Location of centre on mass for multiple point masses

Question

Three rods of the same mass are placed as shown in the figure. What will be the co-ordinates of the center of mass of the system ?

Easy

Solution

Use the definition of C.M. :

${\mathrm{x}}_{\mathrm{cm}}=\frac{\sum {\mathrm{m}}_{\mathrm{i}}{\mathrm{x}}_{\mathrm{i}}}{\sum {\mathrm{m}}_{\mathrm{i}}}$

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