First slide

Methods to locate centre of mass

Question

Eight solid uniform cubes of edge l are stacked together to form a single cube with centre O. One cube is removed from this system. Distance of the centre of mass of remaining 7 cubes from O is

Moderate

A

$\frac{7 \sqrt{3} l}{16}$
B

$\frac{\sqrt{3} l}{16}$
C

$\frac{\sqrt{3} l}{14}$
D

zero

Solution

$m_{1} x_{1} = m_{2} x_{2}$
$\Rightarrow m \frac{\sqrt{3}}{2} l = 7 {mx}_{2} \Rightarrow x_{2} = \frac{\sqrt{3} l}{14}$

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