Center of MassHardBloom L3
Question
Eight solid uniform cubes of edge l are stacked together to form a single cube with center O. One cube is removed from this system. Distance of the center of mass of remaining 7 cubes from O is
Options
A.$\frac{7\sqrt{3}l}{16}$
B.$\frac{\sqrt{3}l}{16}$
C.$\frac{\sqrt{3}l}{14}$
D.zero
Solution
Sol. Com of entire system, when single block is placed at its previous place is at 0.
m1r1 = m2r2
7 mr1 = $m\left( \frac{\sqrt{3}\mathcal{l}}{2} \right)$
r1 = $\frac{\sqrt{3}\mathcal{l}}{14}$
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