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A block of mass 2 m hangs by an inextens...

A block of mass 2 m hangs by an inextensible light string that passes over a smooth pulley. Another mass m hangs from the other end of the string and is connected to a vertical massless spring. The system is stationary. Just after the string is cut, the accelerations of m and 2m, respectively, are -

A

0,0

B

`0,g darr`

C

`g/2darrgdarr`

D

`2gdarr,gdarr`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • Two masses M and m(M gt m) are joined by a light string passing over a smooth light pulley.

    A
    The acceleration of each block is `((M-m)/(M+m))g`
    B
    The tension in the string is `(2Mmg)/(M+m)`
    C
    The centre of mass of the 'M plus m' system moves down with an acceleration of `g((M-m)/(M+m))^(2)`
    D
    The tension in the string by which the pulley is attached to the rodd is `(M +m)g`

  • Two masses m and M(m lt M) are joined by a light string passing over a smooth and light pulley (as shown)

    A
    the acceleration of each mass is `((M-m)/(M+m))g`
    B
    the tension in the string connecting masses is `((2Mm)/(M+m))g`
    C
    the thrust acting on the pulley is `((4Mm)/(M+m))g`
    D
    None of the above

  • Two masses m and M(gt m) are joined by a light string passing over a smooth light pulley. The centre of mass of the system moves with an acceleration

    A
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    C
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    D
    zero

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