## Monday 10 July 2023

### STOKES THEOREM

Today , we will see how Stokes theorem means that

### "Stirring along boundary lines will cause a whirling inside."

• Further, we will see how integration of F.dl is the force applied along fluid boundary , i.e the force with which you are moving the spoon along the boundary.

• Also what will happen if a bigger spoon or rod or any other bigger stirring object is used. Since Force = mass x acceleration,.... If mass of stirring object (for eg spoon) increases, what do you think will happen to the Force of curl on the other side of the equals to sign ? So bigger the spoon = more the curling Force.

• And dont forget, since Force = mass x acceleration......so, more velocity of spoon = greater curl experienced within.

• Further, we will see why integral of Force along dl is the right way to denote the stokes theorem and why integration of Force along dr is the wrong.
• Also what does  dl and dr mean.
• Also whether Stokes theorem works for fluids only or does it work for solid powders like salt, sugar etc.

• Finally, we will see the Applications of Stokes Theorem.

The above is an excerpt from these eBooks that i have written.

PDF LINK FOR VISUALIZING MATH 2
https://gum.co/visualizingmath2book