A uniform cylinder of mass \( M \) and radius \( R \) is released from rest on a rough inclined ...

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A uniform cylinder of mass \( M \) and radius \( R \) is released from rest on a rough inclined surface of inclination \( \theta \) with the horizontal as shown in figure. As the cylinder rolls down the inclined surface, the maximum elongation in the spring of stiffness \( k \) is
(a) \( \frac{3}{4} \frac{M g \sin \theta}{k} \)
(b) \( \frac{2 M g \sin \theta}{k} \)
(c) \( \frac{M g \sin \theta}{k} \)
(d) None of these
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