Find the Moment or Center of Mass of the Wire $x ^ { 2 } + y ^ { 2 } = 25$

question 208

Multiple Choice

Find the moment or center of mass of the wire, as indicated.
-Find the center of mass of a wire that lies along the first-quadrant portion of the circle $x ^ { 2 } + y ^ { 2 } = 25$ if the density of the wire is $\delta = 5 \sin \theta$ .

• A) \(\bar { x } = 0 , \bar { y } = \frac { 5 } { 8 } \pi\)
• B) \(\bar { x } = 5 \pi , \bar { y } = 5 \pi\)
• C) \(\bar { x } = \frac { 5 } { 4 } \pi , \bar { y } = \frac { 5 } { 4 } \pi\)
• D) \(\bar { x } = \frac { 5 } { 8 } \pi , \bar { y } = \frac { 5 } { 8 } \pi\)

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