For a thin lamina lying in the -plane

PHYSICS · Single correct · A Level · Physics · Engineering physics · Engineering physics

Problem

For a thin lamina lying in the xyxy-plane, IxI_x and IyI_y are the moments of inertia about the xx- and yy-axes through the same point. Which one of the following relations with IzI_z (about the perpendicular zz-axis through that point) is correct? (a) Iz=Ix+Iy2I_z = \dfrac{I_x + I_y}{2} (b) Ix=Iy+IzI_x = I_y + I_z (c) Iz=Ix+IyI_z = I_x + I_y (d) Iz=Ix−IyI_z = I_x - I_y

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