Correct Answer - Option 3 : (-1/3, 8/3)
The correct answer is option 3) i.e. (-1/3,8/3).
CONCEPT:
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Centre of mass: The point on a body where the whole of its mass is assumed to be concentrated is known as the center of mass of the body.
- The X-coordinate and Y-coordinate of the centre of mass are given by:
\(X_{COM} = \frac{m_{1}x_{1}+m_{2}x_{2}}{m_{1}+m_{2}}\)
\(Y_{COM} = \frac{m_{1}y_{1}+m_{2}y_{2}}{m_{1}+m_{2}}\)
CALCULATION:
m1 = 1 kg, m2 = 2 kg, x1 = 1, x2 = -1, y1 = 2, y2 = 3
Putting the values in above formula we get,
Xcm = -1/3
Ycm = 8/3