Rotational Motion Problem

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Rotational Motion Problem

Physics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Okay. Go on....
Angle of the inclination of the wedge \(\theta\), spring constant is \(k\), mass of the cylinder is \(m\) and its radius is \(r\). The surface is rough and the cylinder rolls without slipping. We have to find the maximum possible elongation of the spring.
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If this Is a statics problem, then equilibrium is achieved when the spring force equals the downward component of the weight, \[kx=mg\ \sin(\theta)\]so\[x=\frac{mg}{k}\sin(\theta)\]

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hmm nope that isn't the answer

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