Find the Moment or Center of Mass of the Wire $x ^ { 2 } + y ^ { 2 } = 16$

question 187

Multiple Choice

Find the moment or center of mass of the wire, as indicated.
-Find the center of mass of a wire of constant density that lies along the first-quadrant portion of the circle $x ^ { 2 } + y ^ { 2 } = 16$

• A) \(\overline { \mathrm { x } } = \frac { 8 } { \pi } , \overline { \mathrm { y } } = \frac { 8 } { \pi }\)
• B) \(\bar { x } = \frac { 4 } { \pi } , \bar { y } = \frac { 4 } { \pi }\)
• C) \(\bar { x } = \frac { 12 } { \pi } , \bar { y } = \frac { 12 } { \pi }\)
• D) \(\bar { x } = 0 , \bar { y } = \frac { 8 } { \pi }\)

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