Question

Two particles of equal mass are connected by a light rod of negligible mass as
shown in the figure. The rod is rotated about end B in horizontal plane. The ratio of
tensions in smaller part to other is
​

Answer 1

see this pic , hope u got the answer

Answer 2

Answer:

The ratio of tensions in smaller parts to other is $1:2$

​Explanation:

Outer part is the shorter part, $l=\frac{L}{3}$

Mass connected to this part $=m$

$T_{1}=\frac{m v^{2}}{1}=\frac{3 m v^{2}}{L}$

Inner part is longer part, $l^{\prime}=\frac{2 L}{3}$

Mass connected to this part$=2 m$

$\begin{aligned}&T_{2}=\frac{6 m v v^{2}}{2 L}+T_{1}=\frac{6 m u v^{2}}{L} \\&\frac{T_{1}}{T_{2}}=\frac{1}{2}\end{aligned}$