Q82 / 90 · JEE Main 2021 (22 Jul Shift 1) · Physics

The position of the centre of mass of a uniform semi-circular 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, $(0, \frac{x R}{π}) .$ Then, the value of $| x |$ is $.$

Correct answer: 2

Solution

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

Distance from centre $\Rightarrow x = 2$

Hence, the correct answer is 2.

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