Answer:
The
sphere will roll without slipping with constant velocity when \[\omega
=\frac{\upsilon }{R}\]
Now, angular
momentum of sphere about c.m, Fig. 5(HT).12, is
\[m\upsilon
\left( h-R \right)=I\omega =\left( \frac{2}{5}m{{R}^{2}} \right)\left(
\frac{\upsilon }{R} \right)\]
\[m\upsilon
\left( h-R \right)=\frac{2}{5}m\upsilon R\]
\[h-R=\frac{2}{5}R\]
\[h=\frac{2}{5}R+R=\frac{7}{5}R\]
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