An Atwood machine with masses 3m and m is suspended inside a lift accelerating vertically upward with acceleration g/2. The acceleration of 3m relative to the lift is:
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An Atwood machine with masses 3m and m is suspended inside a lift accelerating vertically upward with acceleration g/2. The acceleration of 3m relative to the lift is:

G1 Physics · Accepted Answer

In the upward-accelerating lift frame, effective gravity is gₑff = g + g/2 = 3g/2 downward. Atwood acceleration relative to lift is [(3m-m)/(3m+m)]gₑff = (2/4)(3g/2) = 3g/4.