First slide

Centre of mass(com)

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 center of mass of the five-plate system.

Easy

A

b/5
B

b/3
C

4b/5
D

2b/5

Solution

$y_{cm} = \frac{m \cdot 0 + m \cdot 0 + m \cdot b + m b + m 2 b}{5 m} = \frac{4 b}{5}$

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