Question

In the arrangement shown in $Fig.6.193$, a wedge of mass $m_3=3.45kg$ is placed on a smooth horizontal surface. Small and light pulley is connected on its top edge, as shown. A light,flexible thread passes over the pulley.Two blocks having mass $m_1=1.3kg$ and $m_2=1.5kg$ are connected at the ends of the thread.
$m_1$ is on smooth horizontal surface and $m_2$ rests on inclined smooth surface of the wedge. The base length of wedge is $2m$ and inclination is ${37}^0$. $m_2$ is initially near the top edge of the wedge.
If the whole system is released from rest, calculate:
Velocity of $m_2$ at that instant
$(g=10m{s}^{-2})$

• A. $\sqrt{14}m{s}^{-1}$
• B. $\sqrt{13}m{s}^{-1}$
• C. $\sqrt{15}m{s}^{-1}$
• D. $\sqrt{16}m{s}^{-1}$

Answer 1

The correct option is B $\sqrt{13}m{s}^{-1}$