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In the figure below, three ballot boxes are connected by cords, one of which wraps over a pulley having negligible friction on its axle and negligible mass. The masses are mA = 22.0 kg, mB = 40.0 kg, mC = 30.0 kg.
figure:
PulleymA



mB

mC
Now I apply Fnet = ma so. . .
the massA in the x direction would be T1 (tension) = (mA)(ax) and in the Y direction n(mA)(g) = (mA)(ay).
the massB in the y direction would be T1T2  (mB)(g) = (mB)(ay)
the massC in the y direction would be T2  (mC)(g) = (mC)(ay)
but in the equations above wouldnt acceleration in the x direction (ax) = 0? and accel. in the y (ay)direction be (9.8 m/s^2 aka gravity (g))
figure:
PulleymA



mB

mC
Now I apply Fnet = ma so. . .
the massA in the x direction would be T1 (tension) = (mA)(ax) and in the Y direction n(mA)(g) = (mA)(ay).
the massB in the y direction would be T1T2  (mB)(g) = (mB)(ay)
the massC in the y direction would be T2  (mC)(g) = (mC)(ay)
but in the equations above wouldnt acceleration in the x direction (ax) = 0? and accel. in the y (ay)direction be (9.8 m/s^2 aka gravity (g))