Question

two bodies of masses 0.8 kg and 1.2 kg are located at (1,-2) and (-3,4) respectively.the coordinate of CM are a) (2,3). b) (-1.4,1.6). c) (-2,-3). d) (-4.6,2.3).


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Answer 1

The coordinates of center of mass are (-1.4, 1.6).

Explanation:

Mass of body 1, $m_1=0.8\ kg$

Mass of body 2, $m_2=1.2\ kg$

These two bodies are located at (1,-2) and (-3,4). The coordinates of center of mass are :

$C=(\dfrac{m_1x_1+m_2x_2}{m_1+m_2},\dfrac{m_1y_1+m_2y_2}{m_1+m_2})\\\\C=(\dfrac{0.8\times 1+1.2\times (-3)}{0.8+1.2},\dfrac{0.8\times (-2)+1.2\times 4}{0.8+1.2})\\\\C=(-1.4, 1.6)$

So, the coordinates of center of mass are (-1.4, 1.6).

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