Question:
The coordinates of centre of mass of a uniform flag shaped lamina (thin flat plale) of mass $4 \mathrm{~kg}$. (The coordinates of the same are shown in figure) are:
Correct Option: , 2
Solution:
(2)
For given Lamina
$x y$
$(1.5,2.5)$
$m_{1}=1, C_{1}=$
$m_{2}=3, C_{2}=$ $(0.5,1.5)$
$X_{c m}=\frac{m_{1} x_{1}+m_{2} x_{2}}{m_{1}+m_{2}}=\frac{1.5+1.5}{4}=0.75$
$Y_{c m}=\frac{m_{1} y_{1}+m_{2} y_{2}}{m_{1}+m_{2}}=\frac{2.5+4.5}{4}=1.75$
$\therefore$ Coordinate of centre of mass of flag shaped lamina
$(0.75,1.75)$