Two masses: m1 = 45 kg, m2 = 12kg.
m1 (45kg) sits at rest on a table top with static friction co. 0.45, kinetic friction co. 0.35.
m2 is suspended in the air. m2 is attached to m1 by a massless wire hung over a frictionless pulley
FBDs, net force equations
The Attempt at a Solution
m1 is at rest, so I'll use the μs = 0.45.
I've attached an image of my solution.
My question is how do I interpret the negative acceleration value? I know it's a vector, but it's not as though the simple mass that is sitting on the table can accelerate, and even pull the 12kg mass even further higher into the air. So, does this mean that the system is at rest and there would be no acceleration because Fg is not greater than the Fk?