Two monkeys of masses 10 and 8 kg are moving along a vertical rope, the former climbing up with an acceleration of 2 m / s 2 while the latter coming down with a uniform velocity of 2m/s. Find the tens

Question

Two monkeys of masses 10 and 8 kg are moving along a vertical rope, the former climbing up with an acceleration of 2 m / s 2 while the latter coming down with a uniform velocity of 2m/s. Find the tension in the rope at the fixed support (in N).

TestHub · Accepted Answer

Monkey 1 (10 kg) climbs up with a = 2 m/s 2 : F 1 ​ = m 1 ​ ( g + a ) = 10 ( 10 + 2 ) = 120 N Monkey 2 (8 kg) comes down with uniform velocity ( a = 0 ): F 2 ​ = m 2 ​ g = 80 N Rope at the support carries both: T = F 1 ​ + F 2 ​ = 120 + 80 = 200 N

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