Working on a programming project and hit a math problem that frankly my math is too rusty to solve. I believe this is a calculus problem, though not certain and could be making it more complex than it actually is.
I have a circle rotating at R rad/second. The "front" of the circle is along vector v1, which is of course changing as the circle rotates. I need to align the circle to vector v2, which is constant. I can slow the circles rotation at a max rate of ∆Smax rad/second2, which is probably less than R.
At what angle Ɵ between v1 and v2 should I begin deceleration, and (less importantly) how much time T will I need to decelerate it for? My hangup is that once deceleration starts R is no longer constant, so figuring out the amounted rotated after that point is a challenge.
I have a circle rotating at R rad/second. The "front" of the circle is along vector v1, which is of course changing as the circle rotates. I need to align the circle to vector v2, which is constant. I can slow the circles rotation at a max rate of ∆Smax rad/second2, which is probably less than R.
At what angle Ɵ between v1 and v2 should I begin deceleration, and (less importantly) how much time T will I need to decelerate it for? My hangup is that once deceleration starts R is no longer constant, so figuring out the amounted rotated after that point is a challenge.
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