Why might a country's leaders have wanted to join the nonaligned movement during the cold war?

They wanted to avoid the strife and militarization that characterized the relationship between the Cold War powers (the USA and the USSR).

Details:

As the superpowers in the Cold War, the USA and the USSR, sought to line up countries in allegiance with their positions, a group of nations emphasized the importance for remaining non-aligned.  One of the leaders of the non-alignment movement, Jawaharlal Nehru, said in a speech in 1948:  "When we say our policy is one of non-alignment, obviously we mean non-alignment with military blocs."  The Non-Aligned Movement held its first conference in Belgrade, Yugoslavia in 1961.  The members of the movement saw the siding up being done in the Cold War as a path to increasing world tension and conflict, and sought to remain non-aligned for the sake of preserving peace and equal opportunity for development.

the section of the chart that represents a point at which a bill needs approval from a majority of people in both chambers to advance is j, as this is the only section before the bill becomes law which has both rows (symbolizing the chambers) converging into one, meaning that the two parts of the congress have to approve of it before it can march on with the process.