Home
Class 12
PHYSICS
Tow men of masses m(1)and m(2) hold on t...

Tow men of masses `m_(1)and m_(2)` hold on the opposite ends of a rope passing over a frictionless pulley. The men `m_(1)` climbs up the pore with an acceleration of `1.2m//s^(2)` relative to the rope. The mann `m_(2)` climbs up the rope with an acceleration of `2m//s^(2)` relative to the rope. Find the tension in the rope if `m_(1)40 kg and m_(2)=60kg.` Also find the time after the time after which they will be at same horizontal level if they start from rest and are initially separted by 5 m.

Text Solution

Verified by Experts

The correct Answer is:
556, 8 N, `1.47` s
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • NEWTON'S LAWS OF MOTION & FRICTION

    ALLEN|Exercise EXERCISE (O-1)|51 Videos

  • NEWTON'S LAWS OF MOTION & FRICTION

    ALLEN|Exercise EXERCISE (O-2)|31 Videos

  • NEWTON'S LAWS OF MOTION & FRICTION

    ALLEN|Exercise EXERCISE (S-1)|26 Videos

  • MOTION IN A PALNE

    ALLEN|Exercise SOLVED EXAMPLE|28 Videos

  • NEWTONS LAWS OF MOTION

    ALLEN|Exercise EXERCISE-III|28 Videos

Similar Questions

Explore conceptually related problems

A boy of mass 40kg climbs up a rope with an acceleration of 1.2ms^(-2) .What is the tension in the rope?

To raise a weight which is half as much again as his weight a man fastens a rope to it and passes over a smooth pulley, he then climbs up the rope with an acceleration (6g)/(7) relative to the rope. Show that the weight rises with acceleration (8)/(7) , and find the tension of the rope.

Knowledge Check

  • Monkey (1) is climbing up a light rope with acceleration of a_(1)=2m//s^(2) and monkey (2) is climbing upto the same rope with acceleration of a_(2)m//s^(2) Choose incorrect options.

    A
    Tension is same in all parts of rope.
    B
    `a_(1)` must be equal to `a_(2)`
    C
    `a_(2)` must be zero.
    D
    Two monkeys can have different velocities.

  • Two masses m_(1) and m_(2) are attached to a string which passes over a frictionless smooth pulley. When m_(1)=10kg,m_(2)=6kg , the acceleration of masses is

    A
    `20m//s^(2)`
    B
    `5m//s^(2)`
    C
    `2.5m//s^(2)`
    D
    `10m//s^(2)`

  • In order to raise a mass of 100kg a man of mass 60kg fastena a rope to it and passes the rope over a smooth pulley. He climbs the rope with an accelration 5g/4 relative to rope. The tension in the rope is

    A
    1432N
    B
    928N
    C
    1218N
    D
    642N

    • Similar Questions

    Explore conceptually related problems

    Two masses m_(1) and m_(2) ( m_(2) gt m_(1)) are hanging vertically over frictionless pulley. The acceleration of the two masses is :

    Two mass m_(1) and m_(2) are attached to a flexible inextensible massless rope, which passes over a frictionless and massless pully. Find the accelerations of the masses and tension in the rope.

    Two mass m and 2m are attached with each other by a rope passing over a frictionless and massless pulley. If the pulley is accelerated upwards with an acceleration 'a', what is the value of tension?

    In order to raise a mass of 100kg a of mass 60kg fastens a rope to it and passes the rope over a smooth pulley. He climbs the rope with acceleration 5g//4 relative to the rope. The tension in the rope is: Take g=10m//s^(2)

    A cat of mass m = 1 kg climbs to a rope hung over a leight frictionless pulley. The opposite end of the rope is tied to a weight of mass M = 2m lying on a smooth horizontal plane. What is the tension of the rope where the cat move upwards with in acceleration a = 2 m//s^(2) relative to the rope ?

    Home
    Profile