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Classical Mechanics Level pending

Block \(A\) of mass \(m\) is performing SHM of amplitude \(a\). Another block \(B\) of mass \(m\) is gently placed on A when it is at \(\frac { a }{ 2 } \) from mean position and \(B\) sticks to \(A\). Find amplitude of new SHM.

Details Given \(a=1\)

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