Question

Figure shows a system of two blocks connected by a spring, kept on a frictionless surface. Block $A$ is in equilibrium. Suddenly supporting vertical wall $PQ$ is removed, then which of the following statements is/are correct

• A. Initial acceleration of block $A$ is $\frac{F}{m}$
• B. Initial acceleration of block $B$ is $\frac{F}{2m}$
• C. Initial acceleration of block $B$ is zero
• D. Initial acceleration of block $A$ is $\frac{F}{3m}$

Answer 1

Answer: (B)

Initial acceleration of block $B$ is $\frac{F}{2m}$

$Solution:$

If Block $A$ is in equilibrium,

$F=kx$

Normal by ball is vanished suddenly

So, Initial acceleration of $B=\frac{Kx}{2m}$

$=\frac{F}{2m}$

$\therefore$ option (B) is correct.