What is Length Contraction? (Thought Experiment)

What is Length Contraction n STR?
In another interesting prediction of Special Theory of Relativity (STR), we see how the postulate of the constancy of speed of light shows that lengths measured by two different observers between the same two points must be different along the direction of motion. In short, moving objects are shorter. (no pun intended)

RELATIVITY OF SPACE/LENGTH :

In Newtonian or Classical Physics, the measurement of distances between two common points should be same for everyone. However Special Relativity challenges this idea. According to STR length of an object or distance between two points is very much dependent on the relative motion of the observer and the frame of reference.

GEDANKEN EXPERIMENT / THOUGHT EXPERIMENT

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PLAYLIST ON Special Theory of Relativity
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[mandystarr]

This man is the only reason why im passing physics at this point

[manaoharsam]

Love the derivation with a great illustration.

[MrMarkgyuro]

these was the sharpest and the cleanest explanation regarding length contraction! thank you!

[pandit]

I was looking for this explanation. Thank you.

[parthees]

Beautiful & simple explanation bro… I have been searching a lot, nothing was so simple and mathematically proven.

[uzairhussain]

Loved the way you derived the equation with explaining each and every step.

[jrrahulsingh]

This is what I imagined in today's class . Explaining length contradiction using time dilation.

[bibhutibhusansahoo]

Bro it's really help me a lot

Thank u

[abhisheknath]

Thank you sir... Very simple explanation

[pavanajsridhar]

very nice video professor, hats off!!

[zakirhussain-jsku]

Your videos have clarity and simplicity.I like them.
I think we are not comparing like with like.
For Observer inside the train nothing is moving with respect to space except light photon.
For Observer outside the train both the train and photon are moving relative to space. Photon in both cases is moving in space but this is not the case with stationary and moving train. Moving objects produce an illusion of space contraction experienced by Observer outside the train. Distance or length between two points is a conserved quality which cannot be changed.

[dibyendurana]

Respected sir, instead of observing incident path and reflected path, if one observe only incident path, then what will happen ... ?

[yashshah]

I think there could be a simpler proof in which we start with the fact that speed of light is constant for all inertial frames and speed is distance/time so if time is reduced by a gamma factor then the length should also be reduced by the same gamma factor to keep the ratio equal. I'm not sure though if this is a valid proof or not. Please Let me know if it's a valid proof or not

[zakirhussain-jsku]

While motions can be added as vector, how is time added for concurrent motions.

[criticalthinking]

Sir I have a doubt, that the distance get reduced in moving frame for ever
Or it's just observed

[noone-bpiv]

SIR, isnt the the longitudinal distance X*(x not) IN BOTH CASES [5.15 timestamp].
PLS reply sir.I am confused.

[nthieu]

If i only consider half of the experiment, from the event which the light starts to the event which the light hits the opposite mirror, is it tru now? It means that now i have dx0= cdt0 and dx=(c-v)dt, if i use the relation of dt and dt0, i will get a very different version of length contraction. Where was i wrong?

[kingdomofknowledge]

How did you cancel "1 - v2/c2" in the last ?

[merajhossainpromit]

What if the line of velocity is not in the x axis only, I mean it can be in between X & Y too..!! How to solve then!?

[theadvancelearning]

How length is contracted since term in braket shall be always less than 1 as v must be less than c as per postulate of relativity so length for observor in train frame must have greater value vis-a-vis the rest observor. Any explanation