A thin square lamina of side and mass is placed on a smooth horizontal surface
PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics
Problem
A thin square lamina of side 0.40m and mass 3.0kg is placed on a smooth horizontal surface. The moment of inertia of this lamina about an axis through its centre and perpendicular to its plane is given to be 61Ma2. Answer the following:
(i) Show, without performing any fresh integration, that the moment of inertia of the lamina about one of its sides is 31Ma2.
(ii) Calculate the numerical value of the moment of inertia about the side, using the data provided.