A 30−kg package is placed on an incline when a force P is applied to it as shown on the figure. The coefficients of static and kinetic friction between the package and the incline are 0.2 and 0.1, respectively. The motion of the package depends on the magnitude of the force P. (a) Determine the range of values for P for which the package will remain stationary on the inclined plane. (b) Assuming the package is initially stationary, determine its velocity and position 10 seconds after the force P is reduced to zero, i.e. P = 0.
