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.
There have been more than a few threads where there clearly is confusion about the use of time dilation and length contraction.
People initially think that:
1. in an frame which is in motion relative to themselves, time dilates and lengths contract; and
2. velocities in a frame which is...
So does there exist any evidence to support the theory of length contraction? I am aware of the overwhelming evidence to support time and mass dilation, but none for length.
Hi everybody,
I have a question concerning length contraction/time dilation.
I read about how time dilation is calculated using transverse motion and how length contraction is calculated using longtitudinal motion in order to preserve lightspeed and it got me thinking: why not use length...
So I was reading up on the SR equations and the following thought experiment crossed my mind:
Suppose you have someone in a starship traveling at high enough speed to make the Lorentz factor noticeable. Will that produce a blurring effect when the observer is looking out the front window? I...
I read a theory recently which, to my understanding predicted a contraction or expansion in an electric field (like the lorentz contraction) depending on the two charges involved. Has anything like this ever been expiriementally observed
Hi,
I'm trying to understand Lorentzian relativity (Lorentz ether theory, whatever) which is empirically equivalent to the Einsteinian STR. I have, however, a problem in comprehending length contraction.
In the Lorentz theory we have a preferred frame and length contraction is a real...
I apologize, I know this is not a QM question per se but I think I am more likely to find someone who could answer this here.
I'd like to know (or rather, be reminded of) how to draw contraction symbols in LaTeX (or TeX). I mean the symbol we use to show how two fields are "paired up" when...
Homework Statement
Show the derivation for legnth contraction, given that from the example given;
The example shows a moving light clock - two walls which are moving in a direction at speed u and a beam of light from wall A to wall B then back to A and so forth.
From Ao (starting...
Some days ago there was a discussion on pf whether eath’s magnetic field was rotating. That got me to think again about magnetism and relativity and I found this article: http://en.wikibooks.org/wiki/Special_Relativity/Simultaneity,_time_dilation_and_length_contraction
Including this section...
It is known that with the formula that accounts for the time dilation effect in hand we can derive directly the formula that accounts for the length contraction effect:
L0/Dt=L/(Dt)0 (1)
where L0 and (Dt)0 are proper length and proper time intervals, L and Dt...
Homework Statement
A meter stick is moving with 0.8C relative to frame S. What is the sticks length when measured by an observer in S if the stick is 60 degrees to v, as seen in the rest frame?
Homework Equations
Length contraction = proper length /lorentz factor
The Attempt at a...
Question:
What is the percent length contraction of an aircraft traveling at Mach 2?
So, we know that Mach 2= 680.58 m/s
and that L'=L\sqrt{1-(v/c)^2}
If you divide over the L to get:
L'/L=\sqrt{1-(v/c)^2}=% length contraction
Plug-n-chug from here to get...
It's my understanding that gamma (the boost factor) for light is infinite which allows it to have energy (mc^2), however, this is the same factor for legnth contraction & time dilation, I'm not really concerned about time dilation as i thought photons don't experience time?
However, there is...
Homework Statement
This is actually an exam problem, not a homework problem. The solution have been posted, but I don't understand the solution. Here is the question, as posted:
A very long rod travels parallel and very close to a flat surface in our laboratory. The
surface contains...
I was wondering whether or not the Earth would have a larger gravitational force, relative to me, if I passed the Earth at close to the speed of light?
The reason I ask is if I pass the Earth by then it appears to be flatened, but only in the direction of its motion. So, if its length...
Is relativistic effect of length contraction physically "unreal"?
One guru indicate that Length contraction has nothing to do with compression.
It is more correct to view length contraction as a rotation in space time.
If we rotate a box filled with gas or perfect fluid, clearly its density...
Homework Statement
A spear moves past you at a very high speed. As it passes, you measure its length at one half its normal length. From this measurement, what can you conclude about the moving spear's mass?
Homework Equations
The Attempt at a Solution
To have the spear appear...
The average lifetime of a muon is 2.2 microsec. What is the average distance the muon would travel in free space before decaying according to a stationary observer watching the muon travel with a speed of (.60c).
I know how to find the proper time.
2.2/Sqrt[1-(.6c/c)^2] = 2.2/Sqrt[1-.6^2]...
It's a fact that a shaft in a turbine is expanding when the temperature is increasing. A simple equation gives that the expansion can be described as: deltaX=(T1-T0)*alpha*x0, where deltaX is the expansion, T0 is the initial temperature, T1 is the final temperature and alpha is a coefficient...
Homework Statement
A rod of rest length L0 = 10.4 m moves with a speed v = 0.42c along the x axis. The rod makes an angle of q0 = 66.1° with respect to the x' axis (primed frame is moving with the rod). What is the length of the rod as measured by a stationary observer?
Homework Equations...
Hello everybody,
Thank you in advance for your help.
I am trying to model thermal contraction of an elastic solid in Comsol. I am sure this is a simple model, but I am a new Comsol user and it is not obvious to me.
My goal is to model the stresses within an elastic solid, that arise...
Homework Statement
About how many femtometers shorter than its rest length is the length of a car measured in the ground frame if the car is traveling at 30 m/s in that frame? Assume for the sake of argument that the car's rest length is 5.0 m. Remember that 1 fm = 10^-15 m.
Homework...
Hello there, a simple special relativity question, how can the Time Dilation and Length Contraction Formulas be derived from the Lorentz Transformation Equations?
In most special relativity primer book, length contraction section, the length is always defined or measured by the time of a light flashing at one end of a rod, traveling to the other end, reaching a mirror and reflecting back to the first end.
Please read this example if I did not make...
Can someone please clear up the nature of length contraction
Does the spatial dimension parallel to the motion of a moving metre stick contract (as seen by a stationary observer).
