Question

The position of the centre of mass of a uniform semicircular wire of radius $R$ placed in $x-y$ plane with its centre at the origin and the line joining its ends as x-axis is given by$(0,\frac{xR}{\pi }).$ Then, the value of $|x|$ is . (Integer only)

Answer 1

COM of semi-circular ring is at $\frac{2R}{\pi }$.

Given, COM of semi-circular ring along $y-\text{axis}$ is at $\frac{xR}{\pi }$.

$\therefore x=2$

Correct answer: 2