How do you find tension and friction on an inclined plane

[mfb]

A fully frictionless pulley system would slip between pulley and rope, making the pulley mass irrelevant.
Anyway, no information about the pulley system is given, so frictionless and massless is the most reasonable assumption.

 

[haruspex]

A fully frictionless pulley system would slip between pulley and rope, making the pulley mass irrelevant.

Yes, but that is never what is meant in a problem statement by a 'frictionless pulley'. If it were frictionless in that sense there would be no need for it to be a pulley - it could just be a frictionless shoulder.

Anyway, no information about the pulley system is given, so frictionless and massless is the most reasonable assumption.

Sure, but Leah (or other readers) may in future encounter problems where the pulley has inertia, so I felt it was important to get the statement right. (And problems where the pulley has relevant inertia may also describe the pulley as frictionless, without necessarily clarifying that this only refers to the axle.)