Properties of matter, film of liquid in ring
I tried a method which was wrong for fairly obvious reasons in hindsight and now I'm confused.

14 Replies
@Gyro Gearloose
Note for OP
+solved @user1 @user2...
to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.
Consider the tension in a differential portion due to the surface tension Td(theta) which would be equal to 2*pi.rd(theta)
And then apply the formula for young's modulus.
what exactly is alpha and why is it 2?
That is a 2 written badly. 😅 Because of the 2 layers of soap solution tension is 2T.l
Oh alright xD
thats what i thought as well intially but thought that i somehow went wrong
mb for being a lil late lmao
but where did this come from?
the Td(theta) = 2pi*r*d(theta)
also in the picture you've written 2sigma*Rd(theta) ?
i think i dont understand the differential portion
So what i'm getting is $dF = \sigma * 2R d(\theta) \newline$
Integrating theta with limits 0 to $2\pi, F = 2 \sigma R * 2 \pi = 2 \sigma l$
Nimboi [ping if answering]

instead of
dF
, you're using F.d(theta)
which i guess is why i'm confusedConsider a small portion with F force acting inclined at an angle d(theta) from the horizontal. The resultant force is 2Fsin(d(theta)/2)=Fd(theta)

ohhh
yeah the force direction
brilliant thank you
+solved @SirLancelotDuLac
Post locked and archived successfully!
Archived by
<@759051317124792351> (759051317124792351)
Time
<t:1746238327:R>
Solved by
<@1075951732460376214> (1075951732460376214)