Topic: Engineering Mechanics
Tension in the cable supporting a lift of weight 'W' and having an acceleration of 'a' while going upward is (g is acceleration due to gravity)
- A. W(1 + a/g)
- B. W(1 - a/g)
- C. W(2 + a/g)
- D. W(1 + 2a/g)
Answer: A. W(1 + a/g)
Explanation: Applying Newton's second law for a lift moving upwards with an acceleration 'a', the net upward force is equal to mass times acceleration. Therefore, T - W = ma. Since mass m = W/g, we can substitute this to get T = W + (W/g)a. Factoring out W gives the tension T = W(1 + a/g).