Spring 1

Block A of mass \(m\) slides on a smooth slider in the system as shown. Block C of the same mass hanging from a pulley pulls block A. When the block A was ata position B, the spring was unstratched. Find the speed of the block A when \(AB = OB = L \).

Options:

  1. \( \sqrt{ \dfrac{gL}{\sqrt2} - \dfrac{KL^2\sqrt2}m } \)
  2. \( \sqrt{ gL - \dfrac{KL^2 (\sqrt2- 1)^2}{2m}} \)
  3. \( \sqrt{gL - \dfrac{2LK^2 (\sqrt2 - 1)^2}m } \)
  4. \( \sqrt{ \dfrac{gL}2 - \dfrac{KL^2\sqrt2}m } \)
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