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Questions  

Two semicircular rings of linear mass densities λ and 2λ and of radius 'R' each are joined to form a complete ring. The distance of the center of the mass of complete ring from its center is

a
3R8π
b
2R3π
c
4R21π
d
None of these

detailed solution

Correct option is B

Let the two half rings be placed in left and right of y-axis with centre as shown in figure.Then the coordinate of centre of mass of left and right half rings are −2Rπ,0 and 2Rπ,0.∴ x-coordinates of centre of mass of complete ring ism−2Rπ+2m2Rπ3m=2R3π

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Similar Questions

The disc of mass M and radius R with uniform surface mass density  σ as shown in the figure. The centre of mass of quarter disc (the shaded area) is at the position x3Rπ,x3Rπ where   x is _____, (Round off to the Nearest integer)
[a is the shaded area as shown in the figure]


 


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