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Question

In the system shown in figure, the acceleration of 1kg mass is


A

g4 downwards

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B

g2 downwards

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C

g2 upwards

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D

g4 upwards

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Solution

The correct option is C

g2 upwards


4g2T=4a (i)

The equation of motion or 1 kg block is

T1g=1×2a (ii)

or 2T2g=4a (iii)

Adding (i) and (iii), we get

2g=8a or a=g4

Acceleration of 1 kg block = 2a=g2 upwards


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