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. B

    Uniform continuity and Bounded Derivative

    Hi, All: Let f R-->R be differentiable. If |f'(x)|<M< oo, then f is uniformly continuous, e.g., by the MVTheorem. Is this conditions necessary too, i.e., if f:R-->R is differentiable and uniformly continuous, does it follow that |f'(x)|<M<oo ? Thanks.
  2. L

    Uniform convergence, mean convergence, mean-square convergence

    Hi, I was always troubled by the relationships between these modes of convergence (L^1, L^2, and L^{\infty} convergences, to be precise), so I took some books and decided to establish some relations between them. For some, I succeeded, for others I did not. Here's what I did so far: If I...
  3. J

    I with this Uniform circular motion problem

    Homework Statement An astronaut is standing in an space station that spins. The linear speed and the centripedal aceleration that he experiences are bigger on his feet than on his head. Scientific experiments have proved that a difference of (1/100 )g won't produce this inconveniet for...
  4. X

    Uniform Acceleration Motion (UAM)

    Hello I am new here. I came here because i was trying to search for a tutorial regarding Uniform acceleration motion or UAM but i am so unlucky since i haven't found any decent ones that answers my questions. Homework Statement An automobile and a race car start from rest at the same instant...
  5. S

    Electromagnetism: Finding Electric Field of non Uniform Charged Rod

    Homework Statement Here is the question: Thin rod AB has length l=100 cm and total charge q=37 nC that is distributed in such a way that its line density ? is proportional to the square of the distance from the end A, i.e. ?(x) =kx^2. Determine electric field E at the end A of the rod. ...
  6. S

    Zero Normal force during uniform circular motion?

    I am learning uniform circular motion and the question says: A child on a sled comes flying over the crest of a small hill. His sled does not leave the ground but he feels the normal force between his chest and the sled decrease as he goes over the hill. Explain. Now, I know that normal force...
  7. B

    Uniform Motion & Speed: Acquisition & Possibility

    Hello, I was wondering if uniform motion and uniform speed were one in the same things? Also (if they are both identical) is acquisition of perfect uniform motion plausible?
  8. I

    Friction: A non-uniform surface with a uniform weight

    Hello Physics Forums! Longtime lurker, first time poster here. I've got a deceptively simple question that had my friends and me occupied (read: bickering) for quite some time during a road trip, and I thought I might pose it to you. The situation is this: we have a 2x4 piece of wood, and...
  9. C

    Center of mass of tetrahedron with uniform density

    Hi, I have 4 non-planar points P1 = ( x1 , y1 , z1 ) P2 = ( x2 , y2 , z2 ) P3 = ( x3 , y3 , z3 ) P4 = ( x4 , y4 , z4 ) what is the coordinate of center of mass of the object ( tetrahedron ) whose vertices are P1 P2 P3 and P4? ( uniform density ) Thanks
  10. J

    Question on uniform circular motion

    An Earth satellite moves in a circular orbit 589 km above Earth's surface with a period of 96.26 min. What are (a) the speed and (b) the magnitude of the centripetal acceleration of the satellite? I know I need the equations for 1) period and 2) centripetal acceleration and 3) r. 1) T=...
  11. A

    How Do You Calculate the Upward Force on a Uniform Rope Being Lifted?

    Homework Statement A long, uniform rope with a mass of 0.100 kg per meter lies on the ground. You grab one end of the rope and lift it at the constant rate of 1.20 m/s. Homework Equations Center of mass? [SIGMA]mx/M The Attempt at a Solution I honestly have no idea where to even...
  12. D

    Transformers: Uniform magnetic filed in relation to current flow

    Homework Statement In our lab about transformers we have a question as follows: Consider a loop in a uniform magnetic field. If the field is suddenly turned off, in which direction will the current flow in the wire? Homework Equations The Attempt at a Solution My first thought...
  13. T

    Uniform redshift in inflationary model?

