Question

The distance moved by wedge when $2kg$ block completely slides down the wedgekept on a smooth horizontal surface

• A. $3.8\text{m}$
• B. $1.9\text{m}$
• C. $2\text{m}$
• D. $1.6\text{m}$

Answer 1

The correct option is D $1.6\text{m}$

Answer (1)
$\Sigma F_{\text{ext}}=0\therefore \Delta X_{\text{com}}=0$
$\Delta X_{\text{com}}=\frac{m_1\Delta X_1+m_2\Delta x_2}{m_1+m_2}=2(8-x)+8(-x)=0$
$\Rightarrow 16-2x-8x=0$
$x=1.6$