- #1
darrenhb
- 7
- 0
Homework Statement
Fnet = Ffriction + Fairresistance = μmg + cv2 = ma
Essentially I just need to get this in a v(x) form. Prof said that we need to go about it by doing this:
F = m[itex]\ddot{x}[/itex] = m [itex]\dot{x}[/itex] * d[itex]\dot{x}[/itex]/dx
and then integrating to get v(x)
The Attempt at a Solution
so...
μmg + cv2 = m [itex]\dot{x}[/itex] * d[itex]\dot{x}[/itex]/dx
And this is where I just can't figure it out. I'm terrible with DEs.
I thought of moving the 1/dx to the other side and then integrating both sides, but I get stuck, especially since v2 can be written as [itex]\dot{x}[/itex]2, right? And that messes with my sleep-deprived brain a little, lol. Any nudge in the right direction would be greatly appreciated!