Contraction Definition and 708 Threads

Muscle contraction is the activation of tension-generating sites within muscle cells. In physiology, muscle contraction does not necessarily mean muscle shortening because muscle tension can be produced without changes in muscle length, such as when holding a heavy book or a dumbbell at the same position. The termination of muscle contraction is followed by muscle relaxation, which is a return of the muscle fibers to their low tension-generating state.Muscle contractions can be described based on two variables: length and tension. A muscle contraction is described as isometric if the muscle tension changes but the muscle length remains the same. In contrast, a muscle contraction is isotonic if muscle tension remains the same throughout the contraction. If the muscle length shortens, the contraction is concentric; if the muscle length lengthens, the contraction is eccentric. In natural movements that underlie locomotor activity, muscle contractions are multifaceted as they are able to produce changes in length and tension in a time-varying manner. Therefore, neither length nor tension is likely to remain the same in muscles that contract during locomotor activity.
In vertebrates, skeletal muscle contractions are neurogenic as they require synaptic input from motor neurons. A single motor neuron is able to innervate multiple muscle fibers, thereby causing the fibers to contract at the same time. Once innervated, the protein filaments within each skeletal muscle fiber slide past each other to produce a contraction, which is explained by the sliding filament theory. The contraction produced can be described as a twitch, summation, or tetanus, depending on the frequency of action potentials. In skeletal muscles, muscle tension is at its greatest when the muscle is stretched to an intermediate length as described by the length-tension relationship.
Unlike skeletal muscle, the contractions of smooth and cardiac muscles are myogenic (meaning that they are initiated by the smooth or heart muscle cells themselves instead of being stimulated by an outside event such as nerve stimulation), although they can be modulated by stimuli from the autonomic nervous system. The mechanisms of contraction in these muscle tissues are similar to those in skeletal muscle tissues.

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  1. R

    Twin paradox and length contraction

    We know that the twin paradox is not a paradox since one of the twins accelerate and time passes more slowly for him relative to his twin on earth. My question is why can't we apply the same reasoning for length contraction? If one of the twin A measures the lengths of sticks in the reference...
  2. W

    Proving No Length Contraction in Lorentz Transformation

    Homework Statement Hello, Consider a rod of proper length l_{0}. Prove/Show that there is no length contraction if an observer moves perpendicular to the direction of the rod. Homework Equations l = l_{0}/\gamma where \gamma is the usual relativistic vector The Attempt at a...
  3. T

    Length contraction (objects & space or objects only)

    Does length contraction apply only to objects, or to space as well? On the one hand, sources like this seem to imply that it applies only to objects: http://en.wikipedia.org/wiki/Bell%27s_spaceship_paradox On the other hand, most people on this forum seem to believe it applies to space as...
  4. T

    Confused about time dilain length contraction

    hi, we all know when we derive the time dialtion formula we choose a vertical light clock, and basically since the light take a longer zig-zag path to the stationary observer, the time is dilated. That's ok but when deriving length contraction, firstly we accept time dilation for horizontal...
  5. jaketodd

    Length Contraction: Does Size Change Affect Density or Radiated Energy?

    Length contraction is one of the main aspects of relativity. However, I have a question: When something undergoes length contraction, does it become more dense or, is the decrease in length radiated in some way? Thank you, Jake
  6. S

    Action potential and strength of muscle contraction?

    Hello guys, Although the response of a motor unit is all-or-none, the strength of the response of the entire muscle is determined by the number of motor units activated. Nerve impulses passing down a single motor neuron will thus trigger contraction in all the muscle fibers at which the...
  7. C

    Analysis: fixed point, contraction mapping

    Let p,q : \mathbb{C} \to \mathbb{C} be defined by \begin{align*} p(z) =& z^7 + z^3 - 9z - i, \\ q(z) =& \frac{z^7 + z^3 - i}{9} \end{align*} 1. Prove that p has a zero at z_0 if and only if z_0 is a fixed point for q. If z_0 is a fixed point for q then \begin{align*} q(z_0) =...
  8. H

    Gravity and Time Dilation: Length Contraction and Mass Inflation?

