2
In the system shown in the figure, the acceleration of the 1 kg mass and the tension in the string connecting
between A and B is:
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If a is downwards acceleration of 4 kg block, the upwards acceleration of 1 kg block must be 2a.
Let T be the tension in each part of a string.
The equation of motion on 4 kg block is
4g-2T=4a ............(i)
The equation of motion or 1kg block is
T−1kg=1×2a .......(ii)
or 2T-2g=4a ....... (iii)
Adding (i) and (iii), we get
2g=8a or a=
4
g
∴ Acceleration of 1 kg block = 2a=
2
g
upwards.
Explanation:
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2
In the system shown in the figure, the acceleration of the 1 kg mass and the tension in the string connecting
between A and B is:
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