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Classical Mechanics Level 5

A Solid metallic cylinder of mass \(m = 1\text{ kg}\) and \(R = 20\text{ cm}\) is free to roll (without sliding) over the inclined surface of a wooden wedge of mass \(M = 0.28\text{ kg}\). Surface of wedge is inclined at an angle 37 degree with the horizontal and wedge lies on a smooth horizontal floor.

when the system is released from rest, calculate the angular acceleration of cylinder in \(\text{rad/sec}^2\).

Take g = 10 SI units

sin(37) = 3/5

cos(37) = 4/5


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