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JEE Main202524 Jan 2025Morning ShiftPhysicsRotational MotionActual

A uniform solid cylinder of mass ' m ' and radius ' r ' rolls along an inclined rough plane of inclination 45^ . If it starts to roll from rest from the top of the plane then the linear acceleration of the cylinder's axis will be

Options

  1. A1 2 ~g
  2. B1 3 2 ~g
  3. C2 ~g 3
  4. D2 g

Correct answer

C. 2 ~g 3

Step-by-step solution

( aligned & a= g 1+ I mR ^2 & a= g 2 1+ 1 2 = 2 g 2 3 = 2 g 3 aligned )

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