Question bank/JEE Main/Physics

A uniform solid cylinder of mass M = 2 kg and radius R = 10 cm
is connected about an axis through the centre of the cylinder to a
horizontal spring with spring constant 4 N/m. The cylinder is pulled
back, stretching the spring 1 m from equilibrium. When released, the
cylinder rolls without slipping. What is the speed of the center of the
cylinder when it returns to equilibrium ?

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wsp = ∆k

Source: Grass-G / P-01 Physics Paper-01_Update.docx