Find the Moment of Inertia $I _ { x }$ Of the Lamina That Occupies the Region

question 153

Multiple Choice

Find the moment of inertia $I _ { x }$ of the lamina that occupies the region $D = \{ ( x , y ) \mid 0 \leq x \leq 1,0 \leq y \leq 1 \}$ and has density function $p ( x , y ) = x$ .

• A) \(\frac { 1 } { 24 }\)
• B) \(\frac { 1 } { 18 }\)
• C) \(\frac { 1 } { 12 }\)
• D) \(\frac { 1 } { 9 }\)
• E) \(\frac { 1 } { 6 }\)
• F) \(\frac { 1 } { 4 }\)
• G) \(\frac { 1 } { 3 }\)
• H) \(\frac { 1 } { 2 }\)

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