Co-relating moments of inertia with geometry.
Classical Mechanics
Level
3
An equilateral triangular plate has side length \(a\), and the moment of inertia about the axis shown is \(I\).
A regular hexagonal plate has side length \(2a\), and the moment of inertia about the axis shown can be given as a constant multiple of \(I\): \(k I\).
What is \(k?\)
Note: Assume both plates have negligible thickness.
by
Tapas Mazumdar