Couple Definition and 445 Threads

In mechanics, a couple is a system of forces with a resultant (a.k.a.net or sum) moment but no resultant force.A better term is force couple or pure moment. Its effect is to create rotation without translation, or more generally without any acceleration of the centre of mass. In rigid body mechanics, force couples are free vectors, meaning their effects on a body are independent of the point of application.
The resultant moment of a couple is called a torque. This is not to be confused with the term torque as it is used in physics, where it is merely a synonym of moment. Instead, torque is a special case of moment. Torque has special properties that moment does not have, in particular the property of being independent of reference point, as described below.

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  1. E

    Are There Any Conjectures About the Primality of n and n!+1?

    I'm not sure if these have been looked into extensively (they probably have, I just have a hard time finding them), but I was just wondering about a couple conjectures I thought up and tested by hand for a bit. Matlab can't run it for very long. Let me know if anyone finds a contradiction or if...
  2. K

    CCD responses increased by a couple of orders of magnitude

    So, last week I was working with a raman microscope, specifically using it in a photoluminescence experiment, and for about 20 minutes I was suddenly getting responses a couple of orders of magnitude higher than I did before or after. What's even stranger is that the guy on the desk across...
  3. T

    How Many Onto Functions and Symmetric Relations Exist in Given Sets?

    For the first question it deals with onto functions I was able to do a-e which deals with actal numbers. Then questions E stumped me. I have no idea what to do or even how to start. It reads: Let C (n,m) be the number of onto functions from a set of m elements to a set of n elements, where m >...
  4. B

    MHB Volume of a Spherical Pool with Varying Depth

    [SOLVED]A couple of sphere problems Hi again, I've been studying for my midterms, and in the review exercises I came across a couple questions that have me stumped... How would you guys approach these problems.Ex1: The larger sphere is radius of 4, with the middle point of a second sphere on...
  5. S

    Probability problem (#of ways to seat a couple) *edit: solved*

    update: *edit: solved! I counted everything twice. Homework Statement How many ways are there to seat 10 people, consisting of 5 couples, in a row of seats (10 seats wide) if all couples are to get adjacent seats? The Attempt at a Solution I'm trying to look calculate it...
  6. C

    Statics: Find resultant force and couple moment

    http://imageshack.us/a/img842/2497/112639506.jpg Calculate the resultant force’s magnitude and the couple moment. Let a = 3.70 m w1=5.35kN/m w2=4.00kN/m The resultant force of the triangle is 1/2(3.70)(5.35)=9.898 kN The resultant force of the rectangle is (4)(3.70) = 14.8kN So...
  7. S

    Couple of questions about sets

    Homework Statement I am confused with sets- just wanted some clarification. Say, I have a set A={b, {1,a},{3}, {{1,3}}, 3} What are the elements of set A? What are the subsets of set A? Are the subsets also the elements of the set A? The Attempt at a Solution I think the elements of the...
  8. E

    A couple questions about energy bands and Fermi energy

    Hello, I'm studying digital integrated circuits and I'm new to solid state physics. I've studied PN junctions, drift and diffusion currents, now I'm trying to see these subjects in terms of energy bands and I'd really appreciate it you could explain to me a couple concepts. When two materials...
  9. G

    Can You Help Prove These Mathematical Identities?

    Basically, I was messing with my calculator, and i thought of this: sqrt(x^sqrt(x^sqrt(x^...)))=sqrt(x)^sqrt(x)^sqrt(x)^... where they go infinitely. I can't prove it, so I need help. another thing is 1/(a)+1/(a^2)+1/(a^3)... = 1/(a-1) Perhaps the proof is something really obvious...
  10. M

    Need verification on a couple of solid mechanics exercises

    Like the tittle says.. I am practicing and wanted to make sufre I did it correctly. Forma this excersice the only doubt es en the las parte ( parte 5)... I am not sufre but i think I need to use .005 rather than .05
  11. danihel

    Couple of quantum fluctuation related questions from a curious layman

    Hi, is it true that: 1. when virtual particles/antiparticles come to existence every billionth particle survives? is it the reason why the universe consists of particles rather than antiparticles? 2. when virtual particles annihilate the energy gets absorbed by the vacuum in contrast...
  12. L

    Electric field in a couple of different cases

    the electric field inside a solid charged conducting sphere is always zero for obvious reasons. the electric field inside a solid uniformy charged nonconducting sphere is nonzero and varies at all points. since it's nonconducting, the electric field at a certain point still won't move...
  13. S