    This question might be a result of perceptual ignorance but still: In explaining an inflationary cosmological model that postulates a prime singularity (i.e. starting with a Big Bang) some tend to associate it with "dots on an inflating balloon". Doesn't this imply that the "dots" that are...
  14. O

    Friction on bicycle wheels in uniform circular motion

    On pedaling a bicycle along a straight line, the friction act forward on the rear wheel and act backward on the front wheel. If I turn its handlebar so that the front wheel is at a certain angle (say theta) and pedal it in uniform circular motion, what would be the direction of the friction...
  15. K

    Finding the moment of inertia of a uniform square lamina

    http://img20.imageshack.us/img20/9443/ssssnm.png parallel and perpendicular axis theorem for moment of inertias So i solved the Moment of inertia for the large square through the perpendicular axis through a, (1/3)*M*(l^2), where l is 4a/2=2a, using the perpendicular theorem, Ixx+Iyy=Izz, we...
  16. H

    Electrons in uniform electric field

    Homework Statement http://dl.dropbox.com/u/305636/yeephysics.jpg If that doesn't work, the problem states: A pair of parallel metal plates, 100mm long and a distance of 20mm apart are set up in an evacuated tube as shown. A potential difference is applied to the plates, creating an...
  17. Femme_physics

    Uniform circular motion with a pendulum

    Homework Statement http://img685.imageshack.us/img685/9250/drawingmo.jpg In the drawing is depicted a pendulum hammer of an impact device (in both projections). The hammer is made out of shaft AB which upon it is held pendulum OM. At point M of the pendulum is a hammer. According to...
  18. Femme_physics

    Uniform circular motion problem

    Homework Statement http://img200.imageshack.us/img200/2524/drawingsave.jpg Weight W that's 15 [N] does circular motion around shaft AB in a frequency of 300 turns per minute A) calculate the max tension force on shaft CD [there's another clause, but I rather just try A for now]The Attempt at...
  19. A

    Uniform electric and magnetic field

    Homework Statement a particle with initial velocity Vo=6.00 x10r^3 m.s-1 in the +x direction enters a region of uniform electric and magnetic fields. the magnetic field in the region is B=0.300 T in the -y direction. calculate the magnitude and direction of the electric field in the region if...
  20. Femme_physics

    Uniform circular motion - simple problem

    Homework Statement A girl is running around a circular fountain with a diameter of 6.5m. If it takes her 72 seconds to run all the way around, what's her angular speed? The Attempt at a Solution I appear to be getting a wrong answer: (look only at the thick black marker)...
  21. B

    Transforming a uniform distribution into a binomial

    Homework Statement Let X~UNIF(0,1). Find y = G(u) such that Y = G(U)~BIN(3,1/2) Homework Equations The Attempt at a Solution after a bit of searching/reading, i found how to do this with a continuous distribution (the problem i had was an exponential, so i took the inverse)...
  22. S

    Explaining the Context of $\nabla\times A=0$ with a Uniform Y-Component of A

    I came across in a journal that for a \nabla\times A=0 where A is vector, if y-component of that A is uniform then author claims that y-component of curl of a A is zero? Can anyone explain the above context?
  23. C

    How Do You Calculate the Center of Mass for a Non-Uniform Object?

    Could anyone help me figure out a formula to calculate a Center of mass for a non uniform object. In my case it would be a "shell" that would go over a body of a solar car. If anyone could help me that would be great.
  24. P

    Very Simple Uniform Circular Motion Derivation

    Homework Statement This is a very easy derivation (I think), I forgot how to do it though. How do you derive a = \frac{4\pi^2R}{T^2} or a = 4\pi^2Rf^2? Homework Equations The Attempt at a Solution They both mean the same thing since T is Inverse Frequency but I don't understand how...
  25. C

    Uniform linear, circular and rotational motion

    In uniform linear motion, an object moves at a constant speed v0. And as long as no acceleration is applied onto the object, it will continue move at the same speed and direction forever. For uniform circular motion to happen, an object must move at a constant speed v0 with a constant...
  26. B

    How Do Support Posts Affect Equilibrium in a Planked System?

