9709 P41 - Nov 2012 - 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
- the normal component of the contact force on P,
- the frictional component of the contact force on P,
- the coefficient of friction between P and the plane.
