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  4. If the density of material of a square plate and a circular plate shown in figure is same, the centre of mass of the composite system will be

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Q. If the density of material of a square plate and a circular plate shown in figure is same, the centre of mass of the composite system will bePhysics Question Image

System of Particles and Rotational Motion

Solution:

If $\sigma$ is mass per unit area, then mass of square plate is
$l^{2} \sigma$ and mass of circular plate is $\frac{\pi l^{2} \sigma}{4} .$ Since, the square plate
is more massive than the circular plate, therefore the centre of mass of the composite system is inside the square plate.