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Main Question or Discussion Point
What I've attempted to do here is to model the motion of a 2D particle with some force F(t) being applied. I was told in my physics class that the force of friction is proportional to velocity squared or Forceoffriction==k*v[tex]^{2}[/tex].
I assumed that the friction force would be pushing the opposite direction as F(t).
I then broke the acceleration, friction, and the applied force into horizontal and vertical components and used newtons second law to equate them leading to the pair of equations below the diagram. These can then be transformed into a pair of differential equations which I'm having a heck of a time trying to solve.
If anyone could tell me whether or not I'm modeling this situation correctly or if I've gone horribly wrong somewhere that'd be great, I would also appreciate any help I could get solving these differential equations in general for Vx(t) and Vy(t) (if they are, in fact, correct).
I assumed that the friction force would be pushing the opposite direction as F(t).
I then broke the acceleration, friction, and the applied force into horizontal and vertical components and used newtons second law to equate them leading to the pair of equations below the diagram. These can then be transformed into a pair of differential equations which I'm having a heck of a time trying to solve.
If anyone could tell me whether or not I'm modeling this situation correctly or if I've gone horribly wrong somewhere that'd be great, I would also appreciate any help I could get solving these differential equations in general for Vx(t) and Vy(t) (if they are, in fact, correct).
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