Length Contraction (Special Theory of Relativity)

What is Length Contraction? How to obtain its formula from Lorentz transformations?
In this video I talk about one of the most surprising consequences of the two postulates of Special Theory of Relativity, i.e. Length Contraction, also known as Lorentz Contraction. When two observers are in relative motion, they measure the distance between two points to be different. As a result, moving objects appear to contract along the direction of motion, with respect to an observer at rest. This can be easily demonstrated via the lorentz transformation equations.

We will also compare the extent of Length contraction at various speeds, and I will also mention one experimental observation that is directly related to the concept of length contraction.

00:00 Introduction
02:04 What is Length Contraction?
04:51 Derivation using LT
13:43 Conclusions

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PLAYLIST ON Special Theory of Relativity
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[Ainz]

You sir, are the best at explaining physics. Much love from Sweden.

[HypotheticalX]

Man I learnt so much about relativity from you than any other youtuber! Thank you 🙏

[PoojaSharma-jeen]

This is one of the best videos I have ever come across. The clarity and ease with which you explain these complicated topics is simply mind blowing.
You should tell about the laplace transformation

Laplace

[murshid]

The way you explain and the way you enjoying physics teaching is unique... We need more and more such marvelous explanations for the true love of physics... Thank you sir for your efforts keep going... Best wishes may God bless you❤️❤️❤️
Your English explanations are crystal clear and simple it's really a blessing for south Indians like me.... Hats off to you sir

[Danny_Second]

Thank you so much. Your lecture helps me so much to comprehend this phenomenon.

[ThomasLahn]

Well explained. I noticed only a few mistakes and one confusing formulation:

• At 0:34, you should not speak of “high velocity”, but high _speed_. (It does not make sense to speak of a vector as being “high”/“large”.)

• At 2:10: Spacetime does NOT “[stretch] and [distort]” here (and it is/has not a “fabric”). Instead, the constancy of the speed of light (in vacuum) leads to the model of spacetime (the Minkowski metric and other, curved spacetime metrics) in the first place.

• From 16:42, the label of the vertical axis of the diagram (“L₀/L”) is wrong. As L₀ is the proper length, which does not change, and the shown value *decreases* as the speed (given in units of c) *increases*, the vertical axis, where the values increase upwards, should be labeled “L/L₀”.

Finally, at 11:20, the statement along the lines “If I am at rest relative to the rod, I can measure its length by measuring the coordinates [of its end points] at different times. No problem.” was confusing at first. We may only do that if we assume that the proper length of the rod does not change in-between (which it certainly could, e.g. by thermal expansion). So (it is better to say that) in *all* situations a length is defined by the difference of the coordinates of the end points at the same time, and that it is the relativity of simultaneity that leads to "length contraction" instead. (This can be easily demonstrated in a Minkowski diagram.)

[kentykatele]

Been watching you video for a long time. Perfect explanation always

[harry-hoti]

Hats of sir for your pure physics concept lectures.

[txemaglez]

Congratulations. This video opens my mind. Great Job. Una obra de arte.

[ritwikrajjha]

thank u sir ....physics in college is getting interesting for me now

[nuralamsheikh]

Sir you are one of the best physics teacher for me 💓🙏
No on can equal to you sir 🔥
Sir please .... make more videos to another topic. 😊

[nafihoque]

O my goodness! how good these videos are! respect for u sir.

[victoriarisko]

🎉 sensational. Explained so well ( or as Dirac would say “ very satisfactory “.

[deeptidubey]

You are awesome sir, thank you for uploading such good lectures. 😊

[Educationist-wdru]

Hi Sir, U are Hero to us, Plz Let us know more about you, U r amazing, stay blessed

[mohammedmareai]

This is more than awesome. Thank you so much sir

[alert]

Your title is realy tell us u all do for the love of physics.

[sidharthdash]

Length contraction and time dilation both are 2 v imp topic for us...so wr should know about this and you made it easy and simplefor us

[abcdef]

at 11:28 the best explanation why the observer has to measure the moving things simultaneously, not measuring today then measuring the leftover a month later, or the rod will be too long.

[groundsnuts]

Saved! this at any cost worth watching 🖐️