Physics

Problem

For a thin lamina lying in the

xy

-plane,

I_x

and

I_y

are the moments of inertia about the

x

- and

y

-axes through the same point. Which one of the following relations with

I_z

(about the perpendicular

z

-axis through that point) is correct? a)

I_z = \dfrac{I_x + I_y}{2}

I_x = I_y + I_z

I_z = I_x + I_y

I_z = I_x - I_y