Question

Answer q no 7 .explain mathematicaly

Answer 1

Answer: option b: $m_2=m_4$

Explanation:

COM (center of mass) is the point where mass of the entire body is considered to be concentrated.

In the given system, Diagonal AC is formed when masses $m_1$ and $m_3$ are joined. The COM would lie anywhere on this diagonal of the COM of masses $m_2$ and $m_4$ lies on the diagonal as well. we know that COM lies on the line joining the two masses. The diagonal formed by joining  $m_2$ and $m_4$  would intersect the AC at the mid point. Hence, the COM of  $m_2$ and $m_4$  should lie at equal distance from each mass. This is possible only when the two masses are equal. Hence, required condition is  $m_2=m_4$

Answer 2

Answer:

When m2 = m4

reason coz all mass of that occurred in center and it only possible when both diagonal are equal in masses

IT'S SQUARE BUT ALSO MASS SHOULD BE SAME