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B. I, = TôR 3 C. Iz = T&R5 D. I, = 0 since

B. I, = TôR 3 C. Iz = T&R5 D. I, = 0 since

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Let W = {(x, y, z) E R° | 0 < x² + y² < R², –R< z < R}. Find I,. the moment of inertia of W about the z-axis, assuming R and the mass density & to be positive constants. O A. I, = Tô R³ 2 B. I, = TôR 3 C. I, = TÖR5 D. I, = 0 since the region W is symmetric about the z-axis and therefore the moments cancel each other out. E. I, = T&R3 Ο FL-5 πδR
Transcribed Image Text:Let W = {(x, y, z) E R° | 0 < x² + y² < R², –R< z < R}. Find I,. the moment of inertia of W about the z-axis, assuming R and the mass density & to be positive constants. O A. I, = Tô R³ 2 B. I, = TôR 3 C. I, = TÖR5 D. I, = 0 since the region W is symmetric about the z-axis and therefore the moments cancel each other out. E. I, = T&R3 Ο FL-5 πδR
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