An easy question

[Desert Sleet]

<blockquote id="quote"><font size="1" face="Verdana, Tahoma, Arial" id="quote">quote<hr height="1" noshade id="quote"><i>Originally posted by Shahid_fss</i>
<br />maybe I am in the cage....

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<hr height="1" noshade id="quote"></font id="quote"></blockquote id="quote">
Spot right. You are in a Zoo and lion is in cage. [D]

<b>Lets Continue</b>... lets have a difficult one

Suppose we have two balls of the same radius. I'll call them the "rolling ball" and the "fixed ball".

The fixed ball is not allowed to move.

The rolling ball must touch the fixed ball - and it's allowed to roll without slipping or twisting on the surface of the fixed ball.

Now

1) Start with the rolling ball touching the north pole of the fixed ball.

2) Roll it down to the equator along a line of longitude.

3) Then roll it along the equator for an arbitrary distance.

4) Then roll it back up to the north pole along a line of longitude.

The question is when we carry out this process, can the rolling ball come back *rotated* relative to its original orientation ... or not?





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