The steel ball is suspended in an accelerating frame by two cords A and B. If the acceleration of the frame is $a = \frac{g}{3 3}$ , then the tension in A is x times the tension in B. Find x.

Question

The steel ball is suspended in an accelerating frame by two cords A and B. If the acceleration of the frame is a = 3 3 ​ g ​ , then the tension in A is x times the tension in B. Find x.

TestHub · Accepted Answer

T 1 ​ sin 60° + T 2 ​ sin 60° = m g T 1 ​ + T 2 ​ T 1 ​ cos 60° + m × 3 3 ​ g ​ T 2 ​ − T 1 ​ T 1 ​ T 2 ​ ​ = 3 ​ 2 ​ m g = T 2 ​ cos 60° = 3 3 ​ 2 m g ​ = 3 3 ​ 2 m g ​ = 3 3 ​ 4 m g ​ ​

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