Or
Is contraction a purelly matter phenomenon whereby space is constant and the actual material of the...
I'm sure this question has been asked before, but I haven't been able to find a good answer using the search function.
I have a differentiable manifold M and some coordinate chart. I have vector and covector fields on this manifold, but no metric. At some point P, I know I can write the...
Hi, I am having a hard time understanding the Lorentz - Fitzgerald contraction hypothesis (LFCH). I understand that it is a pre-relativity explanation of the null result of Michelson-Morley Experiment. My question is how did Lorentz derive the gamma factor, namely 1/sqrt(1-v^2/c^2), my...
http://home.orange.nl/kuip3148/phys1.JPG
Not exactly homework, but a problem I found in my lecture notes. The train is moving at a constant speed 0.5c. Question b asks what the length of the train will be then at t = -1. From what I understand, this suggests that length contraction depends...
When glycerinated rabbit muscle fiber was placed in 10^-4 M of CaCl2 solution, the percent change in length of the muscle fiber was around 93%.
When glycerinated rabbit muscle fiber was placed in 30 mM ATP in 10^-2 M CaCl2 + 0.05 M KCl + 0.001 M MgCl2 solution, the percent change in length of...
before I start, I should say that I'm a layman and as such will probably say something which sounds quite stupid to the rest of you. I will clarify anything that needs clarifying
Ok, so we have
A - a 2 light year long garage with two doors that can swing open and closed
B - a 4 light year...
Homework Statement
In the stanford linear accelerator, electrons and positrons are fired at each other at 50Gev. In the lab, each electron and positron beam is 1cm long.
(a) how long is each bundle in its frame?
(b) what is the proper length of the accelerator for a bundle to have both its...
We're just learning special relativity in class and my lecturer uses the light clock argument (two moving clocks - one parallel and one perpendicular) to explain length contraction.
I didn't quite get one thing about it. My notes say the light beam reflects at different times (i.e. they have...
I have two problems that I got confused with and I am not sure if I am doing right
Homework Statement
1) The starship ENTERPRISE 1200m long when at rest. How long would it seem to be to someone watching the ship pass by them at 0.75c?
Homework Equations
length contraction
\Delta...
If I am watching spherical mass A that is traveling away from me at close to light speeds it lorenz contracts like I am looking down at a plate.
Does the distance mass A is from me contract also or does it stay the same distance away ?
Why would the Michelson-Morley experiment be the experiment which proves "length contractions" of measuring rods if everything within the experiment lie on the same frame of reference?
According to Relativity, no contraction should exist at all in this case.
If the mathematical...
on a vertical spring (k=100n/m) there is a box with a mass of 5kg, a ball of 1kg is dropped into it from a height of 1m what is the maximum contraction of the spring if the collosion is plastic.
i hope that my terminology is correct as i am not studying this in english and am translating...
We could imagine a rod moving fast enough to compress it within its own Schwarzschild radius. Should it collapse into a black hole? Or is the rod's own reference frame, where it isn't compressed, the one that makes decisions here?
If an observer rotates a four dimensional object, the lengths of the object would change to the observer. If that same observer walks backwards, the lengths of the object will also appear to change from his frame. In fact, if either the observer or the object rotates or moves in any way, it will...
Dear all,
I have a formula at hand but I don't know how to derive it.
:e^{ik\cdot X(x)}::e^{ik'\cdot X(x')}:
= \exp\{-k_\mu k'_\nu\langle X^\mu(x)X^\nu(x')\rangle\}
:\exp\{ik\cdot X(x)+ik'\cdot X(x')\}:
where :: denotes normal ordering, and X^\mu(x) is the field. \langle...
good night,
this is not actually a homework question, this is just plain curiosity.
we've written a basic problem on length contraction and tried to resolve it ourselves. we just want to know if the concept of the problem is right.
Homework Statement
a body of length L=20m travels...
Is relativistic effect of length contraction physically "real"?
Is Lorentz contraction a real contraction? For example, if one tries to accelerate a solid body, does its contraction require an extra input of energy to squeeze the atoms of the body closer together? Will this extra energy go into...
Consider a train traveling at a relativistic velocity, with three observers. One inside the train, and two outside the train traveling at different velocities with respect to it. Say there is a finish line of sorts at a certain point. All observers will agree when the train reaches the line...
A stick of 1m in length travels at v = 1/2 c along its axis away from the observer.
Question 1:
Show that the observer perceives the length of the stick to be shorter without theory of relativity. Calculate the length as perceived by him if he calculates it by the difference in length...
There's one of the paradoxes with SR that I've never actually seen an answer for.
There is a man on a train traveling at a velocity where length contraction starts to matter. Say, .3c. There are some dirty bandits that have rigged up a trap door system in a mountain up ahead on the tracks...
Hi guys,
There's a couple questions that I've been trying to figure out that I have not been able to make much progress on.
1. Time Dilation
the equation states that T' = Lorentz Factor * T0
So the Lorentz factor will always be > 1 because v < c
So then, if, let's say, there's 2...
Here is a simple question.
How can an observer measure length (or length contraction) of a cylindrical Iron rod, when it is moving with a relative velocity v with respect to the observer?
The reason to ask is not to inquire the math about it, but if the rod is moving say in x direction, from...
This is similar to the pole and barn paradox, but different enough that I'm not quite confident in my answer:
A train and tunnel have the same length when at rest relative to each other. The train approaches the tunnel with constant velocity. An engineer on the train places rockets on the...
Hi i have just been given my physics coursework and wondered if anyone had any pointers or tips on how to answer?
The question is on the expansion and contraction of wood with changes in temperature and humidity using a strain gauge.
We have to explain how we would use lab equipment to...