You visited us 2 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

100 N

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

98 N

No worries! We‘ve got your back. Try BYJU‘S free classes today!

108 N

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

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

Suggest Corrections

Similar questions

Q. Two monkeys of masses

10 k g

and

8 k g

are moving along a vertical light rope, the former climbing up with an acceleration of

2 m / s^{2}

when the latter coming down with a uniform velocity of

2 m / s

Find tension in the rope at the fixed support

Q. Two monkeys of masses 10 kg and 8 kg are moving along a vertical rope which is light and inextensible, the former climbing up with an acceleration of

2 m / s^{2}

while the later coming down with a uniform velocity of 2m/s. Find the tension (in newtons).

Q. Three monkeys A,B,C with masses of 10,15,8 kg respectively are climbing up and down the rope suspended from

D

. At the instant represented,

A

is descending the rope with an acceleration of

2 m / s^{2}

and

C

is pulling himself up with an acceleration of

1.5 m / s^{2}

. Monkeys

B

is climbing up with a constant speed of

0.8

m/s. Treat the rope and monkeys as a complete system and calculate the tension

T

in the rope at

D

(g = 10 m / s^{2})

Q. Three monkeys

A, B

and

C

with masses of

10, 15

8 k g

respectively are climbing up & down the rope suspended from

D

. At the instant represented,

A

is descending the rope with an acceleration of

2 m / s^{2}

C

is pulling himself up with acceleration of

1.5 m / s^{2}

. Monkey

B

is climbing up with a constant speed of

0.8 m / s

. Calculate the tension

T

in the rope at

D

(g = 10 m / s^{- 2})

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

Options

Climbs up with an acceleration of 6m/s2

Climbs up with a uniform speed of 5m/s

Climbs down with an acceleration of 4m/s2

Falls down the rope nearly freely under gravity

Ans :1st option

Join BYJU'S Learning Program

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