Question

The lower end of a uniform rod of mass $M$ and length $L$ is hinged at the ground and to the upper end a light inextensible thread is affixed. The thread passes through two ideal pulleys and a load of mass $m$ is suspended from the thread as shown in the figure. Length of the thread between the rod and the pully is $l$. For what values of the mass $m$ of the load, the vertical rod will remain in the state of stable equilibrium?

Answer 1

No such values of m

Answer 2

Based on the provided diagram and common physics principles for equilibrium, the vertical position is not an equilibrium position for $m>0$. Therefore, there are no values of $m$ for which the vertical rod is in stable equilibrium.