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Two monkeys of masses 10 kg and 8 kg are moving along a vertical rope as shown in diagram. The former climbing up with an acceleration of $2 m / s^{2}$ , while the later coming up with a uniform velocity of 2 m/s. Find the tension in the rope at the fixed support.(in SI units) (take $g = 9.8 m / \sec^{2}$ )

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answer is 196.4.

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Detailed Solution

Let tension in the rope is T. By Newton's second law, we have

$T (1 n_{n} + 8 n) = 1 n \times 9 + 8 \times n$

Or $T = 18 g + 20 = 196.4 N$

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