Easy INTEGER +4 / -1 PYQ · JEE Mains 2021

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 $\left( {0,{{xR} \over \pi }} \right)$. Then, the value of | x | is ______________.

Answer (integer) 2

Solution

Centre of mass of half ring is located at a distance ${{2R} \over \pi }$ from centre of the ring on its axis of symmetry so position of centre of mass in the given question will be $\left( {0,{{xR} \over \pi }} \right)$<br><br>$\Rightarrow$ | x | = 2

About this question

Subject: Physics · Chapter: Rotational Motion · Topic: Centre of Mass

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