Find coordinates of mass center of a uniform semicircular plate of radius r placed symmetric to the y-axis of a Cartesian coordinate system, with centre at origin.

Explanation

The `y-`axis is the line of symmetry, therefore mass center of the ring lies on it making x-cordinate zero. Distance OC of mass center from center is given by the result obtained in example 4. Making use of this result, we have
`OC = (r sin theta)/(theta)rarr y_(c ) = (r sin (pi //2))/(pi//2) = (2pi)/(pi)`