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In an atwood machine the two blocks have...

In an atwood machine the two blocks have massess `1kg` and `3kg`. The pulley is massless and frictionless and string is light. The acceleration of the centre of mass (in `m//s^(2)`) of this system is `0.5x`. Find the value of `x`.

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Knowledge Check

  • Find the acceleration of the block of mass m. Assume pulleys are massless and frictionless.

    A
    g/3
    B
    `(2g)/3`
    C
    `g/2`
    D
    None

  • Two bodies of massless string passing over a frictionless pulley. The acceleration of the system is (g=9.8m//s^(2))

    A
    `4.9m//s^(2)`
    B
    `2.45m//s^(2)`
    C
    `1.4m//s^(2)`
    D
    `9.5m//s^(2)`

  • Two blocks of masses 3 kg and 6 kg are connected by a string as shown in the figure over a frictionless pulley. The acceleration of the system is

    A
    `4m//s^(2)`
    B
    `2m//s^(2)`
    C
    zero
    D
    `6m//s^(2)`