I want to ask why does the moment of inertia equal to 2/3 mR^2, and how should I answer this problem? Thank you so much ! 65. A A thin, spherical shell of mass m and radius R rolls down aparabolic path PQR from height H without slipping (assumeR<

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Answered: 65. A A thin, spherical shell of mass m…

65. A A thin, spherical shell of mass m and radius R rolls down a parabolic path PQR from height H without slipping (assume R

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter10: Fixed-axis Rotation

Section: Chapter Questions

Problem 38P: During a 6.0-s time interval, a fly-wheel with a constant angular acceleration turns through 500...

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I want to ask why does the moment of inertia equal to 2/3 mR^2, and how should I answer this problem? Thank you so much !

65. A A thin, spherical shell of mass m and radius R rolls down a
parabolic path PQR from height H without slipping (assume
R<<H) as shown in Figure P13.65. Path PQ is rough (and so
the shell will roll on that path), whereas path QR is smooth, or
frictionless (so the shell will only slide, not roll, in this region).
Determine the height h above point Q reached by the shell on
path QR.
H
P
R
FIGURE P13.65
R

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