Two monkeys of masses 10kg and 8kg are moving along a vertical rope as shown in figure. The former climbing up with an acceleration of 2 m/s2, while the later coming down with a uniform velocity of 2 m/s. The tension in the rope at the fixed support is x2+0.4 N, then the value of x is _____

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Two monkeys of masses 10kg and 8kg are moving along a vertical rope as shown in figure. The former climbing up with an acceleration of 2 m/s², while the later coming down with a uniform velocity of 2 m/s. The tension in the rope at the fixed support is $x^{2} + 0.4 N$ , then the value of $x$ is _____

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answer is 14.

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Let tension in the rope is T. By Newton’s second law, we have
T - (10g + 8g) = 10 x 2 + 8 x 0 or T = 18g + 20 = 196.4N

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