In the figure shown a block A of mass m is rigidly attached with two light springs each of stiffness k and suspended from a fixed support. Another block B of same mass is just placed on it and blocks are in equilibrium. Suddenly the block B is removed. Choose the CORRECT option(s) afterward.

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The springs are in parallel: k e ff ​ = 2 k . With B, stretch is 2 k 2 m g ​ ; after removing B, equilibrium stretch is 2 k m g ​ . Amplitude = 2 k 2 m g ​ − 2 k m g ​ = 2 k m g ​ (B correct), and A oscillates in SHM (A correct). T = 2 π 2 k m ​ ​ so (D) is wrong; v ma x ​ = A ω = 2 k m g ​ m 2 k ​ ​ = 2 k m g 2 ​ ⋅ m m ​ ​ i.e. v ma x ​ = 2 km ( m g ) 2 ​ ​ (C correct). Hence (A, B, C).

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Options:(select one or more)

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