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  4. A machinist starts with three identical square plates but cuts one corner from one of them, two corners from the second and three corners from the third. Rank the three according to the x-coordinate of their centre of mass, from smallest to largest.

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Q. A machinist starts with three identical square plates but cuts one corner from one of them, two corners from the second and three corners from the third. Rank the three according to the $x$-coordinate of their centre of mass, from smallest to largest.Physics Question Image

System of Particles and Rotational Motion

Solution:

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$x_{1}=\left(\frac{m x}{M-m}\right)\left|x_{2}=\left(\frac{2 m x}{M-2 m}\right)\right| x_{3}=\left(\frac{m x}{M-3 m}\right)$
$x_{1}< x_{3} < x_{2}$