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A uniform solid cylinder of mass 'π‘š' and radius 'π‘Ÿ' rolls along an inclined rough plane of inclination \(45^\circ .\) If…

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A uniform solid cylinder of mass 'π‘š' and radius 'π‘Ÿ' rolls along an inclined rough plane of inclination \(45^\circ .\) If it starts to roll from rest from the top of the plane then the linear acceleration of the cylinder's axis will be

[JEE Main 2025, 24 Jan (Shift 1)]

a

\(\frac{\sqrt{2}g}{3}\)

b

\(\sqrt{2}g\)

c

\(\frac{1}{\sqrt{2}}g\)

d

\(\frac{1}{3\sqrt{2}}g\)

πŸ”’
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