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A block A of mass 6kg is applied on a fr...

A block A of mass 6kg is applied on a frictionless table. A thread tied to it passes over a frictionless pulley and carries a body B of mass 4kg at the other end. Find the acceleration of the system and tension in the thread (given `g=10ms^(-2)`)

Text Solution

Verified by Experts

The correct Answer is:
`a=4 m//s^(2) , 24 N`
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A block A of mass 8 kg is placed on a frictionless horizontal table. A thread tied to it passes over a frictionless pulley and carries a body B of mass 2 kg at the other end. Find the acceleration of the system. Also find the tension in the thread. If the thread is cut into two and tied to the ends of a spring of forceconstant 1600N/m, find the amount of stretching of the spring. Neglect the mass of thread and of spring (g = 9.8 m//s^(2))

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Knowledge Check

  • A bock A of mass 6 kg is applied on a frictionless table. A thread tied to it passes over a frictionless pulley and carries a body B of mass 4kg at the other end. Find the acceleration of the system and tension in the thread (given g=10 ms^(-2) )

    A
    `2m//s^(2), 12N`
    B
    `4 m//s^(2), 24N`
    C
    `6 m//s^(2), 48 N`
    D
    `8 m//s^(2), 60 N`
  • Figure shows a weight of 30 kg suspended at one end of cord and a weight of 70 kg applied at other end of the cord passing over a pulley. Neglecting weight of rope and pulley. Find the acceleration of the system and tension in the cord (g=10 ms^(-2))

    A
    `2m//s^(2), 120 N`
    B
    `4m//s^(2), 420 N`
    C
    `6m//s^(2), 180 N`
    D
    `4 m//s^(2), 240 N`
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