The coefficient of friction between block of mass \( m \) and \( 2 \mathrm{~m} \) is \( \mu=2 \t...

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