Find the coordinates of centre of mass of a uniform semicircular closed wire frame with respect to the origin which is at its centre. Radius of the circular portion is R

Options

A. `((4R)/(3pi),0)`
B. `((2R)/(pi+2),0)`
C. `((2R)/(pi),0)`
D. `(R/(pi+2),0)`

Answer

2

Explanation

`((2R)/(pi)xxpiR+0)/(piR+2R)=((2R)/(pi+2),0)`