A device known as atwoods machine consists of two masses

Question

Problem: A device known as Atwood's machine consists of two masses hanging from the ends of a vertical rope that passes over a pulley. Assume the rope and pulley are mass less and there is no friction in the pulley. When the masses are of 19.3 kg and 10.5 kg,

Part A: Calculate the magnitude of their acceleration, a, and the tension in the rope, T. Take g = 9.81 m/s².

Write your solution in appropriate format and provide references.