For a thin uniform lamina lying in the –plane with its centre at the origin

PHYSICS · Single correct · AP · Physics C: Mechanics · Torque and Rotational Dynamics · Torque and Rotational Dynamics

Problem

For a thin uniform lamina lying in the

xy

–plane with its centre at the origin, which of the following correctly relates the moments of inertia

I_x, I_y

(about the

x

- and

y

-axes) and

I_z

(about the

z

-axis)? (a)

I_z = 2 I_x

(b)

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

(c)

I_z = I_x + I_y

(d)

I_z = I_x - I_y