A solid sphere is rotating about an axis passing through its center of mass with angular velocity $omega$ . The sphere itself is in a circular motion about the axis PQ with an angular velocity $omega'$ . Calculate its moment of inertia about PQ?

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Answer 1 · 2018-03-23T16:17:05

See below.

The inertia moment does not depend on movement. In this case apply the parallel axis theorem

$I = I_(com)+m d^2$

with $I_(com) = 2/5 m r^2$ and $d$ the distance between $PQ$ and $P'Q'$

A solid sphere is rotating about an axis passing through its center of mass with angular velocity omegaomega. The sphere itself is in a circular motion about the axis PQ with an angular velocity omega'omega'. Calculate its moment of inertia about PQ?