4-4. The
assembly consists of a sphere of 
and
a rod of 
. If 
and 
are independent,
determine the moment of inertia of the assembly about O.
Note:
The moments of inertia for the sphere and thin rod follow respectively:
The
parallel axis theorem may be applied to find the moment of inertia in each
section going through point O.
Solution:
System
m
m
Thus
Therefore, 
~ 
Ans.