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9709 P41 - Jun 2011 - Q4
4009

A block of mass 11 kg is at rest on a rough plane inclined at 30° to the horizontal. A force acts on the block in a direction up the plane parallel to a line of greatest slope. When the magnitude of the force is 2X N the block is on the point of sliding down the plane, and when the magnitude of the force is 9X N the block is on the point of sliding up the plane. Find

  1. the value of X,
  2. the coefficient of friction between the block and the plane.
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