p0 and temperature T0. If I heat up the container from its bottom, and assuming its volume does not change, the temperature in the constainer will become non-uniform (highest at the bottom and lowest at...
  23. C

    Angular acceleration of dipole in uniform electric field

    1. The problem statement, and my attempt at a solution is given in pic Please help me.
  24. O

    Uniform Acceleration problem dealing with time and x variables?

    Homework Statement An object moving with uniform acceleration has a velocity of 14.0 cm/s in the positive x direction when its x coordinate is 3.00 cm. If its x coordinate 2.00 s later is -5.00 cm, what is its acceleration?Homework Equations deltaX=V naught t + (1/2)at^2) The Attempt at a...
  25. radou

    Equicontinuity and uniform convergence

    Homework Statement This is a nice one, if it's correct. Show that if (fn) is a sequence of elements of C(X, Y) (where Y is a metric space) which converges uniformly, then the collection {fn} is equicontinuous. The Attempt at a Solution Let ε > 0 be given and let x0 be a point of X...
  26. M

    Uniform continuity, cauchy sequences

    Homework Statement If f:S->Rm is uniformly continuous on S, and {xk} is Cauchy in S show that {f(xk)} is also cauchy. Homework Equations The Attempt at a Solution Since f is uniformly continuous, \forall\epsilon>0, \exists\delta>0: \forallx, y ∈ S, |x-y| < \delta =>...
  27. B

    Uniform convergence of integrals

    Homework Statement Hi All, I've been having great difficulty making progress on this problem. Suppose gn converges to g a.e. on [0,1]. And, for all n, gn and h are integrable over [0,1]. And |gn|\leqh for all n. Define Gn(x)=\intgn(x) from 0 to x. Define G(x)=\intg(x) from 0 to x...
  28. jegues

    What is the Uniform Electric Field Problem?

    Homework Statement See figure attached for problem statement. Homework Equations The Attempt at a Solution I don't really know how to start this problem. What should I be thinking about in this problem? We've never done a problem of this type so I'm having a hard time getting...
  29. P

    Uniform plank problem: Center of gravity, equilibrium, and torque

    Homework Statement A uniform plank of length 4.7 m and weight 207 N rests horizontally on two supports, with 1.1 m of the plank hanging over the right support (see the drawing). To what distance x can a person who weighs 454 N walk on the overhanging part of the plank before it just begins to...
  30. C

    Calculating Average Power Density of a Uniform Plane Wave

    Homework Statement A plane monocromatic electromagnetic wave propagates in the air hitting a cristal plate with an incident angle of 60 degrees. The cristal plate has an area A=0.5m^{2}, and is fully illuminated by the wave. The average power density carried by the wave is...
  31. radou

    Uniform topology and local finiteness

    Homework Statement For some reason, the uniform topology always causes me problems. So, let's work this through. Let Rω be given the uniform topology, i.e. the topology induced by the uniform metric, which is defined with d(x, y) = sup{min{|xi - yi|, 1}, i is in ω}. Given some n, let...
  32. M

    Uniform radial electric field?

    In textbooks or other texts that discuss electrodynamics at some point always the term 'uniform' is introduced to describe particularly simple (symmetric) charge distributions, electric fields, etc. In trying to imagine what a uniform charge distribution - which, of course, is a mathematical...
  33. S

    Uniform Beam (equivalent systems)

    Homework Statement A uniform beam |AE| at 2m from A there's a 500N force at 60degrees to the negative x-axis direction. At 3.5m from A (1.5m from the 600N) There's a 200j N force and at 4.5m from A there's a -100i N force acting 0.5m above the beam. i)Determine the single force which is...
  34. S

    Uniform Beam (equivalent systems)

    Homework Statement A uniform beam |AE| at 2m from A there's a 500N force at 60degrees to the negative x-axis direction. At 3.5m from A (1.5m from the 600N) There's a 200j N force and at 4.5m from A there's a -100i N force acting 0.5m above the beam.i)Determine the single force which is passing...
  35. G

    How Do You Calculate the Mass M and Support Reaction for a Balanced Beam?

    Homework Statement A uniform beam AB of mass 4.5 kg is 1.6 m long. A mass of M kg is attached to end A and a mass of 3 kg is attached to end B. The beam rests horizontally in equilibirum on a smooth support at point C, where AC = 0.5 m. Calculate the value of M and the reaction of the support...
  36. Y

    Uniform Circular Motion and Water Falling From A Bucket

    1. A 2kg bucket of water is attached to a 1.5m long string and swung in a vertical circle with a constant speed of 12 m/s. What is the minimum speed the bucket can be swung at while still retaining the water. 2. The bucket has a maximum tension force on the string at the bottom, with 212 N...
  37. M

    Uniform convergence of a series.

