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In the system shown in the figure, the acceleration of 1 kg mass is
  • a)
    g/4 downwards
  • b)
    g/2 downwards
  • c)
    g/2 upwards
  • d)
    g/4 upwards
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In the system shown in the figure, the acceleration of 1 kg mass isa)g...
If a is downward acceleration of 4 kg block, the upward acceleration of 1 kg block must be 2a.

If T is tension in each part of string, then equations of motion of the two blocks are
4a = 4g − 2T ...(i)
1 × 2a = T −1 g ..(ii)
or 4a = 2T −2g ...(iii)
Adding (i) and (iii), we get
8a  = 2g, a = g / 4
∴ Acceleration of 1 kg block = 2a = g/2 upwards.
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In the system shown in the figure, the acceleration of 1 kg mass isa)g/4 downwardsb)g/2downwardsc)g/2 upwardsd)g/4 upwardsCorrect answer is option 'C'. Can you explain this answer?
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