Recent content by En Joy

THANK YOU VERY MUCH @Ray Vickson

I want to know the value of θm

Yes, I have read the link. It illustrates nothing but the derivation of Snell's law using calculus. I actually want to know something like this. Suppose you are in position A(in mud) and your friend is at B(in pavement) as in picture. Now how can you find the path of least time to reach your...

I know calculus and the derivation of Shell's law because I have completed graduation (Physics honours) and I am a primary school teacher also. The problem came to my mind suddenly while studying calculus of variation, so this is not a school homework. Trust me. Yes, calculus will need here to...

But how?

How to find the quickest path?

Thanks to all of you (specially @A.T.). Actually I skipped some portions in Classical Mechanics due to (my personal) exam. strategy in completing my Graduation as I am not a good student. That’s why I could not solve this problem. But now, I have found this (The Brachistochrone) in my textbook...

Sorry, I did the mistake. It should not be in "B" level. But I've corrected that.

Can anyone explain this "mathematically"? i.e. how to calculate the time in each cases?

Thank you

Sorry guys, in the first expression this should be ν in the sub script instead of λ.

No they are in same page of a book !