Question 275: Centre of Mass and Rotational Motion

Question

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 ______________.

Accepted Answer

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 $$\left( {0,{{xR} \over \pi }} \right)$$
$$\Rightarrow$$ | x | = 2

Centre of Mass and Rotational Motion

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 ______________.

Integer / Numeric Answer Type