Question

In the arrangement shown in figure, the relation between acceleration of blocks $m_1$ and $m_2$ is

• A. $a_1=3a_2$
• B. $2a_1=a_2$
• C. $a_1=2a_2$
• D. $3a_1=a_2$

Answer 1

The correct option is D $3a_1=a_2$


Let $x$ be displacement of $m_1$ and $y$ be displacement of $m_2$
For constraint relation
$W_{net}^{Tension}=0$
$-3Tx+Ty=0$
$\Rightarrow y=3x$
Differentiating twice w.r.t. time,
$\Rightarrow a_2=3a_1$