Solve the Problem $y$ -Axis of the Thin Semicircular Region of Constant Density

question 422

Multiple Choice

Solve the problem.
-Find the moment of inertia about the $y$ -axis of the thin semicircular region of constant density $\delta = 3$ bounded by the $x$ -axis and the curve $y = \sqrt { 49 - x ^ { 2 } }$ .

• A) \(2401 \pi\)
• B) \(\frac { 7203 } { 8 } \pi\)
• C) \(\frac { 7203 } { 4 } \pi\)
• D) \(\frac { 2401 } { 2 } \pi\)

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