If pulleys shown in the diagram are smooth and massless and a1 and a2 are acceleration of blocks of mass 4 kg and 8 kg respectively, then

Question

If pulleys shown in the diagram are smooth and massless and a1 and a2 are acceleration of blocks of mass 4 kg and 8 kg respectively, then (A) a1=a2 (B) a1=2 a2 (C) 2 a1=a2 (D) a1=4 a2

Tardigrade Admin · Accepted Answer

For 8 kg T'=8 a1 ...(i) for 4 kg 4 g-T=4 a2 ...(ii) for pulley T1=2 T ...(iii) Using (i), (ii) and (iii) a2=(a1/2)

Q. If pulleys shown in the diagram are smooth and massless and $a_{1}$ and $a_{2}$ are acceleration of blocks of mass $4 k g$ and $8 k g$ respectively, then

$a_{1} = a_{2}$

$a_{1} = 2 a_{2}$

$2 a_{1} = a_{2}$

$a_{1} = 4 a_{2}$

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

Q. If pulleys shown in the diagram are smooth and massless and a1​ and a2​ are acceleration of blocks of mass 4kg and 8kg respectively, then

a1​=a2​

a1​=2a2​

2a1​=a2​

a1​=4a2​