Two semicircular rings each of mass densities lambda and 2lambda and of radius 'R' each are joimed to form a - Physics -

Question

Two semicircular rings each of mass densities lambda and 2lambda
and of radius 'R' each are joimed to form a complete ring The
distance of the centre of mass of complete ring from its centre is
?

Vijay Shankar Yadav · Accepted Answer

Dear Student,
Mass of first ring =λπRMass of second ring =2λπRthen center of mass=λπR×2Rπ+2λπR×2RπλπR+2λπR=6R3π=2Rπ this is position of center of mass from center of ring 
Regards

Two semicircular rings each of mass densities lambda and 2lambda and of radius 'R' each are joimed to form a complete ring. The distance of the centre of mass of complete ring from its centre is ?