It does? It seems to work just fine for me, when n=1
dA=(l/2)(1+(-1) ^⌊n⌋(2(n-⌊n⌋)-1)=(l/2)(1-(2(1-1)-1))=(l/2)(1-(-1))=(l/2)(2)=l
If n=2
dA=(l/2)(1+(-1) ^⌊n⌋(2(n-⌊n⌋)-1)=(l/2)(1+(-1) ^2(2(2-2)-1)=(l/2)(1+(-1))=0
You`re right. I forgot to check that part, that means my proof of the particular case on page 6 is wrong. I`ll check it and try working out a general formula that works. I greatly appreciate your time.
Maybe it is trivial, but I`m not looking for a trivial solution, but the general solution. That equation does not immediately give you the distance asked for, therefore it is a solution yet it isn`t the complete solution. The formula I present on the document immediately gives the distance asked...
That equation does not work for odd numbers. The problem asks the distance it stops relative to the point B. For example if d=7,25l the block will end up at 0.75l away from B, if we plug in those values in the equation you`ve given:
d-2l⌊d/2l⌋=7.25l-2l⌊7.25l/2l⌋=7.25l-2l⌊3.625⌋=7.25l-6l=1.25l
Homework Statement
explained on document attached
Homework Equations
Energy on a spring and work done by friction
The Attempt at a Solution
Included on document
https://docs.google.com/document/d/1FNrmIkkWzyZJNsbGbq_DYMyMZbpyMcAYKYk9iTbdR-4/edit?usp=sharing
Homework Statement
So there is a falling object, you have to take into account the boyant force, the pull of gravity and the drag force
A time dependent distance equation is what we're looking for
Homework Equations
Fd=CdApav2/2
Where
Fd is the drag force
Cd is the drag coefficient
A is the...