1. Two prismatic blocks are placed on top of each other as shown in the figure below. First body has a mass of m1 = 5kg and the second body has a mass of m2 = 10kg. Coefficients of static and kinetic friction, between body 1 and body 2 are us1 = 0.95 and uk1 = 0.8; and between body 2 and the ground are us2 = 0.7 and uk2 = 0.5, respectively. It is required that body 2 translates relative to the ground and there is no relative motion between the 2 bodies. In order to realize this objective, determine
a. The maximum value of a/b, (a/b)max
b. Maximum value of F and corresponding angle θ (for (a/b)max found in part a)
Hint 1: Note that rotation of body 2 relative to ground is restricted
Hint 2: Body 1 will not rotate (relative to body 2) if and only if the net moment acting on body 1 about P is zero
