Find the Center of Mass of a Thin Plate of Constant

question 53

Multiple Choice

Find the center of mass of a thin plate of constant density covering the given region.
-The region between the curve $y = \frac { 4 } { \sqrt { x } }$ and the $x$ -axis from $x = 1$ to $x = 16$

• A) \(\bar { x } = 7 , \bar { y } = \frac { 2 } { 3 } \ln 16\)
• B) \(\bar { x } = 168 , \bar { y } = 16 \ln 16\)
• C) \(\bar { x } = \frac { 2 } { 3 } \ln 16 , \bar { y } = 7\)
• D) \(\bar { x } = \frac { 1 } { 7 } , \bar { y } = \frac { 3 } { 2 } \ln 16\)

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