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Re: rolling

I just discovered that the latest edition of Halliday, Resnick, and Walker has the correct answers (i.e. .5 L and L) in the back of the book!


In a message dated 2/4/2004 8:11:12 AM Eastern Standard Time, FIZIX29@AOL.COM writes:

I need some help with the following question from Halliday et al (6th=
ch. 12 question 5:

"A woman rolls a cylindrical drum, by means of a board on top, throug=
h the
distance L/2, which is half the board's length. The drum rolls smoot=
hly, and
the board does not slide over the drum.
a) What length of board has rolled over the top of the drum?
b) How far has the woman walked?"

The answers in the book are L and 1.5 L. I am not sure I understand =
what is
meant by "what length of board has rolled over the top of the drum." =
It seems
to me that it should be L/2. If the questions means how
far has the =
moved with respect to the ground then I agree it is L.

Answers in algebraic form (plus verbal explanations) are
preferable t=
strictly verbal arguments.


Justin Parke
Oakland Mills High School
Columbia, MD