The 30-kg box A is held in equilibrium on the inclined surface by the force acting on the ropes wrapped over the fixed cylinder. The coefficient of static friction between the box and the inclined surface is 0.2. Determine the largest value of T that will NOT cause the box to CLIMB UP the inclined surface in the following cases: (a) Case I: The surface of the drum B and the rope is frictionless. (the entire rope has the same tension, shown as T) (b) Case II: The coefficient of static friction between the rope and the drum is 0.1. (the tension of the rope between A and B (TAB) and the tension of the vertical part of the rope (shown as T) are different). A 35° B 25° T

The 30-kg box A is held in equilibrium on the inclined surface by the force acting on the ropes wrapped over the fixed cylinder. The coefficient of static friction between the box and the inclined surface is 0.2. Determine the largest value of T that will NOT cause the box to CLIMB UP the inclined surface in the following cases: (a) Case I: The surface of the drum B and the rope is frictionless. (the entire rope has the same tension, shown as T) (b) Case II: The coefficient of static friction between the rope and the drum is 0.1. (the tension of the rope between A and B (TAB) and the tension of the vertical part of the rope (shown as T) are different). A 35° B 25° T