Find the acceleration of the block of mass M = 5.06 kg in the figure below. (Take m = 4.24 kg.)
If you pasted a diagram, that does not work here.
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Say TL = tension in left string
Say TR = tension in right string
a = acceleration of all to right
On the middle mass
F = TR - TL - 0.10*2*g = 2 a
TR = 5.06 (g-a)
TL = 4.24 (g+a)
so
5.06(g-a)-4.24(g+a) =2 a + 0.2g
0.82 g - 9.3 a = 2 a + 0.2 g
11.3 a = 0.62 g
a = .055 g
if g = 9.81 m/s^2
then
a = 0.538 m/s^2