    According to SR theory, relative motion leads to -length contraction -mass inflation -time dilation. In GR theory, gravity leads to time dilation. Does it also lead to -length contraction? -mass inflation?
  9. B

    Length contraction, hubble constant, and C

    Question: As an object approaches C and its length contracts, does space-time contract also, causing the a larger range of the universe to become visible? I.e. if the Hubble space telescope was traveling at high velocity, would it gain access to light from more distant galaxies than it has...
  10. W

    Contraction of a rank 4 tensor

    I'm trying to contract a rank 4 tensor with covariant rank 2 and contravariant rank 2 with four different indices [T[ab][cd]] to get a scalar value T and I have no idea how to do it as I'm sure a or b does not equal c or d. Any help would be much appreciated.
  11. H

    Length Contraction spaceship Problem

    Homework Statement A spaceship passes you at a speed of .750c. You measure its length to be 28.2 m. How long would it be when at rest? Homework Equations I think the equation that is relevant is L=L(sub0)xsqrt(1-v^2/c^2) The Attempt at a Solution L=28.2xsqrt(1-(.75^2))=18.65m...
  12. B

    Gravitational Contraction and Entropy

    "Does the spontaneous contraction of a cloud of gas due to gravity violate the second law of thermodynamics? In other words, does entropy decrease as a result of the gravitational contraction?" This question is posed in interesting article here...
  13. Q

    What is the Proper Way to Take Derivatives of Tensors?

    Not sure if this is the right place for this but... I am a bit confused about taking derivatives of tensors. Let's say I have some tensors, R, S and T, and an expression like R^{abc} \nabla_a S_{bcd} T^{d}. Do I contract on the d index inside, to get an expression like R^{abc}...
  14. R

    Contraction map of geometric mean

    I have the following mapping (generalized geometric mean): y(i)=exp\left[{\sum_j p(j|i)\log x(j)}\right]\\ ,\ i,j=1..N where p(j|i) is a normalized conditional probability. my question is - is this a contraction mapping? in other words, does the following equation have a unique...
  15. E

    Twin paradox without length contraction

    Hi all, apologies if this has been posted a million times before... I'm trying to explain the twin paradox without getting involved with length contraction. One way to think of it is Twin A remains at rest on Earth then twin B goes off at 4c/5 to Alpha centauri 4 light years away, then...
  16. Q

    How Does Tensor Contraction Relate to Summation in Minkowski Space?

    Homework Statement Show that the definition [of tensor contraction] A^{ae}{}_{cde} = u^a \nu^e \sigma_c \tau_d \omega_e + w^a x^e \zeta_c \eta_d \xi_e + ... implies A^{im}{}_{klm} \equiv \sum_{m=0}^{n-1} A^{im}{}_{klm} first by looking at tensors of the form u^a \sigma_b...
  17. R

    How Does Length Contraction Affect Measurements in Different Reference Frames?

    Homework Statement A meter stick at rest in S' is tilted at an angle of 30 degrees to the x'axis. If S' moves a speed beta = 0.8 with respect to S. a)How long is the the meter stick as measured in S ? b)What angle does it make with the x-axis? Homework Equations l=l naught/gamma The...
  18. B

    Gravity, Inertia and Contraction

    Inertia has Lorentz-Fitzgerald contraction. Is there a similar (parallel?) contraction equation for Gravitational forces?
  19. N

    Length Contraction Documentary

    I need help with length contraction. I need videos that explains or proves that length contraction is possible even if it is just the visual interpretation of an observer. pls help.
  20. R

    Length contraction and interstellar travel

    Interstellar travel is always a problem in science fiction: you can't have the hero hibernate for millions of years whenever he or she wants to travel to another star, but it's annoying when spaceships just magically move faster than light. However, wouldn't length contraction from special...
  21. Nabeshin

    What is the explanation for Death by Lorentz Contraction?

    I have recently been reminded of a problem a friend posed to me many months ago in special relativity that I was never able to address: Suppose we have a person inside a moving spaceship of proper length L. According to an observer outside the ship, the person inside the ship is at rest...
  22. E

    Lorentz Contraction Circular Motion

    Does Acceleration affect Lorentz contraction? Suppose their was a Circle spinning around its center then its outer edges would decrease in length. looking somewhat similar to a saw blade or something. This doesn't make sense though because then then object would change shape depending...
  23. R

    Lorentz Contraction: What really Contracts?

