(A)
- Akash Anand Good Work
A → T → x
B → 2T → y
Tx + 2Ty = 0
x+2y =0
a1 = -2a2 .......( i )
T - 4g = 4a1 .......( ii )
T - 5g = 5a2 .......( iii )
Solving we get :
a1 = -2g / 7
and a2 = g / 7
Let the acceleration for block A be a1 downwards and that for B be a2 upwards.
so,A→T→-x
B→2T→Y
-Tx+2Ty=0
x=2y
a1=2a2
now,4g-T=4a1
8g-2T=8a1=8(2a2)=16a2....(1)
2T-5g=a2....(2)
(1)+(2)
3g=17a2
a2=3g/17
a1=6g/17
SO THE ANSWER SHOULD BE NONE OF THIS i.e. (D)
accln A = g/9 downward
accln B = g/18 upward