    A couple of Improper Intergrals i have problems with

    INTEGRALS 1.\int^{\frac{\Pi}{2}}_{0} \frac{x}{sin(x^2)} \, dx 2.\int^{\infty}_{-\infty} \frac{1}{t} \, dt 3.\int^{2}_{1} \frac{1}{xln(x)^4} \, dx RESOLVING THE INTEGRALS 1. I firts resolved the definte Integral and then applied the \lim_{b\rightarrow +0}...
  14. A

    Questions About Motorcycle Speed, Short Circuit & Resistance

    1.assume i am riding a motorcycle at 100km/h, but i ride the motorcycle inside a very long train which is moving at also 100km/h. What speed do i have reported to the world? 200km/h? 2.what happens at a short circuit? practically there is no resistance so the value of the current is infinity...
  15. O

    Torque (of a couple) and centre of gravity MCQ

    Homework Statement Homework Equations I know torque of a couple = One of the forces x the distance between the 2 forces. The Attempt at a Solution I don't know how to approach this blasted problem. Any help would be very much appreciated.
  16. C

    A couple simple linear algebra questions.

    I think I know the answer to these questions, but I just want to make sure. 1) If A is invertible then A+A is invertible. True/False True. Because det(A)≠0, det(A+A)=det(2A)=2^n * det(A)≠0 Is this correct. 2) A 3x3 matrix can have 2 distinct eigenvalues. True/False True, although...
  17. J

    Need a couple of ODE's used in aerospace engineering

    Homework Statement I have an assignment where I must solve a coupled system of equations, with di fferential interdependencies (e.g. a system of ODEs) of dimension no less than three (e.g. in x; y and z). choose a system relevance to Aerospace Engineering, or some applied topic. You must use...
  18. M

    When are two equal and opposite forces about an axis not a couple

    Homework Statement A current flows in vertical square coil whose plane is at right angles to a horizontal uniform magnetic field B. The coil can rotate about a vertical axis. Which is correct A) The forces on the two vertical sides are equal and opposite. B) A couple acts on the coil C) No...
  19. I

    Matlab Programming(Need help with the last couple of details)

    Homework Statement Okay, so I need some help with this Matlab program. I never learned Matlab, so I'm trying to do it as best as I can. The question is: Calculate the 2nd and 3rd degree Taylor polynomials for the function f(x)=ln(1+x) about the point a=0 Plot these polynomials and the...
  20. S

    Fixed Ended Beam applied to couple moment

    Homework Statement Hi, i am trying to understand how to find the reactions (Ra & Rb) and moments (Ma & Mb) of the beam shown in the sketch below. Not an exact number but in terms of Mo(couple moment) and L(length). Homework EquationsI have the answers which are Ra = -Rb = 3Mo /2L AND Ma...
  21. P

    A couple of interesting black hole papers

    In another thread (on Oppenheimer-Snyder collapse), I posted a link to some lecture notes on gravitational collapse. Checking on the author, I find he is extremely prolific on many fundamental areas of GR (from the computational standpoint). Of particular interest...
  22. F

    Anyone wanna answer a couple questions?

    Hey everyone. I want to take a Bsc in physics or a Beng. 1. If I take engineering can I do a graduate degree in physics? Or is that dependant on which engineering degree I get eg. Chemical eng vs physics engineering? 2. If I start with a BSc in physics can I switch to a Bachelor’s of...
  23. DiracPool

    The electron - couple questions

    The electron -- couple questions Couple questions on the electron: First, as an accelerating charged body, an electron radiates electromagnetic energy in the form of photons (wiki). But I learned that photons are only emmited when an electron transitions energy states. It would seem to still...
  24. 2

    A couple of questions about Multiverse and Q. Mechanics.

    1) I have read that theory suggests infinite amount of universes and I have also read that the theory suggests a finite amount of universes. Which is the right one? If for every decision new universes are born, the number should be finite, right? 2) In quantum mechanical sense, is it correct...
  25. T

    What Distance d is Required for Net Couple Moment on a Triangle?

    Homework Statement In the figure F1= 27.9KN, F2= 39.8KN, F3= 61.8KN What distance d is required for the net couple moment on the triangle to be 1140 counterclockwise? Express your answer to three significant figures and include the appropriate units. link to image http://imgur.com/cBnLJ...
  26. lep11

    A couple of easy questions related to quantum mechanics

    Hi, I have a couple of easy questions related to quantum mechanics. 1.Does ionization itself cause radiation and why? I know that when electron collides with an atom it can remove electron if it has enough kinetic energy. And when atom becomes excited and then returns to the ground state it...
  27. T

    Force couple supported by line

    Hi, I know how to calculate the reaction to a force couple supported by 2 points. But what if it is supported by a line. See example attached. How do I figure the force distribution along the constant support? Thanks
  28. Q

    What is the difference among moment, torque and couple?