    OK I've been reading up on Lorentz contractions in special relativity and i have been wondering about something for a while now. When a Lorentz contraction occurs what actually contracts? the space between the atoms? (because we are 99% space) the actual atoms themselves? or the distance between...
  24. H

    Real Lorentz–FitzGerald contraction

    In this thread https://www.physicsforums.com/showthread.php?t=361915" I showed my viewpoint on a real length contraction https://www.physicsforums.com/showpost.php?p=2486767&postcount=21": and I've see no criticism on my view, neither acceptance nor denial, that a real length contraction must...
  25. T

    Lorentz contraction of a light pulse

    Suppose the earth, moon, and an extraterrestial observer(ET) are at the corner of an equilateral triangle. The Earth observer points a laser at the moon and emits a powerful laser pulse for exactly .01 seconds. The 1,860 mile long pulse travels to the moon in about 1.3 seconds. The ET knows that...
  26. U

    Lorentz Contraction: Explaining the Mystery

    I don't understand why this happens. And it's not enough to tell me 'well it happens because Simultaneity is relative' or 'Because Time dilates between frames'. I can still say I don't understand why it happens because shouldn't 2 frames adjust their measurements so that they get the same...
  27. M

    Does Relativistic Length Contraction Induce Stress in Physical Bodies?

    The following is from Accelerating spaceships paradox and physical meaning of length contraction by Vesselin Petkov. Quite a well known paper I think. Speaking of Bell's Spaceship Paradox he says ----This paradox still appears to be regarded by some physicists as proof that (i) only...
  28. M

    Lorentz Contraction: Exploring Standard Relativity & Bell's Paradox

    I think I am correct in saying that Lorentz relativity and standard SR are experimentally indistinguishable. I think it is also the case that in the first, the space between objects does not contract while in the second evrything inclding space contracts pro rata. As a personal choice I prefer...
  29. N

    Reciprocal Lorentz Contraction Mismatch

    Consider two groups of 3 spaceships each. The groups are numbered 1 and 2. The ships in group 1 are numbered 1A, 1B and 1C. The ships in group 2 are numbered 2A, 2B and 2C. In each group, ship A leads, followed directly in line, at fixed and equal proper intervals (as measured in each line's...
  30. W

    How Does Length Contraction Affect Measurements in Special Relativity?

    Homework Statement A spaceship travels past a planet at a speed of 0.80 c as measured from the planets frame of reference. An observer on the planet measures the length of a moving spaceship to be 40m. a)How long is the spaceship, according to the astronaut? b) At what speed would the...
  31. A

    Particle bunching +Lorentz contraction

    Hi Does anyone have any information or web links for layman followable explanations of how Lorentz contraction is connected with the accelerator bunching problem. I have found many references to the phenomena but no explication of the actual connection. A related question is: I have heard...
  32. D

    Special Relativity - Length Contraction Problem

    Homework Statement The radius of our galaxy is 3x10^20m (30000 lightyears). (part a): Can a person in principle travel from the center to the edge of the galaxy in a normal lifetime? Explain using Time-Dilation, then Length-Contraction. Homework Equations d\tau = dt \sqrt{1...
  33. T

    Length contraction falling down a hole.

    Ok, so imagine observer A is moving along with a measuring rod of length L that is being slid along the ground by a rod that holds it steady by pushing it against the ground as it slides (no tilting whatsoever, the base of the rod remains firm against the ground), at a velocity comparable to c...
  34. M

    Length contraction in a current carrying wire?

    Reading http://www.edu-observatory.org/physics-faq/Relativity/SR/experiments.html#Length_Contraction I reminded something that always bothered me about this explanation: I would think that a current carrying wire would only appear electrically neutral when the observer is moving along the wire...
  35. N

    No SR time dilation without Lorentz contraction

    My understanding is that SR time dilation and Lorentz contraction are flip sides of the same coin. The two always occur together, never separately. That is implicit in spacetime diagrams. I think this duality requirement is necessary so that light always travels at the speed of c in every...
  36. E

    Is there any derivation of length contraction through proper lenght?

