A 1.20kg object is placed on a smoothe level table and is attached to a hanging mass using a light string over frictionless pulley in a Fletcher's trolley arrangement. The 1.20kg object accelerates along the table at 2.31m/s^2 while the hanging object accelerates down at the same rate. Determine the
a. Mass of the hanging object
b. tension in the string
The Attempt at a Solution
I drew 2 FBDs with the forces acting on each individual mass.
We know that Fapp = Fg2 = T
What I can't figure out is a formula that rearranges the variables to find m2
For example, I know that a = F/∑m
But we don't know what ∑m is.
We could relate Fapp to Fg2, but to do that we'd need to know m2
We can relate T to Fapp or Fg2, but we'd need to know m2...
You can see my dilemma. I've tried a good 10 different formulas, and now I'm just spitballing. I have no idea how I am supposed to create a formula that tells us m2 without knowing F