A solid sphere and solid cylinder of identical radii approach an incline with the same linear velocity (see figure). Both roll without slipping all throughout. The two climb maximum heights hsph and hcyl on the incline. The ratio \(\frac{{{{\rm{h}}_{{\rm{sph}}}}}}{{{{\rm{h}}_{{\rm{cyl}}}}}}\) is given by:

A solid sphere and solid cylinder of identical radii approach an incli

1.	A solid sphere and solid cylinder of identical radii approach an incline with the same linear velocity (see figure). Both roll without slipping all throughout. The two climb maximum heights hsph and hcyl on the incline. The ratio \(\frac{{{{\rm{h}}_{{\rm{sph}}}}}}{{{{\rm{h}}_{{\rm{cyl}}}}}}\) is given by:
A.	1
B.	\(\frac{{14}}{{15}}\)
C.	\(\frac{2}{{\sqrt 5 }}\)
D.	\(\frac{4}{5}\)
Answer» C. \(\frac{2}{{\sqrt 5 }}\)

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