1. The uniform rod with center of mass at G is supported by the pegs A and B, which are fixed in the wheel. If the coefficient of friction between the rod and pegs is µ,, determine the angle () through which the wheel may be slowly turned about its horizontal axis through O, starting from the position shown, before the rod begins to slip. Neglect the diameter of the rod compared with the other dimensions.
2. The solid semicylinder of mass m and radius r is rolled through an angle () by the horizontal force P. If the coefficient of static friction is µ,s, determine the angle () at which the cylinder begins to slip on the horizontal surface as P is gradually increased. What value of µ,s would permit () to reach 90°?
