A string passing over a pulley has a 3.80-kg mass hanging from one end and a 3.15-kg mass hanging from the other end. The pulley is a uniform solid cylinder of radius 4.0 cm and mass 0.80 kg. If the bearings of they pulley were frictionless, what would be the acceleration of the two masses?
The Attempt at a Solution
I tried rearranging the bottom two equations into the form:
I then plugged variables into the following equation:
This equation then simplifies to:
This is where I'm stuck. How do I proceed from here? Thanks.