Answer
$ y=sint-tcost $
Work Step by Step
PQB=QOB=t
and
PQ=arc(AQ)=t
since PQ=length of unwound string=length of arc(AQ);
thus;
x=OB+BC=OB+DP=cost+tsint
so the parametric equation is; y=PC=QB-QD=sint-tcost
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 13: Vector-Valued Functions and Motion in Space - Section 13.3 Arc Length in Space - Exercises 13.3 - Page 760: 19
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