Physics - NLM Question with Solution | TestHub

Supports A ($2m$) $⟹F_{s1}=2mg$.

Supports E ($m$) $⟹F_{s2}=mg$.

String Tension ($T$): Balanced at $3mg$.

($F_{s2}\to 0$)

Block E: $a_E=\frac{mg}{m}=\mathbf{g}\downarrow$ (Option D is correct)

Block A: Spring 1 is not cut. Its force $F_{s1}=2mg$

$a_A=0$ (Option A is correct)

Left Side Force: $m_{B}g+F_{s1}=mg+2mg=3mg\downarrow$

Right Side Force: $(m_C+m_D)g+0=2mg\downarrow$

Net Force: $3mg-2mg=mg$

$$a_{system}=\frac{NetForce}{TotalMass}=\frac{mg}{3m}=\frac{g}{3}$$

$3mg>2mg$.

$a_B=\frac{\mathbf{g}}{3}\downarrow$ (Option B is correct)