Classical Dynamics of Particles and Systems · Problem 11-17

Coupled Oscillations — Marion & Thornton

Physics — Mechanics · inertia-tensor-thin-plate

Problem

Consider a thin homogeneous plate that lies in the

x_1

x_2

plane. Show that the inertia tensor takes the form

\{\mathbf{I}\} = \begin{pmatrix} A & -C & 0 \\ -C & B & 0 \\ 0 & 0 & A + B \end{pmatrix}