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Free Body Diagrams

In the given ...

Question

In the given figure, $m_{1}$ = $m_{2}$ = $m_{3}$ = 2 kg. Then, just after cutting string connecting $m_{2}$ and $m_{3}$

A

Acceleration of

m_{2}

is zero.

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B

Acceleartion of

m_{3}

is zero.

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C

Acceleration of

m_{2}

is g/2 upwards.

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D

Acceleration of

m_{1}

is zero.

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Solution

The correct option is D Acceleration of $m_{1}$ is zero.

After cutting string connecting $m_{2}$ and $m_{3}$ , $T = 0$
So,
$a_{3} = g$ (downwards)
$a_{2} = g$ (upwards)
$a_{1} = 0$

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