In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.
A parcel of mass 5 kg rests on a rough plane inclined at an angle α \alpha\,α to the horizontal, where tanα=34\displaystyle \tan\alpha = \frac{3}{4}tanα=43. The coefficient of friction between the parcel and the plane is 0.5.
A force of magnitude P P\,P newtons is applied to the parcel up a line of greatest slope.
Find the set of values of P P\,P for which the parcel remains in equilibrium.
State one modelling assumption you have made about the parcel.