Question

Two blocks are connected with string as given in the diagram. If system is released from rest, then tension $T$ in the string will be (All strings and pulleys are ideal).

• A. 12g
• B. 4g
• C. 2g
• D. 6g

Answer 1

Answer: (C)

2g

from the given diagram,

let, the acceleration of block $2kg$ is a as the length of string remain constant acceleration of $4kg$ block will 2 a for $2kg$ block

$29=2g-T-\left(1\right)$

on $2a=20-T$

for $4kg$ block

$4\times 2a=2T-4g-\left(2\right)$

$\begin{array}{cc}& \text{(1)div(2)}\frac{1}{2}=\frac{29-T}{T-2g}\\ & \text{or}T-2g=4g-2T\\ & \text{on}T=2g\\ & \text{option}-C\end{array}$