Home
Class 11
PHYSICS
A monkey of mass 40 kg climbs on a massl...

A monkey of mass 40 kg climbs on a massless rope which can stand a maximum tension of 500 N. In which of the following cases will the rope break? `("Take g"=10m s^(-2))`

A

The monkey climbs up with an acceleration of `5ms^(-2)`.

B

The monkey climbs down with an acceleration of `5ms^(-2)`.

C

The monkey climbs up with a uniform speed `5ms^(-2)`.

D

The monkey falls down, the rope freely under gravity.

Text Solution

Verified by Experts

The correct Answer is:
A

Here, mass of monkey, m=40kg
Maximum tension, the rope can stand, T=500N
Tension in the rope will be equal to apparent weight of the monkey (R ).
The rope will break R exceeds T.
(a) When the monkey climbs up with an acceleration `a=5ms^(-2)`
`R=m(g+a)=40(10+5)=600N therefore R gt T`
Hence, the rope will break.
(b). When the monkey climbs down with an acceleration `a=5ms^(-2)`
`R=m(g-a)=40(10-5)=200N therefore R lt T`
Hence, the rope will not break.
(c ). When the monkey falls down the rope freely under gravity `a=g therefore R=m(g-a)=m(g-g)=zero`
Hence, the rope will no break
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • LAWS OF MOTION

    NCERT FINGERTIPS ENGLISH|Exercise HOTS|8 Videos
  • LAWS OF MOTION

    NCERT FINGERTIPS ENGLISH|Exercise Exemplar Problems|9 Videos
  • KINETIC THEORY

    NCERT FINGERTIPS ENGLISH|Exercise Assertion And Reason|10 Videos
  • MECHANICAL PROPERTIES OF FLUIDS

    NCERT FINGERTIPS ENGLISH|Exercise NCERT Exemplar|5 Videos

Similar Questions

Explore conceptually related problems

A monkey of mass 20 kg climbs on a rope which can stand a maximum tension of 300 N. In which of the following case will the rope break . The monkey

A monkey is sitting on a tree. Rahim seeing the monkey brought some fruits and gave them to the monkey and ran into the house immediately. On hearing the sound produced when Rahim was running the monkey was scared and climbed the nearby tree. (A) What values of Rahim, inspired you? A monkey of mass 40 kg climbs on a rope which can stand a maximum tension of 600N. In which of the following cases will the rope break? The monkey

A monkey of mass 40 kg climbs on a rope which can withstand a maximum tension of 600 N In which of the following cases will the rope break : The monkey (a) climbs up with an acceleration of 6 ms^(-2) (b) climbs down with an acceleration of 4 ms^(-2) (c) climbs up with a uniform speed of 5 ms^(-1) (d) falls down the rope nearly freely under gravity ? (Ignore the mass of the rope.)

A boy of mass 40 kg climbs up a rope with an acceleration of 2 ms^(-2) . What is the tension in the rope ?

A monkey of 25 kg is holding a vertical rope. The rope does not break if a body of mass less than 30 kg is suspended with the rope. What will be the maximum acceleration with which the monkey can climb up along the rope ? (Take g=10 ms^(-2) )

A 50 kg man stuck in flood is being lifted vertically by an army helicopter with the help of light rope which can bear a maximum tension of 70 kg-wt. The maximum acceleration with which helicopter can rise so that rope does not breaks is (g = 9.8 ms^-2)

A body of mass 60 kg is holding a vertical rope . The rope can break when a mass of 75 kg is suspended from it. The maximum acceleration with which the boy can climb the rope without breaking it is : ( g = 10 m//s^(2))

Two mankeys (a) and (b ) of same mass m=1 kg are hanging on the dtring such that block of amss 2 kg ramains at rest and it is given that monkeys( B) is just holding the string then which of the following statement (S) is /are correct (g=10m//s^(2))

A monkey A (mass = 5kg) is climbing up a rope tied to a rigid support. The monkey B (mass = 2kg) is holding on to the tail of monkey A. If the tail can tolerate a maximum tension of 30N, what force should monkey A apply on the rope in order to carry monkey B with it? (g = 10 m//s^(2)) .

Two painters are working from a wooden hoard 5 m long suspended from the top of a building by two ropes attached to the ends of the plank. Either rope can withstand a maximum tension of 1040 N . Painter A of mass 80 kg is working at a distance of 1 m from one end. Painter B of mass 60 kg is working at a distance of x in from the centre of mass of the board on the other side. Take mass of the board as 20 kg and g = 10ms^(-2) . The range of x so that both the painters can work safely is