Question

An object with mass m1 = 6.00 kg, rests on a frictionless horizontal table and is connected to a cable that passes over a pulley and is then fastened to a hanging object with mass m2 = 8.0 kg, as shown in the figure below. Find the acceleration of each object and the tension in the cable.

Answer 1

There is no figure below. Kindly show your own work.

Answer 2

If you draw the FBD for both object separately. Then,

Positive being up and right,
T=m1a Eq 1
T-m2g=-m2a Eq 2
T= -m2a+m2g Eq 3

Eq 3 = Eq 1

m1a= -m2a+m2g
a=m2g/(m1+m2)

since, a=x
then, T=m1x