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

question 155

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 $\delta = \cos \theta$ .

• A) \(\bar { x } = \frac { 5 } { 2 } , \bar { y } = \frac { 5 } { 2 }\)
• B) \(\bar { x } = \frac { 10 } { \pi } , \bar { y } = \frac { 10 } { \pi }\)
• C) \(\bar { x } = \frac { 5 } { 4 } , \bar { y } = \frac { 5 } { 4 }\)
• D) \(\bar { x } = \frac { 5 } { 3 } , \bar { y } = \frac { 5 } { 3 }\)