A solid sphere of 1.46kg and radius 0.1m, is rolling down a rough plane that is inclined at an angle 30 degrees to the horizontal. The 3 forces acting on the sphere are its weight, friction force and the normal reaction. The sphere starts rolling down when its point of contact with the plane is at the origin 0. By considering Newton's second law applied to the motion of the centre of mass of the sphere, calculate the magnitude of the normal reaction N, giving your answer to 3 decimal places.
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