Centre of Mass _ Proofs of various shapes and figures

So, If a mass is too big, reduce it to a point to make your calculations easier, this is what modern physicist (*looking at you Newton*) said when people questioned the usage of their formulas in real life objects.

Ofcourse, randomly reducing the mass of entire earth into one point just to use the gravitational laws seemed weird ( if you wondering why , that's because the mass is evenly distributed throughout the body)

So scientists derived few specific rules to do this , and consequently our education system felt teaching the highschool students a very very elaborate chapter on how an apple and the sun can be represented as points of the same size but conveying different meanings. (Only in physics can even two dots be differentiated 😬)

In this blog, we will be deriving the centre of masses of few basic figures and shapes

It covers:-

1) Uniform semi-circular wire

2) Uniform semi-circular disc

3) Uniform hollow hemi-sphere

4) Uniform solid hemi-sphere

5) Truncated body (body having cavity)

<DISCLAIMER :- There are many formulas and concepts used in this blog from the NCERT textbook so kindly read the textbook before going through this blog to save yourself from unanticipated heart attacks >

and to end this blog in a good note, a meme like usual