The coefficient of friction between block of mass \( m \) and \( 2 m \) is \( \mu=2 \tan \theta ...

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The coefficient of friction between block of mass \( m \) and \( 2 m \) is \( \mu=2 \tan \theta \). There is no friction between block of mass \( 2 m \) and inclined plane. The maximum amplitude of the two block system for which there is no relative motion between both the blocks is
(1) \( g \sin \theta \sqrt{\frac{k}{m}} \)
(2) \( \frac{m g \sin \theta}{k} \)
(3) \( \frac{3 m g \sin \theta}{k} \)
(4) None of these
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