Here you just have plain old projectile motion. At the end of the swing, we just need the final velocity vector and the height above the ground (oh, and how far horizontally it has already moved). This is the tough part of the motion since it falls under "constrained motion." Nonetheless, it can be modeled. For part I, it will consist of Tarzan swinging on the rope. In order to numerically model this problem, we have to first break it into two parts. Why? Why not.įrom a numerical calculation, the interesting part is all the starting parameters - like length of the rope, starting rope angle and height of the rope above the ground. Here I am going to show you how to solve this problem numerically. Yes, this Tarzan swinging problem is cool. However, the later he lets go he will also have a lower launch speed. What makes this tricky is that the later he lets go of the rope, the better the launch angle. In the problem, we want to find the best angle (θ) for Tarzan to let go of the rope in order to get the maximum range.
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