O Macmillan Learning A half-circle of wire of length L and mass M is placed on a coordinate system such that, if the circle were complete, its center would be at the origin. The wire semicircle begins on the positive y-axis, crosses the negative x-axis at the wire's midpoint, and ends at the symmetrically located position on the negative y-axis, as shown. Derive an expression for the position vector FCM of the wire's center of mass. Enter your expression in terms of given quantities, exact rational and irrational coefficients, and using ij unit-vector notation. FCM Incorrect Question Credit: OpenStax University Physics v1

O Macmillan Learning A half-circle of wire of length L and mass M is placed on a coordinate system such that, if the circle were complete, its center would be at the origin. The wire semicircle begins on the positive y-axis, crosses the negative x-axis at the wire's midpoint, and ends at the symmetrically located position on the negative y-axis, as shown. Derive an expression for the position vector FCM of the wire's center of mass. Enter your expression in terms of given quantities, exact rational and irrational coefficients, and using ij unit-vector notation. FCM Incorrect Question Credit: OpenStax University Physics v1