In the OT spirit, and just for fun (and to waste away some time...), 
here's a little challenge that will exercise your mind.

Pretend there is a "Grandfather" clock (standard clock face, no second 
hand). There is a piece of string tied from the end of the hour hand to 
the end of the minute hand. The length of this string is greater than 
the sum of the hour and minute hand  lengths. Suspended from this 
string, on a pulley, is a weight. This weight can move freely along the 
string and will need to as the time changes on the clock face.

Given that:
the length of the String is 's' (not counting the string required to tie 
the actual knots)
the length of the hour hand is 'h'
the length of the minute hand is 'm'
s >= h + m
the co-ordinate system will be an x-y system in the same units as the 
various lengths above, with the origin centered on the center of the 
clock face.
the pulley that the weight hangs from is assumed to have *no* diameter.

what will be the position (x,y) of the *pulley* at time 't' on the clock.

Rolf.

P.S. No prize, but I am scurrying off to remember how to solve this 
one..... ;-)

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