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You have a small globe, which is mounted so that it can spin on the polar axis and can be spun about a horizontal axis (so that the south pole can be on top). Give the globe a quick spin about the polar axis, and then, before it stops, give it a spin about the horizontal axis. Are there any points on the globe that are at rest? (A) There are two points, fixed on the globe, that are at rest. (B) There are two points that are instantaneously at rest, but these two points move around the globe in an apparently random fashion. (C) At some times two points are instantaneously at rest, (D) There are no points at rest until the globe stops spinning.

You have a small globe, which is mounted so that it can spin on the polar axis and can be spun about a horizontal axis (so that the south pole can be on top). Give the globe a quick spin about the polar axis, and then, before it stops, give it a spin about the horizontal axis. Are there any points on the globe that are at rest?
(A) There are two points, fixed on the globe, that are at rest.
(B) There are two points that are instantaneously at rest, but these two points move around the globe in an apparently random fashion.
(C) At some times two points are instantaneously at rest,
(D) There are no points at rest until the globe stops spinning.

Grade:11

1 Answers

Aditi Chauhan
askIITians Faculty 396 Points
8 years ago
The correct option is: (D) There are no points at rest until the globe stops spinning.
When you first spin the globe about the polar axis, there are two fixed points on the globe which are the North Pole and the South Pole. However turning the globe about the horizontal axis will also rotate these two fixed points, that is, every point on the globe will now be in state of rotational motion.
Therefore, there are no points at rest until the glob stop spinning about the horizontal axis or stops completely. Hence, (D) is the correct option and the rest are ruled out.

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