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PhysicsNLMChallenging application of NLMHard2 minQB

PhysicsHardsingle choice

In the given diagram, if the spring connecting D and C is cut then what will be the accelerations of blocks A, B, C, D at that instant ?

Answer:

Solution:

Spring forces cannot change instantly.

Before cutting: $k_{1} x_{1} = 3 g$ , $k_{2} x_{2} = 6 g$ , $k_{3} x_{3} = 10 g$ .

After the cut $k_{2} x_{2} = 0$ : $a_{A} = 0$ .

For B and C: $3 g - T = 2 a$ , $T + 3 g = 3 a$

$a_{B} = a_{C} = \frac{6 g}{5}$ downward.

$a_{D} = \frac{k _{3} x _{3} - 4 g}{4}$ $= \frac{3 g}{2}$ upward. Answer: (B)

Stream:JEESubject:PhysicsTopic:NLMSubtopic:Challenging application of NLM

⏱ 2mℹ️ Source: QB

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