Question

Two bodies of masses 1kg and 5kg are lying in x-y plane at (1,0) and (2,4) respectively. The coordinates of centre mass will be a.​

Answer 1

Answer:

Two bodies of masses 1kg and 5kg are lying in x-y plane at (1,0) and (2,4) respectively. The coordinates of centre mass will be a.

Answer 2

The coordinates of the centre of mass is $(\frac{11}{6}, \frac{10}{3})$

Therefore, option (1) is correct.

Explanation:

Given:

Two bodies of masses 1 kg and 5 kg are lying in x-y plane at coordinates (1, 0) and (2, 4)

To find out:

The coordinates of the centre of mass

Solution:

If a mass [tex[m_1[/tex] has coordinate $(x_1,y_1)$ and another mass $m_2$ has coordinat $(x_2,y_2)$

Then the x coordinate of centre of mass is given by

$x=\frac{m_1x_1+m_2x_2}{m_1+m_2}$

And the y coordinate of centre of mass is given by

$y=\frac{m_1y_1+m_2y_2}{m_1+m_2}$

Therefore, as per the question

the x-coordinate of the centre of mass

$x=\frac{1\times 1+5\times 2}{1+5}$

$\implies x=\frac{11}{6}$

And the y-coordinate of the centre of mass

$y=\frac{1\times 0+5\times 4}{1+5}$

$\implies y=\frac{20}{6}$

$\implies y=\frac{10}{3}$

Therefore, the coordinates of the centre of mass is $(\frac{11}{6}, \frac{10}{3})$

Hope this answer is helpful.

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