Recent content by rovim

It's been a few days and I still have no idea. Could anyone atleast show me what topics to look into to solve this problem?

So ##\vec v = \alpha (t) \vec v \times \hat k ##?

Hmmm. Differentiating ##|\vec v|^2=\vec v.\vec v## only seems to prove the result ##\dot {\vec v} .\vec v = 0## which gives me the idea that I should completely replace the ##\hat k## component with ##\dot {\vec v}##. But still I haven't been able find the magnitude. I believe I'm lacking some...

Ah yes I understand that now. With some working out I end up with the equation: Δp/Δt = s##\hat v## + ##\frac{1}{2}## srt2##\hat k ## v is the direction of the velocity, s is the speed of the movement and r is the angular acceleration. Now, I have absolutely no idea to integrate this to get an...

Thanks for responding, but I don't really grasp your idea with my limited knowledge of vector calculus. Wouldn't adding a perpendicular component cause the speed to grow unboundedly? To me, it doesn't seem to be a true rotation. I might be completely off track, so if someone could provide me...

In this problem, I need to find the trajectory of a particle (as a function of time) which moves at a speed 's' but also turns at an increasing rate; angular acceleration α. The trajectory looks like a spiral which converges to a point. The particle has an initial position vector p and a...