Axis of Rotation and Moment of Inertia Ranking Task
Two identical uniform solid spheres are attached by a solid uniform thin rod, as shown in the figure. The rod lies on a line connecting the centers of mass of the two spheres. The axes A, B, C, and D are in the plane of the page (which also contains the centers of mass of the spheres and the rod), while axes E and F (represented by black dots) are perpendicular to the page.
A) Rank the moments of inertia of this object about the axes indicated.
Answer ( 1 )
The moments for axes A, B and C increase as the distances from the centre of mass increase.
From highest to lowest, therefore, the order is:
C and F (equal to each other), B, A and E (equal to each other), D