MCQ
If pulleys shown in the diagram are smooth and massless and $a_1$ and $a_2$ are acceleration of blocks of mass $4 \,kg$ and $8 \,kg$ respectively, then
  • A
    $a_1=a_2$
  • $a_1=2 a_2$
  • C
    $2 a_1=a_2$
  • D
    $a_1=4 a_2$

Answer

Correct option: B.
$a_1=2 a_2$
b
(b)

For $8 kg T^{\prime}=8 a_1 \ldots(i)$

for $4 kg$

$4 g-T=4 a_2 \ldots(ii)$

for pulley

$T^1=2 T \ldots(iii)$

Using $(i), (ii)$ and $(iii)$

$a_2=\frac{a_1}{2}$

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