All particles are situated at a distance $R$ from the origin. The distance of centre of mass of the body from the origin will be

More than

R

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Less than

R

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Equal to

R

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At the origin

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Solution

The correct option is D At the origin
$∵ a l l p a r t i c l e s a t a d i s t a n c e a t R c e n t e r o f m a s s = \frac{m_{1} X_{1} + m_{2} X_{2} + m_{3} X_{3} + \dots + m_{n} X_{n}}{(m_{1} {+ m}_{2} + m_{3} + \dots + m_{n})} ∵ X_{1} = X_{2} = X_{3} = X_{4} = R S o t h e c e n t e r o f m a s s n o w l i e s a t t h e c e n t e r o f t h e c i r c l e w h e r e a l l t h e p a r t i c l e s l i e . \Rightarrow S o a t t h e o r i g i n$

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