5:57 what he said is very important. converting the differential to delta is not straight forward and a mathematician would never do that. it needs more than a comment to elaborate, but briefly, delta is discrete change, while partial differential is continuous (not always). A purely theoretical mathematician, never convert partial derivative to delta, because the continuous and discrete are two opposite things. Applied mathematicians and physicist, they do it to approximate the results numerically, if and only if the delta is too small or the error is too small.
a brilliant master, sir we all look up to you
I was disappointed when the entire class didn't break out into applause in the end
Drawing dotted lines like a boss...
yea its worthy. It helped me to understand schodinger eq. which actually derived from simple wave eq. in a string.
How many other people only remembered his dotted line drawing skills from this video?
Hold the chalk so that the tip leads your hand as you write and push the chalk instead of dragging it as you normally would
I had forgotten this simple derivation from solid mechanics, but when (mu/T) d^2y/d^2 = d^2y/dx^2 emerged from the analysis at 7:15 the lights came back on!
I had a 10:48 minute long mindgasm. Thank You @ MIT OCW
It’s so weird to finally start understanding these kinda physics lectures (I’ve understood 20% so far by the way)
I like this simple videos that keep it under 10 minutes.
Prof will I be wrong if i say that Fy will be reduced to equals to T (delta θ) (cos θ) at 2:43 since sin (θ + delta θ) is the same as sin(α + β) ≈ sin(α) + βcos(α), where delta θ is β, hence, Fy = -Tsin θ + Tsin θ + T delta θ cos θ = T delta θ cos θ or you took limit of θ approaches zero to give Fy = T delta θ
I am glad I watched and understood this :-)
I went to a public college. I only needed to watch this video 4 times before got it.
best channel name
Time 3:20, "What is dm? We know the length is Δx." I don't see how the length is Δx. Maybe (Δy^2 + Δx^2)^(1/2)? Any thoughts on how we can know Δx is the length?
why the tension is the same on both sides?
A mathematician will never do that but a physicist have no problem in doing so.Why sir?
Why do you get a C^2 out when you take the second derivative with respect to time?
@Internume