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all the particles ar situated at a distance R from the origin .The distance of centre of mass of the body will be

all the particles ar situated at a distance R from the origin .The distance of centre of mass of the body will be 

Grade:12

1 Answers

Arun
25758 Points
4 years ago
Perhaps the easiest way is to consider all the particles to be situated on a circular ring of radius R centered on the origin 
from symmetry the CoM cannot be outside the ring. 
for i particle, the CoM will be on the ring ie: = R 
for ii or more particles it will be
...... 
for infinite particles it will be at the origin O ie: = 0 
hence answer is
 

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