Pull and Twist
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This is another problem I am having difficulty with... I set it up like I've been working the book problems, especially the sphere problems, but can't seem to get the right answer. I feel that I am calculating the radius incorrectly.
I know I am supposed to us $${x}^{2}+{y}^{2}={r}^{2}$$ and $$r=1$$ but for the $$y$$ value do I take the disk's position from the top... $$4-y$$ or should I be looking at the disk top down to calculate the radius as $${x}^{2}+{y}^{2}=1$$ or even $${\left(1-x\right)}^{2}+{\left(1-y\right)}^{2}=1$$ knowing that the disk shrinks at points along the integral.
View attachment 4020
I know I am supposed to us $${x}^{2}+{y}^{2}={r}^{2}$$ and $$r=1$$ but for the $$y$$ value do I take the disk's position from the top... $$4-y$$ or should I be looking at the disk top down to calculate the radius as $${x}^{2}+{y}^{2}=1$$ or even $${\left(1-x\right)}^{2}+{\left(1-y\right)}^{2}=1$$ knowing that the disk shrinks at points along the integral.
View attachment 4020