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In order to raise a mass of 100kg a man ...

In order to raise a mass of 100kg a man 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

1432N

B

928N

C

1218N

D

642N

Text Solution

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The correct Answer is:
c
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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

  • 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
    1432N
    B
    928N
    C
    1219N
    D
    642N
  • In order to raise a mass of 100 kg, a man of mass 60 kg 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=10 ms^(-2) )

    A
    `(4875)/(8)N`
    B
    `(4875)/(2)N`
    C
    `(4875)/(4)N`
    D
    `(4875)/(6)N`
  • An object of mass 5 kg is attached to the end ofa rope. If the rope is pulled upward with an acceleration 0.30 ms^(-2), what is the tension in the rope?

    A
    30.5 N
    B
    40.5 N
    C
    50.5 N
    D
    60.5 N
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