Question

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. $a_{1}=a_{2}$
• B. $a_{1}=2 a_{2}$
• C. $2 a_{1}=a_{2}$
• D. $a_{1}=4 a_{2}$

Answer 1

Answer: (B)

For $8\, kg\, T'=8 a_{1}$ ...(i)
for $4\, kg$
$4\, g-T=4 a_{2}$ ...(ii)
for pulley
$T^{1}=2 T$ ...(iii)
Using (i), (ii) and (iii)
$a_{2}=\frac{a_{1}}{2}$