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A monkey of mass 'm' climbs up to a rope...

A monkey of mass 'm' climbs up to a rope hung over a fixed pulley with an acceleration relative to the rope g/4. The opposite end of the rope is tied to a bock of mass M lying on a rough horizontal plane. The coeffient of friction between the block and horizontal plane is `mu`. Find the tension in the rope

A

`(m(5M-4muM(g)))/(4(M+m))+muMg`

B

`(m(5M-4muM)g)/(4(M+m))+muMg`

C

`(M(5m-5muM)g)/(4(M+m))-muMg`

D

None of these

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A monkey of mass 'm' climbs up to a rope hung over a fixed pulley with an acceleration g//4 . The opposite end of the rope is tied to a block of mass M lying on a rough horizontal plane. The coefficient of friction between the block and horizontal plane is mu . Find the tension in the rope.

A monkey of mass m climbs up to a rope hung over a fixed pulley. The opposite end of the rope is tied to a weight of mass M lying on a horizontal plane. Neglecting the friction, find the acceleration of both the bodies (relative to the plane) and the tension of the rope for the three cases: (i) The monkey does not move with respect to the rope (ii) The monkey moves upwards with respect to the rope with acceleration a. (iii) The monkey moves downwards with respect to the rope, with acceleration a.

Knowledge Check

  • 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 ?

    A
    2 N
    B
    12N
    C
    8N
    D
    4N

  • A monkey of mass m clings a rope to a slung over a fixed pulley .The opposite end of the rope is tried to a weight of mass M tying on a horizontal table is mu Find the acceleration of weight and the tension of the rope for two cases .The monkey move downward with respect to the rope with an acceleration b. The tension of rope is

    A
    `(Mm(mu g+g +b))/(M +m)`
    B
    `(Mm(mu g-g +b))/(M +m)`
    C
    `(Mm(mu g+g -b))/(M +m)`
    D
    `(Mm(mu g-g -b))/(M +m)`

  • A monkey of mass m clings a rope to a slung over a fixed pulley .The opposite end of the rope is tried to a weight of mass M tying on a horizontal table is mu Find the acceleration of weight and the tension of the rope for two cases .The monkey move downward with respect to the rope with an acceleration b. The acceleration of weight is

    A
    `(2m(g+b)-mu Mg)/(M +2m)`
    B
    `(m(g+b)-mu Mg)/(2(M + m)`
    C
    `(m(g+b)-3mu Mg)/(M +3m)`
    D
    `(m(g+b)-mu Mg)/(M +2m)`

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