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Standard XII

Physics

Relative Velocity in 2D

Two monkeys o...

Question

Two monkeys of masses $5 k g$ and $4 k g$ are moving along a vertical rope, the former climbing up with an acceleration of $2 m / s^{2}$ while the later coming down with a uniform velocity of $2 m / s$ . Tension in the rope at the fixed support is -

80 N

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100 N

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98 N

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108 N

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Solution

The correct option is B $100 N$
Tension due to monkey on $A = m (g + a) = 5 (10 + 2) = 60$
Tension due to monkey $B = m g = 4 \times 10 = 40$
Total tension $= (60 + 40) = 100$ N

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A monkey of mass 20kg climbs on a rope which can stand a maximum tension of 300 N.in which of the following cases the rope breaks? The monkey

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Ans :1st option

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Two monkeys of masses 5kg and4kg are moving along a vertical rope, the former climbing up with an acceleration of 2m/s2 while the later coming down with a uniform velocity of 2m/s. Tension in the rope at the fixed support is -

The correct option is B 100NTension due to monkey on A=m(g+a)=5(10+2)=60Tension due to monkey B=mg=4×10=40Total tension =(60+40)=100N

Two monkeys of masses $5 k g$ and $4 k g$ are moving along a vertical rope, the former climbing up with an acceleration of $2 m / s^{2}$ while the later coming down with a uniform velocity of $2 m / s$ . Tension in the rope at the fixed support is -

The correct option is B $100 N$
Tension due to monkey on $A = m (g + a) = 5 (10 + 2) = 60$
Tension due to monkey $B = m g = 4 \times 10 = 40$
Total tension $= (60 + 40) = 100$ N