Given a thin plate with four holes of radius 50 mm, as shown in Fig. 4a. The material has a mass per unit area of 20 kg/m². (a) Determine the mass moment of inertia of the thin plate about an axis perpendicular to the page through its centroid (b) Determine the mass moment of inertia of the thin plate about an axis perpendicular to the page through point O. (Hint: Utilize the mass moment of inertia of a thin plate or circular disk in Fig. 4(b).) Z 400 mm G Thin Circular disk 50 mm 150 mm 1 1 3 Ixx = mr² Izz" mr² Iz'z' mr² VV 4 Z 50 mm 150 mm 400 mm G 150 mm 150 mm 1 x = 1/127 m mb² Iyy Thin plate 11/12 ma² 1₁₂ = 1/12 m (a² + b²) ZZ (a) (b) Fig. 4

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