Through the hole? Relativity. A stick of proper length L moves at speed v in the

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Through the hole? Relativity.
A stick of proper length L moves at speed v in the direction of its length. It passes over an infinitesimally thin sheet that has a hole of diameter L cut in it. As the stick passes over the hole, the sheet is raised so that the stick passes through the hole and ends up underneath the sheet.
Well, maybe In the lab frame, the stick's length is contracted to L/y(gamma), so it appears to easily make it through the hole. But in the stick frame, the hole is contracted to L/y, so it appears that the stick does not make it through the hole (or rather, the hole doesn't make it around the stick, since the hole is what is moving in the stick frame).
So the question is: Does the stick end up on the other side of the sheet or not?
If in the ground frame, the stick and the sheet velocities are vx and uy, find the angle between the sheet and the stick in the stick's frame. Through the hole? Relativity.
A stick of proper length L moves at speed v in the direction of its length. It passes over an infinitesimally thin sheet that has a hole of diameter L cut in it. As the stick passes over the hole, the sheet is raised so that the stick passes through the hole and ends up underneath the sheet.
Well, maybe In the lab frame, the stick's length is contracted to L/y(gamma), so it appears to easily make it through the hole. But in the stick frame, the hole is contracted to L/y, so it appears that the stick does not make it through the hole (or rather, the hole doesn't make it around the stick, since the hole is what is moving in the stick frame).
So the question is: Does the stick end up on the other side of the sheet or not?
If in the ground frame, the stick and the sheet velocities are vx and uy, find the angle between the sheet and the stick in the stick's frame.
A stick of proper length L moves at speed v in the direction of its length. It passes over an infinitesimally thin sheet that has a hole of diameter L cut in it. As the stick passes over the hole, the sheet is raised so that the stick passes through the hole and ends up underneath the sheet.
Well, maybe In the lab frame, the stick's length is contracted to L/y(gamma), so it appears to easily make it through the hole. But in the stick frame, the hole is contracted to L/y, so it appears that the stick does not make it through the hole (or rather, the hole doesn't make it around the stick, since the hole is what is moving in the stick frame).
So the question is: Does the stick end up on the other side of the sheet or not? A stick of proper length L moves at speed v in the direction of its length. It passes over an infinitesimally thin sheet that has a hole of diameter L cut in it. As the stick passes over the hole, the sheet is raised so that the stick passes through the hole and ends up underneath the sheet.
Well, maybe In the lab frame, the stick's length is contracted to L/y(gamma), so it appears to easily make it through the hole. But in the stick frame, the hole is contracted to L/y, so it appears that the stick does not make it through the hole (or rather, the hole doesn't make it around the stick, since the hole is what is moving in the stick frame).
So the question is: Does the stick end up on the other side of the sheet or not?
If in the ground frame, the stick and the sheet velocities are vx and uy, find the angle between the sheet and the stick in the stick's frame.

Explanation / Answer

The observations done from both the frames are correct. According to the relativity of simultaneity, the observers can disagree regarding whether or not the simlutaneity of two events in thier respective frames. Though the length of the hole is contracted from the stick's frame, the front end of the stick will meet the hole at one time and the rear end of the stick makes it at a different time. Therefore, the stick will end up on the other end of the sheet.

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