    What is the difference among moment, torque and couple? Moment = Fd Torque = Fd Couple mean two forces have same magnitude but opposite direction. What is the relationship among them?
  29. Z

    Ive had some revelations about maths in the last couple years.

    About three years ago or so, I came to this site complaining that for the life of me, I couldn't pass calculus 1. I just couldn't grasp it. I thought I was bad at math, couldn't do it, and was destined for something far less. Fast forward to now and I am about to graduate with a double major in...
  30. N

    Replace the system of two forces and once couple by a Wrench

    *The title for this question is incorrect. I messed it up with another question. My apologies. Homework Statement Replace the system of two forces and one couple shown in Prob. 2/158 by a wrench. Determine the magnitude of the moment M of the wrench, the magnitude of the force R of the...
  31. M

    A couple of miscellaneous questions about special relativity

    Hi all, I'm in a modern physics course and am surprised by how confused I am about special relativity. I know multilinear algebra quite well, and so I thought it would be pretty easy, but I'm having some conceptual difficulties. Any help would be greatly appreciated! 1. Why is a special...
  32. E

    Calculating Rigidity Modulus Using Torsional Couple Equation

    A Circular bar 1m long and of 8mm diameter is rigidly clamped at one end in a vertical position. A couple of magnitude of 2.5Nm is applied at the other end. As a result, a mirror fixed at this end deflects a spot of light by 15cm on a scale 1m away. Calculate the rigidity modulus of the bar...
  33. N

    Force Couple System and resultant force

    Homework Statement Replace the force-couple system at point O by a single force. Specify the coordinate yA of the point on the y-axis through which the line of action of this resultant force passes. Homework Equations The Attempt at a Solution I'm not sure how to start this...
  34. S

    Finding the couple vector of this ice boat

    Homework Statement The problem and its solution are attached as TheProblemAndSolution.jpg. Homework Equations Vector addition. Cross product. The Attempt at a Solution Given that I am just supposed to take Fig. 1 for what it is based on the way the problem is phrased, my biggest...
  35. 1

    A couple of probability homework questions

    Homework Statement The first one seems too easy and I'm not sure I did it right (it looks like they are nearly asking what they gave in different words.) I'm relatively comfortable about what I did in the second, note that we did not cover probabilities of intersections of sets yet so I...
  36. D

    Programs Can't decide between a couple classes for Fall, EE major dilemma

    With this coming semester I have some interesting options for my schedule. The following 3 classes can be interchanged within my schedule: Data Structures - Studies data abstractions (e.g., stacks, queues, lists, trees) and their representation techniques (e.g., linking, arrays). Introduces...
  37. V

    Hi, new poster and first year EE student, I have a couple of questions.

    This is my second year of college, but my first year of EE (just decided that was the major I wanted.) In addition to a gen ed class (american government) and math classes (calc 1, and stats 1) I have a couple of EE classes, but I have no idea what to expect. I was hoping maybe some of you...
  38. V

    A couple of gravitational problems (kelper's third law)

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  39. I

    Looking to teach the Nuclear Science Merit Badge, had a couple of q's

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  40. D

    A couple of questions about Higgs Boson

    Hi all, I have a couple of noob questions regarding the Higgs Boson (HB) and it's recent "discovery" 1. if the HB is so heavy (I understood it is heavier than a proton) and permeates the universe, why is it so difficult to detect it or produce it ? 2. Why do we have to collide protons...
  41. S

    How does Higgs couple to mass resulting from photons or kinetic E?

    The Higgs is supposed to couple to fermions but not photons. Nevertheless, photons add mass to systems in SR. Also kinetic energy (KE) of fermion motion adds inertia and mass to systems in SR theory. So, how does the Higgs field "tell" that this type of mass from photons and KE IS mass, and give...
  42. F

    A couple questions about gravity

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  43. L

    Couple multiple choice: Confirmation needed

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  44. K

    A story, and a couple of questions

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  45. Whovian

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  46. murshid_islam

    Medical A couple of questions about schizophrenia

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  47. S

    What causes rotation, a couple or a moment? (conceptual)

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  48. S

    A couple of problems for you, help please (About mechanical energy)

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  49. S

    A couple of Number Theory questions

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  50. J

    Schools Curious about a couple of grad schools

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