Chapter 2: 5CQ (page 62)

A thin plate has a round hole whose diameter in its rest is D. The plate is parallel to the ground and moving upward, in the +y direction, relative to the ground. A thin round disk whose diameter in its rest frame is D direction is also parallel to the ground but moving in the +x relative to it. In the frame of the ground, the plate and disk are on course so that the centers of the bole and disk wiIl at some point coincide. The disk is contracted, but the hole in the plate is not, so the disk will pass through the hole. Now consider the frame of the disk. The disk is of diameter D, but the hole is contracted. Can the disk pass through the hole, and if so, how?

Short Answer

Expert verified

The disk pass through the hole, if the plate is tilted.

Step by step solution

Identification of the given data

The given data can be listed below as:

The diameter of the thin plate is D.

Significance of the reference frame

The reference frame mainly consists of an abstract system of coordinates. This reference frame is used for identifying the position of an object mathematically.

Determination of the passing of the disk

In the reference frames, if one disk passes a plate, it can also pass through all the frames mathematically. As the plate moves in both the and the direction, the endpoints of the holes tilt that allows the disk to pass without any kind of collision.

Thus, the disk pass through the hole if the plate is tilted.