That is vastly more intuitive! Thank you.
Any point in the rope moves a distance equal to the difference in the hypotenuses of triangles x1 and x2. Therefore
## \sqrt\frac {2F(A-B)} {m} = v ##
Where A and B are the hypotenuses of the aforementioned triangles.
My understanding of calculus is pretty shaky; I'm only in my first semester. Would this be the way to set up that integral?
$$ \int F \cos\theta dx $$
$$ \theta = \arctan\frac{2}{x_1 - x_2 - x} $$
Also, I don't really see what you are hinting at with that last bit. I know that the tension force...
Homework Statement
The figure shows a cord attached to a 2 kg cart that starts from rest and can slide along a frictionless horizontal rail. The right end of the cord is pulled over a frictionless pulley at height h = 2.0 m above the point of attachment of the cord to the mass, so the cart...
Hi all,
I'm Jackson. I have no particular talent for physics and a limited understanding of calculus, so AP Physics C is kicking my butt. I'm hoping I will be able to learn on this forum and perhaps even help others along the way once I figure out the treacherous path that is physics.