Answer:
The acceleration of the elevator machine is, a = 3 m/s²
Step-by-step explanation:
Given data,
The mass on the one end, m = 5 kg
The mass on the other end, M = 10 kg
According to the Atwood's machine
Ma = Mg - T
ma = T - mg
Adding those equations,
a (M + m) = g ( M - m)
a = (M + m) / ( M - m)
Substituting the values,
a = (10 + 5) / (10 - 5)
= 3 m/s²
The acceleration of the elevator machine is, a = 3 m/s²