How to Calculate Masses and Acceleration in an Atwood Machine Problem

[Ash182]

Atwood Machine Problem please help :)

If one of the masses of an Atwood machine is 1.9 kg, what must be the other mass if the displacement of either mass is to be 0.1 m in the first second after release?

 

[pabloenigma]

Assuming mass-less strings,etc,

Calculate the required acceleration to travel 0.1m in 1 sec from the Kinematic equation S=(1/2)at² (here t=1 sec).

Now assuming tension in the string to be T,
Write equations of motion(F=ma) for both masses,and eliminate the tension to obtain your result