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# A uniform disc of radius R is put over another uniform disc of radius 2R of same thickness and density . The peripheries of the two dises touch each other. The position of their COM is

a) at R/3 from the center of the bigger disc towards the center of the smaller disc.

b) at R/5 from the center of the bigger towards the centre of the smaller disc

c) at 2R/5 from the center of the bigger disc towards the center of the smaller disc.

d) none of the above.

Assuming the CM of each disc at its can be We have a 2 particle system
distance of COM from 4m is
$x1= \large\frac{M \times R}{5M}$
$\qquad= \large\frac{R}{5}$
For a 2 particle system of manes m1 and m2
distance of center of mass from m1 is
$X_1=\large\frac{m2d}{(m_1+m_2)}$