While browsing through unanswered posts in the Classical Physics Workshop, I came across a gem at the link shown below. For the reader’s convenience, I have included (in italics) the OP’s statement of the question.
There is a circular gate rotating at a constant angular speed of ##\omega##. The circular gate has a tunnel across its diameter. The mission is to pass through the gate. (That is, come in one side of the gate, travel the whole diameter, and exit at the other side.)
Also, craft is neutrally buoyant, the craft has four thrusters (in the i, -i, j, and – j directions), and sudden movements cause ‘slosh’ in the fuel tank that destroys the craft.
I gave a brief response at the time to remove the post from the unanswered group, but the physics...