First slide

Centre of mass(com)

Question

In the figure, the L-shaped shaded piece is cut from a metal plate of uniform thickness. The point that corresponds to the center of mass of the L-shaped piece is

Moderate

A

1
B

2
C

3
D

4

Solution

Let the mass of a small square = m
Hence the mass of the square plate = 48m
And the mass of the L shaped plate = 24m
Let the position of centre of mass of remaining structure be ${\vec{r}}^{'}$
${\vec{r}}^{'} = \frac{48 m \times 0 - 24 m \times \vec{r}}{48 m - 24 m} = - \vec{r}$
The point opposite to O' is point 2.

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