    Homework Statement A uniform plank 10m long and of mass 40kg is supported by two posts...? A uniform plank 10m long and of mass 40kg is supported by two posts, the first 1m from the left end and the other 6m from the left end. A mass of 10kg is placed 8m from the left end. Find the force...
  27. D

    Showing the uniform convergence of a gaussian function-like series

    Homework Statement Prove that the series \sum_{n=0}^\infty e^{-n^2x^2} converges uniformly on the set \mathbb{R}\backslash\ \big] -\epsilon,\epsilon\big[ where \epsilon>0Homework Equations n/aThe Attempt at a Solution I have tried using Weierstrass M-test but I have not been able to find a...
  28. K

    Gravitational ep in a uniform field

    Homework Statement A 10.0 kg box is slid down15.0 m along a 20.0o ramp. The force of friction is 40.0 N. What is the change in the gravitational potential energy of the box? Homework Equations W=Fdcos of theta The Attempt at a Solution W=(40 N)(15 m)(cos 20) =563.8J The actual...
  29. K

    Gravitational ep in a uniform field

    Homework Statement It is estimated that 3.0 x 1010 kg of water flow over Niagara falls each hour. The height of the fall is 65 m. What is the total gravitational potential energy of the water relative to the bottom of the falls that falls in one hour. What is the power represented by the...
  30. L

    Uniform Convergence of Sequences

    Homework Statement For each of the following sequences (fn), find the function f such that fn --> f. Also state whether the convergence is uniform or not and give a reason for your answer. Homework Equations a.) fn(x) = 1/xn for x greater than or equal to 1 b.) f[SUB]n[SUB](x) =...
  31. B

    Uniform convergence ( understanding how to apply a theorem)

    Homework Statement show a function f_n is not uniformly convergent using a theorem: Homework Equations if f_n converges uniformly to F on D and if each f_n is cont. on D, then F is cont. on D The Attempt at a Solution not really sure what to do. use the contrapositive? would that...
  32. L

    Find Confidence Interval w/o Formula: Uniform Distribution

    i am given a set of numbers. I have already found the mean, standard deviation, etc. i am now asked to find the confidence interval. but was not given a formula in order to compute this. does anyone know one?
  33. Oxymoron

    Uniform Distribution Transformation

    Homework Statement A random variable X is distributed uniformly on [-1,1]. Find the distribution of X^2, its mean and variance. The Attempt at a Solution Define a transformation of random variable as Y=X^2. Problem is that the transformation function is not monotonic on the range. If it...
  34. O

    Probability: Nested Uniform Distributions

    Homework Statement Problem A: A random variable T is selected from a uniform distribution over (0,1]. Then a second random variable U is selected from a uniform distribution over (0,T]. Determine the probability Pr(U>1/2). Problem B: Suppose 3 identical parts are chosen for inspection. Each...
  35. M

    Uniform Convergence of g_n (x): Proof & Subset Analysis

    1. Let g_n (x)=nx*exp(-nx). Is the convergence uniform on [0, ∞)? On what subsets of [0,∞) is the convergence uniform? 3. I am looking for a proof of how the convergence is uniform (possibly using Weierstrass' M Test?). I understand that the subset that determines uniform convergence is...
  36. D

    Uniform vs pointwise convergence

    I was reading Royden when I came across this cryptic statement:pg 222, "The concept of uniform convergence of a sequence of functions is a metric concept. The concept of pointwise convergence is not a metric concept." Can anyone illuminate this?
  37. M

    Uniform magnetic field problem

    Homework Statement A proton, with mass 1.67*10^-27 kg and charge +1.6*10^-19C, is sent with velocity 5.0*10^4 m/s in the x-direction into a region where there is uniform electric field of magnitude 390 V/m in the y direction. What is the magnitude and direction of the uniform magnetic field in...
  38. M

    Magnitude and direction of uniform magnetic field

    Homework Statement A proton, with mass 1.67*10^-27 kg and charge +1.6*10^-19C, is sent with velocity 5.0*10^4 m/s in the x-direction into a region where there is uniform electric field of magnitude 390 V/m in the y direction. What is the magnitude and direction of the uniform magnetic field in...
  39. H