    I'm doing some sort of notes on special relativity and i got this question, because proper time and time dilation have a relation. In fact we have that proper time is mathematically the arc length of a timelike curve. I will use geometrical units and the Minkowski Metric with the -+++ signature...
  37. maverick280857

    Length Contraction Question from Rindler

    Hi, this isn't exactly homework, as I'm teaching myself, but I thought this forum would be more appropriate for it. Homework Statement (Page 36, Introduction to Special Relativity by Wolfgang Rindler) An 18-foot pole, while remaining parallel to the x-axis, moves with velocity (v,-w,0)...
  38. Rasalhague

    Length contraction: a question about tramwheels

    This isn’t an example from a textbook, just something that occurred to me, so there may be any number of mistaken assumptions in it. I must have gone wrong somewhere, but I don't know where, and I'd appreciate any advice. Imagine one of those Swiss high speed trams that wreaked so much havoc...
  39. A

    Why Does Length Contraction Happen?

    Ok, I do understand what it is, that things get shorter the faster you go.. But I just want to know why they do?? If anyone could explain to me... Someone told me it was just an illusion because our eyes couldn't keep up but I think that person was wrong, so thank you to anyone that can help :)
  40. mnb96

    Contraction distributive property in GA

    Hello, according to my book of 'Geometric Algebra' the operation of Left-Contraction for Blades has a distributive property in respect to addition. However the authors do not prove it, nor they give the smallest hint on how to derive it. The property says that...
  41. P

    The Correct Time on the Clock During the Presentation Ceremony?

    Homework Statement 1)An ex-student with a new spacecraft 'buzzes' the school oval on sports day at 1.5 * 10^8 m/s. How long does the 100m track appear to him. 2) The sports day began at 9am. The student buzzed the school at an average speed of 0.5c till the presentation ceremony at...
  42. S

    Help with length contraction and relativistic momentum please

    Homework Statement A woman is 2.0 m tall and has a mass of 60 kg. She moves past an observer with the direction of the motion parallel to her height. The observer measures her relativistic momentum to have a magnitude of 2.30x1010 kg·m/s. What does the observer measure for her height?Homework...
  43. C

    Length Contraction and a Relativistic Angle

    Homework Statement A ladder 4.92 m long leans against a wall inside a spaceship. From the point of view of a person on the ship, the base of the ladder is 3.13 m from the wall, and the top of the ladder is 4.00 m above the floor. The spaceship moves past the Earth with a speed of 0.919c in a...
  44. K

    How Long Does an Interstellar Cloud Take to Contract?

    Problem:"An interstellar cloud with a radius of 10parsecs and a mass of 10000 Msun is contracting. How long does this take? (The cloud itself has no pressure)
  45. D

    Max Contraction of Two Moving Bodies with Spring Attachment

    Homework Statement 2 bodies move towars each other M1 WITH Velocity V1 and M2 with velocity V2 ,on a frictionless surface with a spring between them(attached to M1),what will be the maximum contraction(I mean You know, shrink or W\E)? Homework Equations reduced mass...
  46. F

    Special Relativity: Why is Length Contraction Inverse of Time Dilation?

    Homework Statement Hello I actually just need help with an explanation rather than equations (I hope this is OK). In my essay I need to explain why the length contraction in Special Relativity is the inverse of the time dilation factor. My explanation is below, but I'm not convinced...
  47. B

    Clarification on length contraction

    I ask this just to clarify something, because something I read threw me off earlier. An object travels near the speed of light, and you are stationary. You measure the object somehow, and find it's length from your reference frame. Would it's length be shorter or longer than the proper...
  48. F

    Is F(x)=\sqrt{1+x^2} a Contraction Mapping on R?

    If I take F(x)=\sqrt{1+x^2}, then the derivative is always less than one so this is a contraction mapping from R to R, right? But there is no fixed point where F(x)=x, where the contraction mapping theorem says there should be. So where have I gone wrong? Cheers
  49. F

    Length Contraction: Light & Spaceships

    I understand the explanation for time dilation involving the light clock on the spaceship, or a train. But what is used to explain length contraction. Is there another example that is used involving a light beam and a spaceship.
  50. L

    Why does length contraction occur in Lorentz transformations?

    Hi, This isn't actually a coursework question but rather a part of my course which I'm struggling to get my head round. I can use formula to calculate the amount that an object contracts but I can't seem to get my head around why this happens. I've been trying to imagine a rod traveling past...
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