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System Of Particles And Rotational Motion
the x coordinate is given as
X = m1x1 + m2x2 / (m1 + m2)
here,
m1 = 0.5 kg
m2 = 1 kg
x1 = -1
x2 = 3
so, we have
X = [(0.5 × -1) + (1 × 3)] / [0.5 + 1]
= (-0.5 + 3) / 1.5
so,
X = 1.66
and similarly
the y coordinate is given as
Y = m1y1 + m2y2 / (m1 + m2)
here,
y1 = 2
y2 = 4
so, we have
Y = [(0.5 × 2) + (1 × 4)] / [0.5 + 1]
= (1 + 4) / 1.5
so,
Y = 3.33
thus, the coordinates of center of mass will be
(X,Y) = (1.66, 3.33)
practice
Two bodies of mass $$0.5$$ kg and $$1$$ kg are lying in xy plane at $$( -1, 2)$$ and $$(3, 4)$$ respectively. What are the co-ordinates of the centre of mass?
A
$$\frac{2}{3}, \frac{5}{2}$$B
$$\frac{1}{3}, \frac{2}{5}$$C
$$\frac{5}{3}, \frac{10}{3}$$D
$$\frac{5}{2}, \frac{8}{3}$$
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