Question

Hi! I have to find the velocity as a function of displacement for some given force functions.

Here is the question:
Find the velocity \(\dot x\) as a function of the displacement \(x\) for a particle of mass \(m\), which starts from rest at \(x=0\), subject to the following force functions:

Answer 1

One moment!

Answer 2

(a) \(F_x=F_0+cx\)
(c) \(F_x=F_0\cos(cx)\)

If I see the general technique, I might be able to get it! Thanks!

Answer 3

You can use this relation