A particle P of mass mkg is in equilibrium on a rough plane inclined at an angle θ° to the horizontal. The equilibrium of P is maintained by a force of magnitude 8mgN making an angle 0° with a line of greatest slope (see diagram). [Figure 5.1] The coefficient of friction between P and the plane is 0.5 and P is on the point of slipping down the plane. Find the value of θ.
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