I need help with physics. It's a variation of the Atwood machine.?

Question

#1) An object with mass m1 = 5.00 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 = 12.0 kg. Find the acceleration of each object and the tension in the cable.
#2) Two packing crates of masses m1 = 10.0 kg and m2 = 3.50 kg are connected by a light string that passes over a frictionless pulley. The 3.50 kg crate lies on a smooth incline of angle 40.0°. Find the acceleration of the 3.50 kg crate.

Answer 1

These are solved by looking at FBDs of each mass
#1
Hanging
12*9.81-T=12*a

sliding
T=5*a
plug it in and
12*9.81/17=a

#2
Is the 10 kg hanging?
if yes:
10*9.81-T=10*a

Sliding
T-3.5*9.81*sin(40)=3.5*a

two equations, two unknowns

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