Two rings of same material are placed as shown in figure. Distance of centre of mass of the system from point O is :-

Question

Two rings of same material are placed as shown in figure. Distance of centre of mass of the system from point O is :- <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-jbbcuycfysd7l610.jpg" /> (A) (5 R/6) (B) (R/4) (C) 3R (D) 2R

Tardigrade Admin · Accepted Answer

m1=M,m2=2M xC M=(m1 x1 + m2 x2/ m1 + m2)=(M × R + 2 M × 4 R/M + 2 M)

Q. Two rings of same material are placed as shown in figure. Distance of centre of mass of the system from point $O$ is :-

$\frac{5 R}{6}$

$\frac{R}{4}$

$3 R$

$2 R$

$m_{1} = M, m_{2} = 2 M$
$x_{CM} = \frac{m _{1} x _{1} + m _{2} x _{2}}{m _{1} + m _{2}} = \frac{M \times R + 2 M \times 4 R}{M + 2 M}$

Q. Two rings of same material are placed as shown in figure. Distance of centre of mass of the system from point O is :-

65R​

4R​

3R

2R