Find the Center of Mass of a Thin Plate of Constant

question 143

Multiple Choice

Find the center of mass of a thin plate of constant density covering the given region.
-The region bounded by the $x$ -axis and the semicircle $y = \sqrt { 49 - x ^ { 2 } }$

• A) \(\bar { x } = \frac { 7 } { 3 \pi } , \bar { y } = 0\)
• B) \(\bar { x } = 0 , \bar { y } = \frac { 7 } { 3 \pi }\)
• C) \(\bar { x } = 0 , \bar { y } = \frac { 28 } { 3 \pi }\)
• D) \(\bar { x } = \frac { 28 } { 3 \pi } , \bar { y } = \frac { 28 } { 3 \pi }\)

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