find acceleration of the system and tension of the string
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The 8 kg mass slides towards right since 4 kg is heavier.
For 4 kg mass:
T₂ + 4a = 4g -----> 1
For 8 kg mass :
T₁ + 8a = T₂ -------> 2
For 2 kg mass :
2g + 2a = T₁ -------> 3
3 in 2 -->
2g + 10a = T₂ ------> 4
4 in 1 -->
2g + 14a = 4g
a = g/7 = 1.4 m/s²
Substitute a value in 1 and 3
T₁ = 22.4 N
T₂ = 33.6 N
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