Consider two blocks $M_1$ and $M_2$. $M_1$ is placed on a table with friction and attached by a string to $M_2$.
The string passes over a massless, frictionless pulley so that $M_2$ hangs down, as shown in the figure.
$M_1 = 18$ kg and $M_2$ is unknown.
The coefficients of friction between $M_1$ and the surface are:
• static friction: $\mu_s = 0.36$
• kinetic friction: $\mu_k = 0.12$
When the blocks are released, the system is observed to remain at rest.
What is the largest possible value for $M_2$ such that the system remains at rest?