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Q.

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/s2, 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=9.8m/sec2)
 
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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

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T(1nn+8n)=1n×9+8×n

Or T=18g+20=196.4N

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