Quote:
Originally Posted by usamamuneeb The image in the attachment shows a ball X roling over 8 central balls without slipping, from position a to position b (a and b are not to be considered as balls). How many complete revolutions will the ball X make, until it reaches position b?  |
Oooh... a puzzle. Me like puzzles...
Well, in the strictest sense, this question is unanswerable because you left one set of variables undefined: What are the friction/cohesion properties of the balls?
OK, useless point. So then, assuming that there is no slip and the balls don't merge one into another as the ball moves from A to B, the correct answer would be
ONE. Without slip, ball
X rotates 600 degrees in it's travel from beginning to end, and from 600 degrees, only
ONE rotation is
completed. The second rotation is only 66.666... % complete. Your original question was:
How many complete revolutions will the ball X make, until it reaches position b?
Oh... Somebody slap me!

<--- (banana of self-indulgent jubilation) he! he! he!
qv