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System shown in figure is equilibrium in...

System shown in figure is equilibrium in vertical plane. Consider the string and spring to be massless. Both the blocks have same mass `'m'`. If the string is cut, then just after cutting it :

A

Acceleration of `'A'` is `'g'` upwards

B

Acceleration of `'A'` is `'2g'` upwards

C

Acceleration of `'B'` is `'g'` upwards

D

Acceleration of `'B'` is `'g'` downwards

Text Solution

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The correct Answer is:
A, D
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The system shown in figure is in equilibrium. Pulley, springs and the strings are massless. The three blocks A, B and C have equal masses. x_(1) and x_(2) are extensions in the spring 1 and spring 2 respectively. (a) Find the value of |(d^(2)x^(2))/(dt^(2))| immediately after spring 1 is cut . (b) Find the value of |(d^(2)x^(1))/(dt^(2))| and |(d^(2)x^(2))/(dt^(2))| immediately after string AB is cut. (c) Find the value of |(d^(2)x^(1))/(dt^(2))| and |(d^(2)x^(2))/(dt^(2))| immediately after spring 2 is cut .

The system shown in the figure is in equilibrium and all the blocks are at rest. Assume that the masses of the strings, the pulley and the spring and negligible with respect to the masses of the blocks and friction is absent. Find the acceleration of block C, just after cutting the spring 1. [g=10ms^(-2)]

Knowledge Check

  • System shown in fig is in equilibrium and at rest. The spring and string are massless now the string is cut. The acceleration of mass 2m and m just after the string is cut will be:

    A
    `g//2` upwards, g downwards
    B
    g upwards, `g//2` downwards
    C
    g upwards, 2g downwards
    D
    2g upwards, g downwards

  • The system shown in the following figure is in equilibrium and at rest. The spring and string are massless. Now, the string is cut. The acceleration of mass 2m and m, just after the string is cut, will be

    A
    g/2 upwards, g downwards.
    B
    g upwards, g/2 downwards.
    C
    g upwards, 2 g downwards.
    D
    2g upwards, g downwards.

  • System shown in figure is in equilibrium, find the magnitude of net change in the string tension between two masses just after, when one of the springs in cut, Mass of both the blocks is same and equal to m spring constant of both springs is k. .

    A
    `(mg)/(2)`
    B
    `(mg)/(4)`
    C
    `(mg)/(3)`
    D
    `(3mg)/(2)`

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