Exam-Style Problem

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Nov 2012 p41 q3
4007

A particle P of mass 0.5 kg rests on a rough plane inclined at angle \(\alpha\) to the horizontal, where \(\sin \alpha = 0.28\). A force of magnitude 0.6 N, acting upwards on P at angle \(\alpha\) from a line of greatest slope of the plane, is just sufficient to prevent P sliding down the plane (see diagram). Find

  1. the normal component of the contact force on P,
  2. the frictional component of the contact force on P,
  3. the coefficient of friction between P and the plane.
problem image 4007
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