ISRO Mechanical & Aerospace 2010 - Question 22

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The tension in the cable supporting a lift moving upwards is twice the tension when the lift moves downwards. What is the acceleration of the lift?

  • A. g/4
  • B. g/3
  • C. g/2
  • D. g

Answer: B. g/3

Explanation: $T_{up} = m(g+a)$, $T_{down} = m(g-a)$. $m(g+a) = 2m(g-a) \Rightarrow g+a = 2g-2a \Rightarrow 3a = g \Rightarrow a = g/3$.

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