    Find center of mass of solid uniform density

    Homework Statement Find the center of mass of the solid of uniform density bounded by the graphs of the equations: Wedge: x^2+y^2=a^2. z=cy(c>0), y>=0, z>=0 Homework Equations Mx=int(y*p(x,y) dA) dA=area of integration, dydx/dxdy The Attempt at a Solution I set up all the...
  40. A

    ANSYS clamped membrane with uniform pressure

    Homework Statement I am trying to solve a circular membrane with clamped edges ans uniform pressure applied. I use large deflections. Radius=0,1 m Thickness=0,001 m Pressure=100 Pa E=10e6 poisson=0.3 Elements used=shell181 I attach a picture of the problem. The Attempt at a...
  41. C

    Uniform Continuity Homework: Showing Limits and Restrictions

    Homework Statement 1)Show, if E is a subset of D is a subset of the real numbers R and f maps D into R is uniformly continuous, then the restriction of f to E is also uniformly continuous. 2)Show, if f is continuous and real valued on [a,b) and if the limit of f(x) as x approaches b...
  42. A

    Is a uniform limit of absolutely continuous functions absolutely continuous?

    I was reading a Ph.D. thesis this morning and came across the claim that "a uniform limit of absolutely continuous functions is absolutely continuous." Is this true? What about the sequence of functions that converges to the Cantor function on [0,1]? Each of those functions is absolutely...
  43. J

    Cantilever Beam, Tapered in breadth, uniform thickness, natural frequency

    Hey there I need to find the natural frequency of a Cantilever Beam. The beam is tapered in breadth, but has a uniform thickness. So basically the end goal is an equation for f as a function of the angle of the side cut. Clamped at one end L=constant B=changes though the length of the...
  44. L

    Uniform Electric Fields concept question

    Homework Statement This is a concept question on a study guide I came across and I really didn't know how to answer it or think about it...I havn't seen anything like this question before How could you prepare a spherical chamber that has a uniform electric field everywhere inside?
  45. L

    Electric dipole in a uniform electric field

    Homework Statement An electric dipole placed in a uniform electric field experiences a torque which tends to align the dipole parallel to the field. At the same time, due to two equal and unlike parallel forces Eq and -Eq acting at q and -q, the net force is zero. When the net force is zero...
  46. J

    Moment of Inertia of a solid uniform sphere

    Hello, Calculating the moment of inertia of a solid uniform sphere about it's center I get (3/5) Ma2. I know I am supposed to be getting (2/5) Ma2. I am using a differential volume dm as 4*pi*rho*r*r*dr, where rho is density, and r is the distance from the center to the differential volume...
  47. jegues

    Hanging Wire Uniform Magnetic Field

    [SOLVED]Hanging Wire Uniform Magnetic Field Homework Statement See figure attached. Homework Equations The Attempt at a Solution \vec{F_{b}} = i\vec{L} \times \vec{B} Using my right hand rule, I can see that the force is pushing the wire to the right. This correlates with...
  48. Y

    Find induced E field inside a disk in an uniform magnetic field.

    Homework Statement Uniform time varying magnetic field \vec B_{(t)} pointing at z direction, filling up a circular region on xy-plane. Find the induced E field. I tried two different ways and get two different answers. Please tell me what did I do wrong. Homework Equations Emf...
  49. M

    Uniform electric field paralell plates

    hi, I've just been reading a bit of physics to get myself ready to do a degree after a year of not a lot and was looking at uniform fields so i tried to prove that infinite plates have a uniform field however i seem to have disproved it with coulombs law. here's my logic, please explain the...
  50. B

    Torque equilibrium problem with an angled uniform beam

    http://img715.imageshack.us/img715/2616/physicss.jpg Uploaded with ImageShack.us Homework Statement A uniform slender beam of mass 10kg and length 1.2m is resting on a corner which is knife edged. The vertical wall on the left is smooth. What is the angle for equilibrium? a = .5m...
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