    Homework Statement Prove the series converges uniformly on R to functions which are continuous on R. \sumn\geq0 (-x)2n+1/(2n+1)! Homework Equations The Attempt at a Solution I'm having trouble actually figuring out what to use for this series.. It looks like a Taylor series...
  38. S

    Uniform circular motion - plane in a circular arc

    Homework Statement As a pilot comes out of a dive in a circular arc she experiences an upward acceleration of 9.0 gs (i.e. 9 x 9.8). a) Mentions that the Pilot's mass is 60 kg, already solved this b) If the speed of the plane is 330 km/h, what is the radius of the plane's arc...
  39. S

    Uniform circular motion proportionality question

    Homework Statement David spins a sling in a horizontal circle above his head. What would happen to the period of rotation if he applied the same force and the length was a) doubled, b) halved Homework Equations ac = (4π2r) / T2 The Attempt at a Solution Just not sure what to do in...
  40. S

    Uniform circular motion on a banked curve

    Homework Statement A car with mass 1200kg rounds a curve banked at 18 degrees. The radius of the curve is 130 m. Find the speed of the car if the frictional force between the tires and the road is 3.5 x 10^3 down the banked curve. Homework Equations ac = v2/r The Attempt at a Solution...
  41. D

    Find the PDF of W when W= X + Y + Z. Random Varibles, Uniform Distrubutions.

    Homework Statement 1. Let X , Y and Z be independent random variables, uniformly distributed on the interval from 0 to 1. Use Theorem 3.8.1 twice to find the pdf of W = X + Y + Z . Thm. 3.8.1 States: If X & Y are continuous random varibles wth pdfs fx(x) and fy(y), respectively then...
  42. J

    Uniform Continuity of Sequences in Metric Space

    Homework Statement Prove that f:(M,d) -> (N,p) is uniformly continuous if and only if p(f(xn), f(yn)) -> 0 for any pair of sequences (xn) and (yn) in M satisfying d(xn, yn) -> 0. Homework Equations The Attempt at a Solution First, let f:(M,d)->(N,p) be uniformly continuous...
  43. I

    Equilibrium of Two Uniform Rods over a Cylinder: Solution

    Homework Statement Two equal uniform rods AB & AC of weight W & length 2a are jointed smoothly at A. Two rods are kept freely under equilibrium over a smooth circular cylinder of radius r where axis of cylinder to be horizontal. If both rods inclined at an angle ɵ to the horizontal. Show that...
  44. L

    Paramagnetic rod in a uniform magnetic field

    Hello Physics Forums. I've read the forum on and off for a while and have always found that the folks here have given such thorough answers that I've had nothing more to contribute! :) But I finally have the need to ask a question. I work in a physics lab and we are trying to determine the...
  45. D

    Find the PDF of W = X + Y + Z on a Uniform Distribution

    I am stumped. I have that W=X+Y+Z and that S=X+Y These are all X, Y, & Z and Independent and Uniformly Distributed on (0,1) I found the pdf of S to be (Assume all these < rep. less than or equal to): S when 0<S<1 2-S when 0<S<1 So I continued: To do pdf of S+Z=W I figured...
  46. S

    Describing the circle of a uniform rod hit at one end

    I have a uniform rod laying on a table. A ball comes in and hits the rod making it move backwards but also rotating. Assuming that we are in a frictionless environment, how do describe the circle made by the rod?
  47. B

    Uniform electric field. Find the potential difference

    Homework Statement Point A (2,3)m and point B (5,7)m are in a region where electric field is uniform and given by E=(4i+3j)N/C. What is potential diff Va-Vb? Homework Equations Not a clue The Attempt at a Solution I tried converting the (4i+3j) into magnitude and that is as far...
  48. T

    Static friction, uniform circular motion problem

    So I've been pondering on this question for quite a while and I'm a little stumped. It's not a homework problem; just a problem I came across yahoo answers a week ago. Basically it's a true or false question: Homework Statement If a highway curve is properly banked and posted at 45 mph, it...
  49. V

    Center mass of uniform sheet of steel

    Homework Statement A uniform piece of sheet steel is shaped as pictured. compute the x and y coordinates of the center of mass of the piece https://tdsal.homeserver.com/photos/photos%20hosted%20on%20internet/q6%20.jpg Homework Equations cm = sum of all of the masses multiplied by...
  50. R

    Uniform field between parallel plates

    Hey, I've recently been studying electric fields, and our teacher told us that the field is approximately uniform between two charged parallel plates, ie the force acting on a unit charge is equal everywhere. This doesn't seem to tie with everything else we've been taught; surely, as you...
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