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  4. Figure shows a cubical box that has been constructed from uniform metal plate of negligible thickness. The box is open at the top and has edge length 40 cm. The z co-ordinate of the centre of mass of the box in cm, is

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Q. Figure shows a cubical box that has been constructed from uniform metal plate of negligible thickness. The box is open at the top and has edge length $40 \,cm$. The $z$ co-ordinate of the centre of mass of the box in $cm$, isPhysics Question Image

System of Particles and Rotational Motion

Solution:

If $m$ is mass of one plate, then
$Z_{c m}=\frac{m \cdot 20+m \cdot 20+m \cdot 20+m \cdot 20+m \cdot 0}{5\, m}=16\, cm$