
Three masses $m, 2 m$ and $3 m$ are arranged in two triangular configurations as shown in figure 1 and…

- $\frac{6 G m^2}{a}\left[2-\frac{6}{\sqrt{2}}\right]$
- 0
- $\frac{G m^2}{a}\left[6+\frac{6}{\sqrt{2}}\right]$
- $-\frac{G m^2}{a}\left[6-\frac{6}{\sqrt{2}}\right]$
Solution

$ \begin{aligned} & =-\left[-\frac{G m^2}{a}\left(2+3+\frac{6}{\sqrt{2}}\right)-\left(-\frac{G m^2}{a}(2+3+6)\right)\right] \\ & =-\frac{G m^2}{a}\left(6-\frac{6}{\sqrt{2}}\right) \end{aligned} $
Asked in: AP EAMCET 2018 (22 Apr Shift 1)