Question

Find centre of mass of a semicircular disc.

Answer 1

dm=бπrdr                             б=m/πR²/2  =2m/πR²²
xcm=0

ycm=$\int\limits^a_b {x} \, dx \int\limits^a_b {x} \, dx$
      =4r/3π
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Answer 2

$\huge\boxed{\texttt{\fcolorbox{red}{aqua}{Hey Mate}}}$

In physics, the center of mass of a distribution of mass in space is the unique point where the weighted relative position of the distributed mass sums to zero, or the point where if a force is applied it moves in the direction of the force without rotating