Problem $9$:

Two blocks of weights $W_A$ and $W_B$ are

placed on an incline on top of each other

and are connected via a cable passing thru

a frictionless pulley as show. Assuming

that the coefficient of static friction

between block A and the surface of the

incline is ${}_A,$ and between block A and

block $B$ is ${}_{\frac{A}{B}},$ calculate the maximum

angle $$ for which the system will remain

in equilibrium.

Assume:

A$)W_A>W_B$

B$)W_A$

Solution: