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Com of Solid Bodies

Five uniform ...

Question

Five uniform circular plates, each of diameter b and mass m, are laid out in a pattern shown. Using the origin shown, find the y coordinate of the centre of mass of the five-plate system.

A

b/5

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B

b/3

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C

4b/5

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D

2b/5

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Solution

The correct option is C 4b/5
We know that as per definition of centre of mass
Y $_{c m} = \frac{\int y d m}{\int d m} = \frac{b m + 2 b m + b m}{5 m} = \frac{4 b}{5}$

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